# Name Period Date. Practice FINAL EXAM Intro to Calculus (50 points) Show all work on separate sheet of paper for full credit!

Size: px
Start display at page:

Download "Name Period Date. Practice FINAL EXAM Intro to Calculus (50 points) Show all work on separate sheet of paper for full credit!"

Transcription

1 Name Period Date Practice FINAL EXAM Intro to Calculus (0 points) Show all work on separate sheet of paper for full credit! ) Evaluate the algebraic epression for the given value or values of the variable(s). + ( - ); = ) Evaluate the algebraic epression for the given value or values of the variable(s). - ; = - and = 7 + 0) Simplif the eponential epression. - ) Add or subtract terms whenever possible ) Add or subtract terms whenever possible ) Find the union of the two sets. {, 0,, 9} {,, } ) List all the irrational numbers numbers from the given set B that are members of the given real number subset. B = {9, 8, -9, 0,,, 0., 0.77} ) Rationalize the denominator. 9-7 ) Rationalize the denominator ) Evaluate the epression for the given values of and. + ; = and = - ) State the name of the propert illustrated. ( ) = ( ) 7) Evaluate the eponential epression. 7 8) Evaluate the eponential epression. (-)- 9) Simplif the eponential epression. 9-9 z- ) Add or subtract terms whenever possible ) Add or subtract terms whenever possible ) Simplif b reducing the inde of the radical. 8) Simplif b reducing the inde of the radical. 9 z 9) Perform the indicated operations. Write the resulting polnomial in standard form. ( ) - ( ) 0) Find the product. ( + )( )

2 ) Find the product. (9 - )( - + ) ) Find the product. ( + )( - ) ) Find the product. ( + ) ) Simplif the rational epression. Find all numbers that must be ecluded from the domain of the simplified rational epression ) Multipl or divide as indicated. ( - 7) - ) Factor. - ) Factor. ( - ) - ( - ) ) Factor ) Factor the trinomial, or state that the trinomial is prime. - + ) Multipl or divide as indicated ) Multipl or divide as indicated ) Multipl or divide as indicated ) Factor completel, or state that the polnomial is prime ) Add or subtract as indicated ) Factor completel, or state that the polnomial is prime. + 9) Add or subtract as indicated ) Factor using the formula for the sum or difference of two cubes ) Add or subtract as indicated ) Factor using the formula for the sum or difference of two cubes. 8 - ) Find all numbers that must be ecluded from the domain of the rational epression ) Simplif the comple rational epression. - +

3 ) Simplif the comple rational epression ) Solve the absolute value equation or indicate that the equation has no solution. - = 8 ) Solve the absolute value equation or indicate that the equation has no solution. - - = 8 ) Solve the formula for the specified variable. a + b = for c c ) Solve the formula for the specified variable. A = h(b + b) for b 7) Solve the equation. + = ) Epress the interval in set-builder notation and graph the interval on a number line. [-, ] ) Use graphs to find the set. (-8, 0) [-, 0] ) Use graphs to find the set. (, ) [8, ) ) Solve the quadratic equation using the quadratic formula. = -8 - ) Evaluate the function at the given value of the independent variable and simplif. f() = + - ; f(-) 7) Use the graph to determine the - and -intercepts. 0 8) Solve the absolute value inequalit. Use interval notation to epress the solution set and graph the solution set on a number line. - - < ) Solve the quadratic equation using the quadratic formula = ) Solve the compound inequalit. Use interval notation to epress the solution set and graph the solution set on a number line < -8 ) Epress the interval in set-builder notation and graph the interval on a number line. [7, ) 8) Give the domain and range of the relation. {(-, ), (-, ), (0, ), (, ), (, 0)} 9) Determine whether the relation is a function. {(, -9), (, -8), (, -), (9, 8), (, 9)} 0) Determine whether the relation is a function. {(-7, -), (-, -), (, -), (, -7)}

4 ) Determine whether the equation defines as a function of. = ) Find the slope of the line that goes through the given points. (-, 9), (-, 8) ) Determine whether the equation defines as a function of. + 7 = 7) Find the slope of the line that goes through the given points. (, ) and (, ) ) Graph the given functions on the same rectangular coordinate sstem. Describe how the graph of g is related to the graph of f. f() =, g() = - 8) Find the slope of the line that goes through the given points. (-8, -7), (, -7) ) Use the graph to find the indicated function value. = f(). Find f(-) 9) Use the given conditions to write an equation for the line in point-slope form. Passing through (-, -) and (-7, -) ) Use the given conditions to write an equation for the line in point-slope form. Passing through (, -7) with -intercept = - 7) Determine the slope and the -intercept of the graph of the equation = 0 7) Use the given conditions to write an equation for the line in slope-intercept form. Slope = 7, passing through (, ) 8 ) Use the graph to determine the function's domain and range. 7) Use the vertical line test to determine whether or not the graph is a graph in which is a function of

5 7) Use the given conditions to write an equation for the line in the indicated form. Passing through (, ) and perpendicular to the line whose equation is = + 7; slope-intercept form 7) Given functions f and g, determine the domain of f + g. f() = -, g() = + 9 7) Find an equation for the line with the given properties. The solid line L contains the point (, ) and is perpendicular to the dotted line whose equation is =. Give the equation of line L in slope-intercept form. 80) Given functions f and g, perform the indicated operations. f() = +, g() = - Find fg. 8) Given functions f and g, perform the indicated operations. f() = - 8, g() = Find f + g. 8) Given functions f and g, determine the domain of f + g. f() = -, g() = - 8) Find the domain of the indicated combined function. f Find the domain of g () when f() = 8 - and g() = ) For the given functions f and g, find the indicated composition. f() = + +, g() = - (g f)() - 77) Use the given conditions to write an equation for the line in the indicated form. Passing through (, ) and parallel to the line whose equation is = ; slope-intercept form 78) Begin b graphing the standard absolute value function f() =. Then use transformations of this graph to graph the given function. h() = - 79) Begin b graphing the standard quadratic function f() =. Then use transformations of this graph to graph the given function. h() = -( + ) + 8) Find the domain of the function. g() = - 8) Find the domain of the function. f() = 9-87) For the given functions f and g, find the indicated composition. f() = - +, g() = + (g f)() 88) Find the domain of the composite function f g. f() = + 7, g() = + 89) Find the domain of the composite function f g. f() = ; g() = +

