Name. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D.

Size: px
Start display at page:

Download "Name. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D."

Transcription

1 Name 1. Given the solution (, y), what is the value of y if x + y = 6? 7. The graph of y = x is shown below. 5 D. 6. What are the solutions to the equation x - x = 0? x = - or x = - x = - or x = 1 x = or x = -1 D. x = or x =. A soccer ball is kicked upward with an initial velocity of 5 meters per second. How high will the ball be after seconds? Use the formula h = -5t + rt where h is the height in meters, t is the elapsed time in seconds, and 5 is the initial upward velocity (r). Which graph represents y = x² +? -5 meters 10 meters 715 meters D. 0 meters. Which expression describes the area of the rectangle shown? x - x + 5 x² + x 15 x² x + D. none of the above 5. From problem # above which expression describes the perimeter of this rectangle? x² + x 15 x² x + D. none of the above 6. From the graph given, what is the slope of the line? D. D. 8. Which ordered pair is the solution to the system? x + y = 1 x y = 6 (, 6) (.5, ) (, 0) D. (, -)

2 9. What is the solution of the system graphed below? (5, -) (, -5) (, 5) D. (-5, ) 1. A rectangular field measures 5 yards wide by 1 yards long as shown. What is the distance, d, from one corner to the opposite corner? 5 d 1 8 yards 1 yards 11 yards D. 18 yards 10. A theater owner found that the higher the of a movie ticket, the fewer the number of customers who purchased tickets. Choose the graph that best illustrates the owner s findings. tickets 1. Solve for x. 5x + (x + ) 7 = 5(x + 5) x = x = -6 x = - D. x = 1. Simplify: (x + 1) + (x ) tickets tickets 10x 10 10x 6 x 8 D. 10x 8 Use the table below to answer questions 15 & 16. The table shows various rates and the respective times it takes a cyclist to cover a given distance of 50 miles. Rate(mph) Time(hours) 5 10 hours 10 5 hours 15 hours 0 min. 0 hours 0 min. 5 hours 0 1 hour 0 min. D. tickets 15. A cyclist rode 50 miles in hours and 0 minutes. How fast was she riding? 5 mph 0 mph 15 mph D. 5 mph 11. The equation y = x + is graphed below. If this graph is shifted down units, what will be the equation of the new graph? y = x + 7 y = x y = x 1 D. y = -x 16. If a cyclist rode the 50 miles in a time of hours, then the rate was between 5 10 miles 15 0 miles miles D. 0 5 miles 17. The Student Council Sidewalk Sale featured used compact discs on sale at discs for $6.50. What would it cost to purchase 15 compact discs? $1.00 $.50 $6.00 D. $9.00

3 18. Which equation below represents the line that contains the ordered pairs (1, ) and (, 5)? y = -x + 9 y = x + 9 y = x + 1 D. y = -x Which of the following functions best represents the graph? y = x 5 y = x + 5 y = x + D. y = x. Kate went on a road trip with her new car. The trip is graphed below. Distance M. 10 M. 11 M. Noon 1 P.M. P.M. Time What is the average rate of speed for her trip? 0 mph 60 mph 50 mph D. 6.5 mph 0. This graph represents a diver s distance from the surface of the water at a given time time (sec) Which of the following is the correct range? {0 < y < 110} {0 < y < 50} {0 < x < 110} D. {0 < x < 50} 1. Simplify the expression below. + 7x (-x + 1) x x x + 7 D. x The length of a rectangle is times its width. The perimeter of the rectangle is 88 centimeters. Which system of equations below will determine the length, l, and the width, w, of this rectangle? l = w + w = l l + w = 88 l + w = 88 l = w D. l = w l + w = 88 l + w = Which function includes all the ordered pairs in the table? x y y = x y = x 6 y = x D. y = -x + 10 Use graph if needed. Mitch and Matt are basketball teammates. They recently combined to score of the teams points, with Mitch scoring twice as many points as Matt. How many points did Mitch score? D. 8. For the equation y = 5x 1 which of the following statements is true? The coefficient is 1 and the constant is -5. The coefficient is 5 and the constant is -1. The coefficient is -1 and the constant is 5. D. The coefficient is 5x and the constant is At which point will the graph of y = x 9 cross the x-axis? (0, 9) (7, 0) (, 0) D. (0, -) 8. The area of a rectangular garden is described by the equation w(w + ) = 5 where w is the width of the garden in meters. What is the width of the garden? D. 8

4 9. What is the value of x in the following equation? 5x + (x ) + 0 = 0 x x 1 D. x 17 7 x 1 0. Which graph below shows Bill earning $1 per hour? 1. Find the x-intercept and the y-intercept for the following equation. x 6y = (, 0) and (0, -6) (8, 0) and (0, ) (6, 0) and (0, ) D. (8, 0) and (0, -). Sam was selling lemonade in front of his house on Saturday. The table below shows how much money he made in relationship to the number of drinks, n, he Number of drinks Total money earned $9.00 $1.50 $18.00 $.50 $7.00 Sam wanted to sell at least $0 worth of lemonade. Which inequality represents this situation?.5n 6 < 0 1.5n + 9 > 0.5n + 6 > 0 D. 1.5n > 0. Which inequality best represents the graph shown below? x < 1 x < 1 x > 1 D. x > 1. What is the x-intercept of the function x y = 1? 1 D. - Use graph if needed D. 5. Which inequality matches the graph below? y < x y > x y > x D. y < x

5 6. Approximately how far is the ladder from the base of the building? ft 16 ft 11 ft 15 ft 1 ft D. 0 ft. Zachary has 70 coins in dimes and quarters. The total value of the coins is $1.55. Which system below will determine the number of dimes, d, and the number of quarters, q, which Zachary has? d + q = d + 0.5q = 1.55 d - q = d + 0.5q = Solve for x: x 7 = -8 x = -1 x = 1 x = -15 D. x = A train travels 0 miles every minutes. How many miles will the train travel in 0 minutes? miles 5 miles 1 miles D. 6 miles y x 9. The ratio of is the.. rule slope equation D. constant d + q = d + 0.5q = 70 D. d + q = d + 0.5q = 70 Use the following situation to answer #5 and #6. A baseball is hit into the air and reaches a height in feet given by the equation ht ( ) 16 t t, where h(t) represents the height of the ball, and t represents time in seconds. 0. Which ordered pair below is the solution for the system? y = x 16 y = x 8 (, 0) (, 16) (0, ) D. (, -) 1. What equation best describes the table below? x - - y -1 0 y = x + 1 y 1 x 1 y 1 x 1 D. y = -x 1. Which expression best represents the area of a square with sides of x y? 8x 6 y 8x 9 y 16x 6 y D. 16x 9 y. Which equation below has a y-intercept of 7 and slope of? y x 7 y 7 x 7 y = 7x + D. y = x How long is the ball in the air? the ball never leaves the ground 8 seconds seconds D. 1 second 6. What is the maximum height that the ball reaches? 1 foot 16 feet feet D. 17 feet 7. Which system has a solution of (5, -)? y = -x + 6 y = x 5 y = x 9 y = -x + 5 y = 5x D. y = x 1 y = 5x y = -x Find the solution to the following system. x = y + 1 x + y = 6 (1, ) (, 1) (1, 1) D. (-1, )

6 9. Simplify the expression: xy 6 x 5 y 1x 6 y 7 7x 6 y 7 1x 5 y 6 D. 7x 5 y Which graph shows the solution to the following system? y = x + y = x Which equation of a line has a y-intercept of 5 and a slope of? 5 y = 5x + y x 5 y x D. y = x Solve: x 5 < x < -1 x < 6 x < D. x < 8 D. 5. Chris is looking for a summer job. In order to pay for his ski trip, he must earn more than $1500. Which inequality states this? x < 1500 x < 1500 x > 1500 D. x > Find the slope in the table below. x Process y x? 1-1 D Which equation below will have a graph that is parallel to the graph of y = -x + 6? 58. Multiply (x + )(x 1). 6x 8x + 10x + 8x + x D. 6x + 10x 59. Factor x 7x + 6. (x + )(x + ) (x + 6)(x + 1) (x )(x ) D. (x 1)(x 6) 60. What expression is represented by the following tiles? y = x 6 y = 6x y = -x 6 D. y = -6x Where does the graph of the equation y = -x + cross the y-axis? -x + x x + D. -x - D. it does not cross the y-axis 56. When Charles arrived at his aunt s house in Wisconsin there was 7 inches of snow on the ground. The next day the snow started falling at a rate of inches per hour. Which function represents the total amount of snow after x hours? y = x + 5 y = x + 7 y = x + 7 D. y = x +

1-1 Practice. Patterns and Expressions. Describe each pattern using words. Draw the next figure in each pattern.