6 90) Find functions f and g so that h() = (f g)(). h() = + 0 9) Find functions f and g so that h() = (f g)(). h() = - 9) Determine which two functions are inverses of each other. f() = - g() = - h() = + 9) Determine which two functions are inverses of each other. f() = + g() = + h() = - 9) Find the inverse of the one-to-one function. f() = 8-9) Add or subtract as indicated and write the result in standard form. - ( + 9i) - ( - 7i) 00) Perform the indicated operations and write the result in standard form ) Perform the indicated operations and write the result in standard form. -( - -) 0) Solve the quadratic equation using the quadratic formula. Epress the solution in standard form. - + = 0 0) Determine whether the given quadratic function has a minimum value or maimum value. Then find the coordinates of the minimum or maimum point. f() = - + 0) Determine whether the given quadratic function has a minimum value or maimum value. Then find the coordinates of the minimum or maimum point. f() = - + 9) Find the product and write the result in standard form. ( + i)( - i) 0) Use the verte and intercepts to sketch the graph of the quadratic function. + = ( + ) 97) Perform the indicated operations and write the result in standard form. ( + i) - ( - i) 98) Divide and epress the result in standard form. i - i 99) Perform the indicated operations and write the result in standard form ) Find the zeros of the polnomial function. f() = ) Divide using long division. ( ) (- + ) 08) Divide using snthetic division. ( ) ( + ) 09) Divide using snthetic division

7 0) Graph the function b making a table of coordinates. f() = 0. ) Approimate the number using a calculator. Round our answer to three decimal places. e-0. ) Find the accumulated value of an investment of \$,000 at % compounded semiannuall for ears. 0) Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions without using a calculator. log 9 - ) Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions without using a calculator. log b + 8log b z ) Suppose that ou have \$0,000 to invest. Which investment ields the greater return over 7 ears: 8.7% compounded continuousl or 8.9% compounded semiannuall? ) Use the graph of f() = e to obtain the graph of g() = e -. ) Write the equation in its equivalent logarithmic form. = ) Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions without using a calculator. log b m - log b n ) Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions without using a calculator. log 0,000 ) Write the equation in its equivalent eponential form. log = 7) Evaluate the epression without using a calculator. log 7 7 8) Evaluate the epression without using a calculator. log 9) Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions without using a calculator. log + 7

8 Answer Ke Testname: PRACTICE FINAL EXAM INTRO TO CALCULUS FALL ) ID: PCALCZ Objective: (0.) Evaluate Algebraic Epressions ) - 8 ID: PCALCZ Objective: (0.) Evaluate Algebraic Epressions ) {,, 9, 0, } ID: PCALCZ Objective: (0.) Find the Union of Two Sets ) 8 ID: PCALCZ Objective: (0.) Recognize Subsets of the Real Numbers ) 0 ID: PCALCZ Objective: (0.) Evaluate Absolute Value ) Commutative propert of multiplication ID: PCALCZ Objective: (0.) Identif Properties of the Real Numbers 7) ID: PCALCZ Objective: (0.) Use Properties of Eponents 8) ID: PCALCZ Objective: (0.) Use Properties of Eponents 9) 9z 9 0) ID: PCALCZ Objective: (0.) Simplif Eponential Epressions 79 ID: PCALCZ Objective: (0.) Simplif Eponential Epressions ) - ID: PCALCZ Objective: (0.) Add and Subtract Square Roots ) - ID: PCALCZ Objective: (0.) Add and Subtract Square Roots ) ID: PCALCZ Objective: (0.) Rationalize Denominators ) 0-7 ID: PCALCZ Objective: (0.) Rationalize Denominators ) 8 7 ID: PCALCZ Objective: (0.) Evaluate and Perform Operations with ) - 7 ID: PCALCZ Objective: (0.) Evaluate and Perform Operations with 7) ID: PCALCZ Objective: (0.) Understand and Use Rational Eponents 8) /7z/7 ID: PCALCZ Objective: (0.) Understand and Use Rational Eponents 9) ID: PCALCZ Objective: (0.) Add and Subtract Polnomials 0) ID: PCALCZ Objective: (0.) Multipl Polnomials ) ID: PCALCZ Objective: (0.) Multipl Polnomials ) - ID: PCALCZ Objective: (0.) Use Special Products in Polnomial ) ID: PCALCZ Objective: (0.) Use Special Products in Polnomial ) ( + )( - ) ID: PCALCZ Objective: (0.) Factor the Difference of Squares ) ( - )( - ) ID: PCALCZ Objective: (0.) Factor Out the Greatest Common Factor of ) ( - )( + 8) ID: PCALCZ Objective: (0.) Factor b Grouping 7) ( - )( - ) ID: PCALCZ Objective: (0.) Factor Trinomials 8) ( - )( + )( - ) ID: PCALCZ Objective: (0.) Use a General Strateg for Factoring 9) ( + )( - + ) ID: PCALCZ Objective: (0.) Use a General Strateg for Factoring 8