1-1 Practice. Patterns and Expressions. Describe each pattern using words. Draw the next figure in each pattern. 1-1 Practice Patterns and Expressions Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output Input

More information

Name Class Date. Describe each pattern using words. Draw the next figure in each pattern Input Output

Name Class Date. Describe each pattern using words. Draw the next figure in each pattern Input Output 1-1 Practice Patterns and Expressions Form G Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output

More information

Unit 12: Systems of Equations

Unit 12: Systems of Equations Section 12.1: Systems of Linear Equations Section 12.2: The Substitution Method Section 12.3: The Addition (Elimination) Method Section 12.4: Applications KEY TERMS AND CONCEPTS Look for the following

More information

2.1 Simplifying Algebraic Expressions

2.1 Simplifying Algebraic Expressions .1 Simplifying Algebraic Expressions A term is a number or the product of a number and variables raised to powers. The numerical coefficient of a term is the numerical factor. The numerical coefficient

More information

Math Review for Incoming Geometry Honors Students

Math Review for Incoming Geometry Honors Students Solve each equation. 1. 5x + 8 = 3 + 2(3x 4) 2. 5(2n 3) = 7(3 n) Math Review for Incoming Geometry Honors Students 3. Victoria goes to the mall with $60. She purchases a skirt for $12 and perfume for $35.99.

More information

Algebra 1 End-of-Course Assessment Practice Test with Solutions

Algebra 1 End-of-Course Assessment Practice Test with Solutions Algebra 1 End-of-Course Assessment Practice Test with Solutions For Multiple Choice Items, circle the correct response. For Fill-in Response Items, write your answer in the box provided, placing one digit

More information

4-A5: Mid-Chapter 4 Review

4-A5: Mid-Chapter 4 Review -A: Mid-Chapter Review Alg H Write the equations for the horizontal and vertical lines that pass through the given point.. (, 0) Horiz. Vert.. (0, 8) Horiz. Vert. Use the slope formula to find the slope

More information

ALGEBRA 1 FINAL EXAM TOPICS

ALGEBRA 1 FINAL EXAM TOPICS ALGEBRA 1 FINAL EXAM TOPICS Chapter 2 2-1 Writing Equations 2-2 Solving One Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with the Variable on Each Side 2-5 Solving Equations Involving

More information

6, 9, 14, 21, 30,...

6, 9, 14, 21, 30,... MCAS PREP # 42006 Algebra Question 1: Multiple-Choice The first five terms in a quadratic sequence are shown below. 6, 9, 14, 21, 30,... What is the next term in the sequence? A. 39 B. 40 C. 41 D. 42 Question

More information

SY14-15 Algebra Exit Exam - PRACTICE Version

SY14-15 Algebra Exit Exam - PRACTICE Version Student Name: Directions: Solve each problem. You have a total of 90 minutes. Choose the best answer and fill in your answer document accordingly. For questions requiring a written response, write your

More information

Lines and Systems Review

Lines and Systems Review Lines and Systems Review SET 1 Question 1 Identify all points that are solutions to the system of equations represented by the graph: Question 2 Create a system of equations for each situation. Problem

More information

Algebra I End of Course Review

Algebra I End of Course Review Algebra I End of Course Review Properties and PEMDAS 1. Name the property shown: a + b + c = b + a + c (Unit 1) 1. Name the property shown: a(b) = b(a). Name the property shown: m + 0 = m. Name the property

More information

Semester 1 Final Review. c. 7 d.

Semester 1 Final Review. c. 7 d. Solve the equation in questions 1-4. 1. 7 x + 5 = 8 a. 7 b. 1 7 c. 7 d. 7. 7 = d + 0 a. 10 b. 0 c. 1 d. 1. p 1 = 5(p 1) (7 p) a. b. 0 c. 9 d. 10 4. 5x 5 = x 9 a. b. 1 c. 1 d. 5. A customer went to a garden

More information

The Top 11 Keystones of Algebra 1

The Top 11 Keystones of Algebra 1 The Top 11 Keystones of Algebra 1 The Top Eleven Keystones of Algebra 1 You should be able to 1) Simplify a radical expression. 2) Solve an equation. 3) Solve and graph an inequality on a number line.