9 Answer Ke Testname: PRACTICE FINAL EXAM INTRO TO CALCULUS FALL 0) ( + )(9 - + ) ID: PCALCZ Objective: (0.) Factor the Sum and Difference of Two ) ( - )( + + ) ID: PCALCZ Objective: (0.) Factor the Sum and Difference of Two ), ID: PCALCZ Objective: (0.) Specif Numbers That Must Be Ecluded ) +, -, - ID: PCALCZ Objective: (0.) Simplif Rational Epressions ) - 7 ID: PCALCZ Objective: (0.) Divide Rational Epressions ) ID: PCALCZ Objective: (0.) Divide Rational Epressions ) 8 7 ID: PCALCZ Objective: (0.) Multipl Rational Epressions 7) ) ID: PCALCZ Objective: (0.) Multipl Rational Epressions - - ( + )( - ) ID: PCALCZ Objective: (0.) Add and Subtract Rational Epressions 9) - - 0) - ) ID: PCALCZ Objective: (0.) Add and Subtract Rational Epressions - 8 ID: PCALCZ Objective: (0.) Add and Subtract Rational Epressions - + ID: PCALCZ Objective: (0.) Simplif Comple Rational Epressions ) 9 ID: PCALCZ Objective: (0.) Simplif Comple Rational Epressions ) {9, -} ID: PCALCZ Objective: (0.7) Solve Equations Involving Absolute Value ) {-,, } ID: PCALCZ Objective: (0.7) Solve Equations Involving Absolute Value ) c = ab a + b ID: PCALCZ Objective: (0.7) Solve a Formula for a Variable A - Bh ) b = h ID: PCALCZ Objective: (0.7) Solve a Formula for a Variable 7) {} ID: PCALCZ Objective: (0.7) Solve Rational Equations with Variables in 8) 9) ID: PCALCZ Objective: (0.9) Solve Absolute Value Inequalities , ID: PCALCZ Objective: (0.7) Solve Quadratic Equations Using the 0) (, ] ID: PCALCZ Objective: (0.9) Solve Compound Inequalities ) { 7} ID: PCALCZ Objective: (0.9) Use Interval Notation ) { - } ID: PCALCZ Objective: (0.9) Use Interval Notation ) [-, 0) ID: PCALCZ Objective: (0.9) Find Intersections and Unions of Intervals 9

10 Answer Ke Testname: PRACTICE FINAL EXAM INTRO TO CALCULUS FALL ) (, ) ID: PCALCZ Objective: (0.9) Find Intersections and Unions of Intervals ) - -, - + ID: PCALCZ Objective: (0.7) Solve Quadratic Equations Using the ) - ID: PCALCZ..-7+ Objective: (.) Evaluate a Function 7) -intercepts: -,, ; -intercept: ID: PCALCZ..-+ Objective: (.) Use a Graph to Determine Intercepts 8) domain: {-, -, 0,, }; range: {,,, 0} ID: PCALCZ..-7+ Objective: (.) Find the Domain and Range of a Relation 9) Not a function ID: PCALCZ..-+ Objective: (.) Determine Whether a Relation is a 0) Function ID: PCALCZ..-7+ Objective: (.) Determine Whether a Relation is a ) is not a function of ID: PCALCZ..-7+ Objective: (.) Determine Whether an Equation ) is a function of ID: PCALCZ..-+ Objective: (.) Determine Whether an Equation ) g shifts the graph of f verticall down units ID: PCALCZ..-+ Objective: (.) Graph Functions b Plotting Points ) ID: PCALCZ..7-+ Objective: (.) Obtain Information About a Function from 0 ) domain: [0, ) range: [-, ) ID: PCALCZ..8-+ Objective: (.) Identif the Domain and Range of a ) Undefined ID: PCALCZ..-+ Objective: (.) Calculate a Line's Slope 7) Undefined ID: PCALCZ..-8+ Objective: (.) Calculate a Line's Slope 8) 0 ID: PCALCZ..-+ Objective: (.) Calculate a Line's Slope 9) + = - ( + ) or + = - ( + 7) ID: PCALCZ..-+ Objective: (.) Write the Point-Slope Form of the 70) + 7 = ( - ) or = - 7 ( + ) 8 ID: PCALCZ..-+ Objective: (.) Write the Point-Slope Form of the 7) m = ; (0, 7) ID: PCALCZ..-+ Objective: (.) Recognize and Use the General Form of a 7) = ID: PCALCZ..-+ Objective: (.) Write and Graph the Slope-Intercept Form 7) function ID: PCALCZ..-8+ Objective: (.) Use the Vertical Line Test to Identif 7) = ID: PCALCZ..-7+ Objective: (.) Find Slopes and Equations of Parallel and 7) (-, -9) (-9, ) (, ) ID: PCALCZ Objective: (.7) Combine Functions Using the Algebra of 7) = ID: PCALCZ..-+ Objective: (.) Find Slopes and Equations of Parallel and 77) = ID: PCALCZ..-8+ Objective: (.) Find Slopes and Equations of Parallel and

11 Answer Ke Testname: PRACTICE FINAL EXAM INTRO TO CALCULUS FALL 78) ID: PCALCZ..-+ Objective: (.) Use Vertical Stretching and Shrinking to 79) ID: PCALCZ..7-+ Objective: (.) Graph Functions Involving a Sequence of 80) ID: PCALCZ.7.-+ Objective: (.7) Combine Functions Using the Algebra of 8) -0 + ID: PCALCZ.7.-+ Objective: (.7) Combine Functions Using the Algebra of 8) (-, ) (, ) ID: PCALCZ Objective: (.7) Combine Functions Using the Algebra of 8) Domain: -, - -, + +, ID: PCALCZ.7.-+ Objective: (.7) Combine Functions Using the Algebra of 8) ID: PCALCZ Objective: (.7) Form Composite Functions 8) (-, -) (-, ) (, ) ID: PCALCZ.7.-+ Objective: (.7) Find the Domain of a Function 8) (-, 9] ID: PCALCZ.7.-+ Objective: (.7) Find the Domain of a Function 87) - + ID: PCALCZ.7.-+ Objective: (.7) Form Composite Functions 88) (-, -) (-, ) ID: PCALCZ.7.-+ Objective: (.7) Determine Domains for Composite 89) [-, ) ID: PCALCZ.7.-+ Objective: (.7) Determine Domains for Composite 90) f() =, g() = + 0 ID: PCALCZ.7.-+ Objective: (.7) Write Functions as Compositions 9) f() = /, g() = - ID: PCALCZ.7.-+ Objective: (.7) Write Functions as Compositions 9) g() and h() ID: PCALCZ.8.-+ Objective: (.8) Verif Inverse Functions 9) None ID: PCALCZ.8.-+ Objective: (.8) Verif Inverse Functions 9) f-() = ID: PCALCZ.8.-+ Objective: (.8) Find the Inverse of a Function 9) - - i ID: PCALCZ..-+ Objective: (.) Add and Subtract Comple Numbers 9) ID: PCALCZ..-+ Objective: (.) Multipl Comple Numbers 97) - + i ID: PCALCZ..-0+ Objective: (.) Multipl Comple Numbers 98) i ID: PCALCZ..-+ Objective: (.) Divide Comple Numbers 99) 9i ID: PCALCZ..-+ Objective: (.) Perform Operations with Square Roots of 00) - + i 7 ID: PCALCZ..-9+ Objective: (.) Perform Operations with Square Roots of 0) + i ID: PCALCZ..-+ Objective: (.) Perform Operations with Square Roots of

12 Answer Ke Testname: PRACTICE FINAL EXAM INTRO TO CALCULUS FALL 0) ± i 9 ID: PCALCZ..-+ Objective: (.) Solve Quadratic Equations with Comple 0) maimum;, 9 ID: PCALCZ..-+ Objective: (.) Determine a Quadratic Function's 0) minimum;, 0) ID: PCALCZ..-+ Objective: (.) Determine a Quadratic Function's 0) ID: PCALCZ..-+ Objective: (.) Graph Parabolas 0) = 0, = -, = ID: PCALCZ..-+ Objective: (.) Use Factoring to Find Zeros of Polnomial 07) - ID: PCALCZ..-+ Objective: (.) Use Long Division to Divide Polnomials 08) ID: PCALCZ..-9+ Objective: (.) Use Snthetic Division to Divide 09) ID: PCALCZ..-+ Objective: (.) Use Snthetic Division to Divide - - ID: PCALCZ..-+ Objective: (.) Graph Eponential Functions ) 0.9 ID: PCALCZ..-+ Objective: (.) Evaluate Functions with Base e ) \$8,9. ID: PCALCZ..-+ Objective: (.) Use Compound Interest Formulas ) \$0,000 invested at 8.7% compounded continuousl over 7 ears ields the greater return. ID: PCALCZ..-7+ Objective: (.) Use Compound Interest Formulas ) ID: PCALCZ..-+ Objective: (.) Graph Eponential Functions ) log = ID: PCALCZ..-+ Objective: (.) Change From Eponential to Logarithmic ) = ID: PCALCZ..-+ Objective: (.) Change from Logarithmic to Eponential

13 Answer Ke Testname: PRACTICE FINAL EXAM INTRO TO CALCULUS FALL 7) ID: PCALCZ..-+ Objective: (.) Evaluate Logarithms 8) - ID: PCALCZ..-8+ Objective: (.) Evaluate Logarithms 9) log ( + ) - log ID: PCALCZ..-+ Objective: (.) Epand Logarithmic Epressions 0) - log ( - ) ID: PCALCZ..-9+ Objective: (.) Epand Logarithmic Epressions ) log b z8 ID: PCALCZ..-+ Objective: (.) Condense Logarithmic Epressions m ) log b n ID: PCALCZ..-+ Objective: (.) Condense Logarithmic Epressions ) log - ID: PCALCZ..-+ Objective: (.) Use the Quotient Rule

Test # 33 QUESTIONS MATH131 091700 COLLEGE ALGEBRA Name atfm131bli www.alvarezmathhelp.com website MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

### MATH 0312 FINAL EXAM REVIEW ITEMS

MATH 012 FINAL EXAM REVIEW ITEMS Name The items on this review are representative of the items that ou might see on our course final eam. No formul sheets are allowed and calculators are not allowed on

### review math0410 (1-174) and math 0320 ( ) aafinm mg

Eam Name review math04 (1-174) and math 0320 (17-243) 03201700aafinm0424300 mg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif. 1) 7 2-3 A)

### FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name 1) Find the SUM of the solutions of the equation. 82 + 0 = 16 Use the quadratic formula to solve the equation. (All solutions are real numbers.)

Test #4 33 QUESTIONS MATH1314 09281700 COLLEGE ALGEBRA Name atfm1314bli28 www.alvarezmathhelp.com website SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Final Eam Review MAC 1 Spring 0 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) {-

### Learning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1

College of Charleston Department of Mathematics Math 0: College Algebra Final Eam Review Problems Learning Goals (AL-) Arithmetic of Real and Comple Numbers: I can classif numbers as natural, integer,

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Final Eam Review MAC 1 Fall 011 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) A)

### math FALL developmental mathematics sullivan 1e

TSIpractice eam review 1 131 180 plus 34 TSI questions for elementar and intermediate algebra m0300004301 aaa Name www.alvarezmathhelp.com math0300004301 FALL 01 100 interactmath developmental mathematics

### 25) x x + 30 x2 + 15x ) x Graph the equation. 30) y = - x - 1

Pre-AP Algebra Final Eam Review Solve. ) A stone is dropped from a tower that is feet high. The formula h = - t describes the stoneʹs height above the ground, h, in feet, t seconds after it was dropped.