More information

Algebra I STAAR Practice Test A

Algebra I STAAR Practice Test A Algebra I STAAR Practice Test A 1 What is the value of if (, ) is a solution to the equation 3 1 5 1? A C B 3 D 5 5 A plumber charges $5 for a service call and $15 per hour for repairs. She uses the graph

More information

4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3

4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3 SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I WEEK 1 1. Write the slope-intercept form of an equation of a. Write a definition of slope. 7 line with a slope of, and a y-intercept of 3. 11 3. You want

More information

13. Convert to a mixed number: Convert to an improper fraction: Are these two fractions equivalent? 7

13. Convert to a mixed number: Convert to an improper fraction: Are these two fractions equivalent? 7 FINAL REVIEW WORKSHEET BASIC MATH Chapter 1. 1. Give the place value of 7 in 3, 738, 500. 2. Give the word name for 302, 525. 3. Write two million, four hundred thirty thousand as a numeral. 4. Name the

More information

x 2 + x + x 2 x 3 b. x 7 Factor the GCF from each expression Not all may be possible. 1. Find two numbers that sum to 8 and have a product of 12

x 2 + x + x 2 x 3 b. x 7 Factor the GCF from each expression Not all may be possible. 1. Find two numbers that sum to 8 and have a product of 12 Factor the GCF from each expression 4 5 1. 15x 3x. 16x 4 Name: a. b. 4 7 3 6 5 3. 18x y 36x y 4x y 5 4. 3x x 3 x 3 c. d. Not all may be possible. 1. Find two numbers that sum to 8 and have a product of

More information

What value of x satisfies the equation = 1? 2

What value of x satisfies the equation = 1? 2 Math 8 EOG Review Problems Name # If a question is marked, you need to solve the problem without using a calculator. If a problem is not marked, you may use a calculator to solve to the problem. If a question

More information

CHAPTER 8 Quadratic Equations, Functions, and Inequalities

CHAPTER 8 Quadratic Equations, Functions, and Inequalities CHAPTER Quadratic Equations, Functions, and Inequalities Section. Solving Quadratic Equations: Factoring and Special Forms..................... 7 Section. Completing the Square................... 9 Section.

More information

Algebra 1 PAP Fall Exam Review

Algebra 1 PAP Fall Exam Review Name: Pd: 2016-2017 Algebra 1 PAP Fall Exam Review 1. A collection of nickels and quarters has a value of $7.30. The value of the quarters is $0.80 less than triple the value of the nickels. Which system

More information

KEYSTONE ALGEBRA I REVIEW

KEYSTONE ALGEBRA I REVIEW 1. Which graph represents a linear function 4. The faces of a cube are numbered from 1 to 6. If the cube is tossed once, what is the probability that a prime number or a number divisible by 2 is obtained

More information

Introduction to Systems of Equations

Introduction to Systems of Equations Systems of Equations 1 Introduction to Systems of Equations Remember, we are finding a point of intersection x 2y 5 2x y 4 1. A golfer scored only 4 s and 5 s in a round of 18 holes. His score was 80.

More information

Algebra I first Semester Exam

Algebra I first Semester Exam Class: Date: Algebra I first Semester Exam 2013-14 1. At Dr. Carrey's clinic, 42% more patients are treated for flu symptoms in the winter than in the summer. Which is an algebraic expression for the number

More information

VILLA VICTORIA ACADEMY (2016) PREPARATION AND STUDY GUIDE ENTRANCE TO HONORS ALGEBRA 2 FROM ALGEBRA I. h) 2x. 18x

VILLA VICTORIA ACADEMY (2016) PREPARATION AND STUDY GUIDE ENTRANCE TO HONORS ALGEBRA 2 FROM ALGEBRA I. h) 2x. 18x VILLA VICTORIA ACADEMY (06) PREPARATION AND STUDY GUIDE ENTRANCE TO HONORS ALGEBRA FROM ALGEBRA I ) Simplify. 8 43 ) Evaluate the expression if a ; b 3; c 6; d 3) Translate each statement into symbols,

More information

Chapter 6 review. 1. Which statement is true about the graphs of these equations?