Eam Name algebra final eam review147 aam032020181t4highschool www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation.

### review for math TSI 55 practice aafm m

Eam TSI Name review for math TSI practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the

### AP Calculus AB Summer Assignment Mrs. Berkson

AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the

### review for math TSI 182 practice aafm m

Eam TSI 182 Name review for math TSI 182 practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif.

### AP Calculus AB Summer Assignment Mrs. Berkson

AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the

### 9) A) f-1(x) = 8 - x B) f-1(x) = x - 8 C)f-1(x) = x + 8 D) f-1(x) = x 8

Review for Final Eam Name Algebra- Trigonometr MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polnomial completel. If a polnomial cannot

### (2.5) 1. Solve the following compound inequality and graph the solution set.

Intermediate Algebra Practice Final Math 0 (7 th ed.) (Ch. -) (.5). Solve the following compound inequalit and graph the solution set. 0 and and > or or (.7). Solve the following absolute value inequalities.

### Use the slope-intercept form to graph the equation. 8) 6x + y = 0

03 Review Solve the inequalit. Graph the solution set and write it in interval notation. 1) -2(4-9) < - + 2 Use the slope-intercept form to graph the equation. 8) 6 + = 0 Objective: (2.8) Solve Linear

### math0320 FALL interactmath sections developmental mathematics sullivan 1e

Eam final eam review 180 plus 234 TSI questions for intermediate algebra m032000 013014 NEW Name www.alvarezmathhelp.com math0320 FALL 201 1400 interactmath sections developmental mathematics sullivan

### MATH 60 Review Problems for Final Exam

MATH 60 Review Problems for Final Eam Scientific Calculators Onl - Graphing Calculators Not Allowed NO CLASS NOTES PERMITTED Evaluate the epression for the given values. m 1) m + 3 for m = 3 2) m 2 - n2

### Algebra 2 Semester Exam Review

Algebra Semester Eam Review 7 Graph the numbers,,,, and 0 on a number line Identif the propert shown rs rs r when r and s Evaluate What is the value of k k when k? Simplif the epression 7 7 Solve the equation

### Intermediate Algebra 100A Final Exam Review Fall 2007

1 Basic Concepts 1. Sets and Other Basic Concepts Words/Concepts to Know: roster form, set builder notation, union, intersection, real numbers, natural numbers, whole numbers, integers, rational numbers,

### Name Please print your name as it appears on the class roster.

Berkele Cit College Practice Problems Math 1 Precalculus - Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes

### C)not a function. B) function domain: {-3, 2, 4, 6} range: {-7, 4, 2, -1}

Name Spring Semester Final Review (Dual) Precalculus MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the relation represents a function.

### PreCalculus. Ocean Township High School Mathematics Department

PreCalculus Summer Assignment Name Period Date Ocean Township High School Mathematics Department These are important topics from previous courses that ou must be comfortable doing before ou can be successful

### Mock Final Exam Name. Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) A) {- 30} B) {- 6} C) {30} D) {- 28}

Mock Final Exam Name Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) 1) A) {- 30} B) {- 6} C) {30} D) {- 28} First, write the value(s) that make the denominator(s) zero. Then solve the

### MIDTERM REVIEW. Write an algebraic expression to represent the following verbal expressions. 1) Double the difference of a number and 7.

NAME MIDTERM REVIEW DATE Write an algebraic epression to represent the following verbal epressions. 1) Double the difference of a number and 7. ) Find the value of the epression 0. Solve each equation.

### Glossary. Also available at BigIdeasMath.com: multi-language glossary vocabulary flash cards. An equation that contains an absolute value expression

Glossar This student friendl glossar is designed to be a reference for ke vocabular, properties, and mathematical terms. Several of the entries include a short eample to aid our understanding of important

### C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x - (6x + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution

Sample Departmental Final - Math 46 Perform the indicated operation. Simplif if possible. 1) 7 - - 2-2 + 3 2 - A) + - 2 B) - + 4-2 C) + 4-2 D) - + - 2 Solve the problem. 2) The sum of a number and its

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Math 2 Stud Guide-Chapters 8 and 9 Name Date: Time: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all square roots of the number. ) 600 9,

### Math098 Practice Final Test

Math098 Practice Final Test Find an equation of the line that contains the points listed in the table. 1) 0-6 1-2 -4 3-3 4-2 Find an equation of the line. 2) 10-10 - 10 - -10 Solve. 3) 2 = 3 + 4 Find the

### SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Math 1 Final Eam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) - - 6 = - + 7 1) ) 6 + 7(- - ) = -8 - ) ) - t + t = 6 t + 1 ) Solve

### Self- assessment 1010 (Intermediate Algebra)

Self- assessment (Intermediate Algebra) If ou can work these problems using a scientific calculator, ou should have sufficient knowledge to demonstrate master of Intermediate Algebra and to succeed in

### College Algebra Final, 7/2/10

NAME College Algebra Final, 7//10 1. Factor the polnomial p() = 3 5 13 4 + 13 3 + 9 16 + 4 completel, then sketch a graph of it. Make sure to plot the - and -intercepts. (10 points) Solution: B the rational

### 3.1 Graphing Quadratic Functions. Quadratic functions are of the form.

3.1 Graphing Quadratic Functions A. Quadratic Functions Completing the Square Quadratic functions are of the form. 3. It is easiest to graph quadratic functions when the are in the form using transformations.

### Math Intermediate Algebra

Math 095 - Intermediate Algebra Final Eam Review Objective 1: Determine whether a relation is a function. Given a graphical, tabular, or algebraic representation for a function, evaluate the function and

### Final Exam C Name i D) 2. Solve the equation by factoring. 4) x2 = x + 72 A) {1, 72} B) {-8, 9} C) {-8, -9} D) {8, 9} 9 ± i

Final Exam C Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 7 ) x + + 3 x - = 6 (x + )(x - ) ) A) No restrictions; {} B) x -, ; C) x -; {} D) x -, ; {2} Add

### Final Exam A Name. 20 i C) Solve the equation by factoring. 4) x2 = x + 30 A) {-5, 6} B) {5, 6} C) {1, 30} D) {-5, -6} -9 ± i 3 14

Final Exam A Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 1 1) x + 3 + 5 x - 3 = 30 (x + 3)(x - 3) 1) A) x -3, 3; B) x -3, 3; {4} C) No restrictions; {3} D)

### Lesson 7.1 Polynomial Degree and Finite Differences

Lesson 7.1 Polnomial Degree and Finite Differences 1. Identif the degree of each polnomial. a. 1 b. 0. 1. 3. 3 c. 0 16 0. Determine which of the epressions are polnomials. For each polnomial, state its

### First Semester Final Review NON-Graphing Calculator

Algebra First Semester Final Review NON-Graphing Calculator Name:. 1. Find the slope of the line passing through the points ( 5, ) and ( 3, 7).. Find the slope-intercept equation of the line passing through

### Algebra 2 Honors Summer Packet 2018

Algebra Honors Summer Packet 018 Solving Linear Equations with Fractional Coefficients For these problems, ou should be able to: A) determine the LCD when given two or more fractions B) solve a linear

### Algebra 2 CPA Summer Assignment 2018

Algebra CPA Summer Assignment 018 This assignment is designed for ou to practice topics learned in Algebra 1 that will be relevant in the Algebra CPA curriculum. This review is especiall important as ou

### MATH 115: Final Exam Review. Can you find the distance between two points and the midpoint of a line segment? (1.1)

MATH : Final Eam Review Can ou find the distance between two points and the midpoint of a line segment? (.) () Consider the points A (,) and ( 6, ) B. (a) Find the distance between A and B. (b) Find the

### Honors Pre-Calculus. Multiple Choice 1. An expression is given. Evaluate it at the given value

Honors Pre-Calculus Multiple Choice. An epression is given. Evaluate it at the given value, (A) (B) 9 (C) 9 (D) (E). Simplif the epression. (A) + (B) (C) (D) (E) 7. Simplif the epression. (A) (B) (C) (D)

### ALGEBRA 1 CP FINAL EXAM REVIEW

ALGEBRA CP FINAL EXAM REVIEW Alg CP Sem Eam Review 0 () Page of 8 Chapter 8: Eponents. Write in rational eponent notation. 7. Write in radical notation. Simplif the epression.. 00.. 6 6. 7 7. 6 6 8. 8

### Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1

Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () 1 1 1 1 f. 1 g. h. 1 11 i. 9. Solve the following equations for the given variable: 1 Solve for. D ab

### Math 154 :: Elementary Algebra

Math :: Elementar Algebra Section. Section. Section. Section. Section. Section. Math :: Elementar Algebra Section. Eponents. When multipling like-bases, ou can add the eponents to simplif the epression..

### SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Practice for the Final Eam MAC 1 Sullivan Version 1 (2007) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the distance d(p1, P2) between the points

### MATH Spring 2010 Topics per Section

MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line

### HCC-SE MATH DEPT. 1 Revised Fall 2008

FINAL EXAM REVIEW ITEMS Math : College Algebra Find the -intercepts and an -intercepts. ) f() = + 7-0 ) = Name ) Select the equation that describes the graph. Solve the equation and epress the solution

### Algebra II Notes Unit Five: Quadratic Functions. Syllabus Objectives: 5.1 The student will graph quadratic functions with and without technology.

Sllabus Objectives:.1 The student will graph quadratic functions with and without technolog. Quadratic Function: a function that can be written in the form are real numbers Parabola: the U-shaped graph

### MTH 112 Practice Test 3 Sections 3.3, 3.4, 3.5, 1.9, 7.4, 7.5, 8.1, 8.2

MTH 112 Practice Test 3 Sections 3.3, 3., 3., 1.9, 7., 7., 8.1, 8.2 Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions

### Unit 2 Notes Packet on Quadratic Functions and Factoring

Name: Period: Unit Notes Packet on Quadratic Functions and Factoring Notes #: Graphing quadratic equations in standard form, verte form, and intercept form. A. Intro to Graphs of Quadratic Equations: a

### 1. Simplify each expression and write all answers without negative exponents. for variable L.

MATH 0: PRACTICE FINAL Spring, 007 Chapter # :. Simplif each epression and write all answers without negative eponents. ( ab ) Ans. b 9 7a 6 Ans.. Solve each equation. 5( ) = 5 5 Ans. man solutions + 7

### Algebra II Practice Semester Exam Specification Sheet

Algebra II Practice Semester Exam Specification Sheet 1. Properties of real numbers. Procedure (write procedure or process) 3. Concept development/linkage. Theorem/factual knowledge (of theorems and rules)

### Math RE - Calculus I Functions Page 1 of 10. Topics of Functions used in Calculus

Math 0-03-RE - Calculus I Functions Page of 0 Definition of a function f() : Topics of Functions used in Calculus A function = f() is a relation between variables and such that for ever value onl one value.

### ALVAREZ--VIDEO 14 ALVAREZ--VIDEO 15 ALVAREZ--VIDEO 16 ALVAREZ--VIDEO 17 ALVAREZ--VIDEO 18

PRETEST EXAM REVIEW 0 QUESTIONS 0-11-1 MATH00 Fall 01 ELEMENTARY ALGEBRA Name atfm00mk8es www.alvarezmathhelp.com website PROGRAMS ALVAREZLAB (SAVE AND EXTRACT TO YOUR COMPUTER) VIDEOS (ON DEMAND) INTERACTMATH

### Pre-Calculus B Semester 1 Review Packet December 2015

Pre-Calculus B Semester Review Packet December 05 Name DISCLAIMER The memor on all calculators will be cleared the da of the final. If ou have programs on our calculator that ou would like to keep, please

### TO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet.

MATH TEST 4 REVIEW TO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet. PART NON-CALCULATOR DIRECTIONS: The problems

### Instructor: Imelda Valencia Course: A3 Honors Pre Calculus

Student: Date: Instructor: Imelda Valencia Course: A3 Honors Pre Calculus 01 017 Assignment: Summer Homework for those who will be taking FOCA 017 01 onl available until Sept. 15 1. Write the epression

### 2.1 Evaluate and Graph Polynomial

2. Evaluate and Graph Polnomial Functions Georgia Performance Standard(s) MM3Ab, MM3Ac, MM3Ad Your Notes Goal p Evaluate and graph polnomial functions. VOCABULARY Polnomial Polnomial function Degree of

### a [A] +Algebra 2/Trig Final Exam Review Fall Semester x [E] None of these [C] 512 [A] [B] 1) Simplify: [D] x z [E] None of these 2) Simplify: [A]

) Simplif: z z z 6 6 z 6 z 6 ) Simplif: 9 9 0 ) Simplif: a a a 0 a a ) Simplif: 0 0 ) Simplif: 9 9 6) Evaluate: / 6 6 6 ) Rationalize: ) Rationalize: 6 6 0 6 9) Which of the following are polnomials? None

### 4. exponential decay; 20% 9.1 Practice A found square root instead of cube root 16 =

9.. eponential deca; 0% 9. Practice A.. 7. 7.. 6. 9. 0 7.. 9. 0. found square root instead of cube root 6 = = = 9. = 7, 9. =,.. 7n 7n. 96. =, 97. =, 9. linear function: = + 0 99. quadratic function: =

### Are You Ready For Math Analysis?

This is a District-Wide Summer Assignment for students taking Math Analsis in September 014. The Math Analsis teachers in all UCVTS programs will be using this for evaluation in their classes. Are ou read

### Answers for the problems can be found at the end of this packet starting on Page 12.

MAC 0 Review for Final Eam The eam will consists of problems similar to the ones below. When preparing, focus on understanding and general procedures (when available) rather than specific question. Answers

### Pre-Calculus Summer Packet

Pre-Calculus Summer Packet Name ALLEN PARK HIGH SCHOOL Summer Assessment Pre-Calculus Summer Packet For Students Entering Pre-Calculus Summer 05 This summer packet is intended to be completed by the FIRST

### Diagnostic Tests Study Guide

California State Universit, Sacramento Department of Mathematics and Statistics Diagnostic Tests Stud Guide Descriptions Stud Guides Sample Tests & Answers Table of Contents: Introduction Elementar Algebra

### Are You Ready For Math Analysis?

Are You Read For Math Analsis? This is a District-Wide Summer Assignment for students taking Math Analsis in September 018. The Math Analsis teachers in all UCVTS programs will be using this for evaluation

### Course 15 Numbers and Their Properties

Course Numbers and Their Properties KEY Module: Objective: Rules for Eponents and Radicals To practice appling rules for eponents when the eponents are rational numbers Name: Date: Fill in the blanks.

### Harbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities

Algebra II Advanced and Graphing and Solving Linear Linear Absolute Value Relation vs. Standard Forms of Linear Slope Parallel & Perpendicular Lines Scatterplot & Linear Regression Graphing linear Absolute

### Algebra 1 Skills Needed for Success in Math

Algebra 1 Skills Needed for Success in Math A. Simplifing Polnomial Epressions Objectives: The student will be able to: Appl the appropriate arithmetic operations and algebraic properties needed to simplif

### COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Summer Review of Algebra. Designed for the Student Entering Accelerated/Honors Analysis

COUNCIL ROCK HIGH SCHOOL MATHEMATICS A Summer Review of Algebra Designed for the Student Entering Accelerated/Honors Analysis Please print this packet in its entirety to be completed for evaluation on

### 2 nd Semester Final Exam Review Block Date

Algebra 1B Name nd Semester Final Eam Review Block Date Calculator NOT Allowed Graph each function. Identif the verte and ais of smmetr. 1 (10-1) 1. (10-1). 3 (10-) 3. 4 7 (10-) 4. 3 6 4 (10-1) 5. Predict

### f(x) = 2x 2 + 2x - 4

4-1 Graphing Quadratic Functions What You ll Learn Scan the tet under the Now heading. List two things ou will learn about in the lesson. 1. Active Vocabular 2. New Vocabular Label each bo with the terms

### QUADRATIC FUNCTION REVIEW

Name: Date: QUADRATIC FUNCTION REVIEW Linear and eponential functions are used throughout mathematics and science due to their simplicit and applicabilit. Quadratic functions comprise another ver important

### 2 nd Semester Final Exam Review Block Date

Algebra 1B Name nd Semester Final Eam Review Block Date Calculator NOT Allowed Graph each function. 1 (10-1) 1. (10-1). (10-1) 3. (10-1) 4. 3 Graph each function. Identif the verte, ais of smmetr, and

### Performing well in calculus is impossible without a solid algebra foundation. Many calculus

Chapter Algebra Review Performing well in calculus is impossible without a solid algebra foundation. Many calculus problems that you encounter involve a calculus concept but then require many, many steps

### Ready To Go On? Skills Intervention 6-1 Polynomials

6A Read To Go On? Skills Intervention 6- Polnomials Find these vocabular words in Lesson 6- and the Multilingual Glossar. Vocabular monomial polnomial degree of a monomial degree of a polnomial leading

### Rational Numbers, Irrational Numbers, Whole Numbers, Integers, Natural Numbers

College Readiness Math Semester Eam Review Write the set using interval notation and graph the inequality on the number line. 1) { -6 < < 9} Use the order of operations to simplify the epression. 4 (8

### Mourning Sr. High. Pre-Calculus 2017 Summer Assignment. 2. Write the final answer on the line provided.

Mourning Sr. High Directions: 1. Show all of our work. Pre-Calculus 017 Summer Assignment. Write the final answer on the line provided. This assignment will be collected the first da of school. You will

### MATH 91 Final Study Package Name

MATH 91 Final Stud Package Name Solve the sstem b the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. 1) - = 1 1)

### Module 1: Whole Numbers Module 2: Fractions Module 3: Decimals and Percent Module 4: Real Numbers and Introduction to Algebra

Course Title: College Preparatory Mathematics I Prerequisite: Placement with a score below 20 on ACT, below 450 on SAT, or assessing into Basic Applied Mathematics or Basic Algebra using Accuplacer, ASSET

### is on the graph of y = f 1 (x).

Objective 2 Inverse Functions Illustrate the idea of inverse functions. f() = 2 + f() = Two one-to-one functions are inverses of each other if (f g)() = of g, and (g f)() = for all in the domain of f.

### Test # 2 Review Sections (2.4,2.5,2.6, & ch. 3) Math 1314 Name

Test # Review Sections (.,.,., & ch. 3) Math 131 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the equation of the line. 1) -intercept,

### Graphing Calculator Computations 2

Graphing Calculator Computations A) Write the graphing calculator notation and B) Evaluate each epression. 4 1) 15 43 8 e) 15 - -4 * 3^ + 8 ^ 4/ - 1) ) 5 ) 8 3 3) 3 4 1 8 3) 7 9 4) 1 3 5 4) 5) 5 5) 6)

### ZETA MATHS. Higher Mathematics Revision Checklist

ZETA MATHS Higher Mathematics Revision Checklist Contents: Epressions & Functions Page Logarithmic & Eponential Functions Addition Formulae. 3 Wave Function.... 4 Graphs of Functions. 5 Sets of Functions

### Contents. About the Author. Preface to the Instructor. xxi. Acknowledgments. xxiii. Preface to the Student

About the Author v Preface to the Instructor v Acknowledgments i Preface to the Student iii Chapter 0 The Real Numbers 1 0.1 The Real Line 2 Construction of the Real Line 2 Is Ever Real Number Rational?

### BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH 05 Review Sheet

BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH 05 Review Sheet Go to http://www.cun.edu/testing for more information on the CUNY Elementar Algebra

### CHAPTER 2 Polynomial and Rational Functions

CHAPTER Polnomial and Rational Functions Section. Quadratic Functions..................... 9 Section. Polnomial Functions of Higher Degree.......... Section. Real Zeros of Polnomial Functions............

### 3 Polynomial and Rational Functions

3 Polnomial and Rational Functions 3.1 Quadratic Functions and Models 3.2 Polnomial Functions and Their Graphs 3.3 Dividing Polnomials 3.4 Real Zeros of Polnomials 3.5 Comple Zeros and the Fundamental

### Vocabulary. Term Page Definition Clarifying Example degree of a monomial. degree of a polynomial. end behavior. leading coefficient.

CHAPTER 6 Vocabular The table contains important vocabular terms from Chapter 6. As ou work through the chapter, fill in the page number, definition, and a clarifing eample. Term Page Definition Clarifing

### Logarithms. Bacteria like Staph aureus are very common.

UNIT 10 Eponentials and Logarithms Bacteria like Staph aureus are ver common. Copright 009, K1 Inc. All rights reserved. This material ma not be reproduced in whole or in part, including illustrations,

### is on the graph of y = f 1 (x).

Objective 2 Inverse Functions Illustrate the idea of inverse functions. f() = 2 + f() = Two one-to-one functions are inverses of each other if (f g)() = of g, and (g f)() = for all in the domain of f.

### COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Note Guideline of Algebraic Concepts. Designed to assist students in A Summer Review of Algebra

COUNCIL ROCK HIGH SCHOOL MATHEMATICS A Note Guideline of Algebraic Concepts Designed to assist students in A Summer Review of Algebra [A teacher prepared compilation of the 7 Algebraic concepts deemed

### MATH STUDENT BOOK. 12th Grade Unit 2

MATH STUDENT BOOK 12th Grade Unit 2 Unit 2 FUNCTIONS MATH 1202 FUNCTIONS INTRODUCTION 3 1. LINEAR FUNCTIONS 5 GRAPHS OF LINEAR FUNCTIONS 5 EQUATIONS OF LINEAR FUNCTIONS 10 SELF TEST 1: LINEAR FUNCTIONS

### MAT 1033C -- Martin-Gay Intermediate Algebra Chapter 8 (8.1, 8.2, 8.5, 8.6) Practice for the Exam

MAT 33C -- Martin-Ga Intermediate Algebra Chapter 8 (8.1 8. 8. 8.6) Practice for the Eam Name Date Da/Time: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

### MATH College Algebra Review for Test 2

MATH 4 - College Algebra Review for Test Sections. and.. For f (x) = x + 4x + 5, give (a) the x-intercept(s), (b) the -intercept, (c) both coordinates of the vertex, and (d) the equation of the axis of

### APPLIED ALGEBRA II SEMESTER 1 EXAM ITEM SPECIFICATION SHEET & KEY

APPLIED ALGEBRA II SEMESTER 1 EXAM ITEM SPECIFICATION SHEET & KEY Constructed Response # Objective Sllabus Objective NV State Standard 1 Graph a polnomial function. 1.1.7.1 Analze graphs of polnomial functions