Chapter 6 review. 1. Which statement is true about the graphs of these equations? Name: Date: 1. Which statement is true about the graphs of these equations? y = 6x + 4 y = 5x 2 A. The lines intersect, but are not perpendicular. B. The lines are parallel. 4. Members of a senior class

More information

26 Questions EOC Review #1 EOC REVIEW

26 Questions EOC Review #1 EOC REVIEW Name Period 6 Questions EOC Review # EOC REVIEW Solve each: Give the BEST Answer. You may use a graphing calculator.. Which quadrant contains the verte of the following: f ( ) 8 st nd rd d. 4th. What type

More information

Arkansas Council of Teachers of Mathematics 2015 Algebra I Regional Exam

Arkansas Council of Teachers of Mathematics 2015 Algebra I Regional Exam For questions 1 through 25, mark your answer choice on the answer sheet provided. After completing items 1 through 25, answer each of the tiebreaker items in sequential order (do #1 first, followed by

More information

MATH 410 Notes Simplifying Algebraic Expressions

MATH 410 Notes Simplifying Algebraic Expressions MATH 410 Notes 2015 1.9 - Simplifying Algebraic Expressions Commutative Property: a + b = b + a and a b = b a Associative Property: a + (b + c) = (a + b) + c and a (b c) = (a b) c Distributive Property:

More information

1. Graph the system of equations and tell the solution. 1. Solution

1. Graph the system of equations and tell the solution. 1. Solution Algebra Reporting Strand 4: Systems of Equations & Inequalities Subunit 4a: Solving Systems of Equations Review Name: Period: Date: Read all the directions carefully, put your answers in the blanks provided,

More information

Introductory Algebra Final Exam Review

Introductory Algebra Final Exam Review Note: This review represents the topics covered by the final exam. It is in no way intended to represent the quantity of any particular type of problem on the final exam. The answers and graph paper are

More information

Grade 7 Mathematics Test Booklet

Grade 7 Mathematics Test Booklet Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,

More information

Practice Test 1 BLACKLINE MASTERS

Practice Test 1 BLACKLINE MASTERS Practice Test 1 BLACKLINE MASTERS Name Date Chapter 1: The Number System Answer the questions that follow. 1. Which of the numbers below is not irrational? A. 5 C. 2 9 B. D. 1.34344344434444 2. Which of

More information

Q3 Algebra Review Pre-calculus Name. Solve using sign patterning. Write your answer in algebraic form.

Q3 Algebra Review Pre-calculus Name. Solve using sign patterning. Write your answer in algebraic form. Q3 Algebra Review Pre-calculus Name If the sum of the roots of a quadratic equation is b a and the product of the roots is a c. Find a quadratic equation (with integral coefficients) with the following

More information

Unit 1 - Solving Equations & Inequalities. Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3. 4) 5 x = 7 + y 5) 50x 75 > 100x 200 2

Unit 1 - Solving Equations & Inequalities. Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3. 4) 5 x = 7 + y 5) 50x 75 > 100x 200 2 Unit 1 - Solving Equations & Inequalities Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3 4) 5 x = 7 + y 5) 50x 75 > 100x 200 2 Write an equation for each. Do NOT solve. 6) Six is equal to the

More information

Algebra I EOC Packet #

Algebra I EOC Packet # 1. Simplify: A 60x 2.5 B 60x 3 C 16x 2.5 D 16x 3 2. If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3? A 18 B 2 C D 3. Which expression is the greatest common factor

More information

CCGPS Coordinate Algebra. EOCT Review Units 1 and 2

CCGPS Coordinate Algebra. EOCT Review Units 1 and 2 CCGPS Coordinate Algebra EOCT Review Units 1 and 2 Unit 1: Relationships Among Quantities Key Ideas Unit Conversions A quantity is a an exact amount or measurement. A quantity can be exact or approximate

More information

Name. Algebra I Period

Name. Algebra I Period Name Algebra I Period 1 Simplify the following expression: 1 (8 2 4) 8 4 2 4 4 In slope-intercept form, what is the equation of a line with an x-intercept of -3 and a y-intercept of 5? Record your answer

More information

5-3B Systems Review Puzzle

5-3B Systems Review Puzzle 5-3B Systems Review Puzzle x + y = 4 x y = -2 2x + y = -4 2x + 3y = 4 2x + y = 1 4x 2y = 6 2x + y = 1 x + y = 1 3x 2y = 4-2x + 2y = -1 x = -2y + 1 4 = x + y y = 2 2x x = y 5 y = 4 + 3x 2x + 1 = y x y =

More information

Summer Math Packet Grade 8 / Course 3

Summer Math Packet Grade 8 / Course 3 SHOW WORK FOR EVERY PROBLEM 1. If Michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? Use 3.14 for π. Round to the nearest tenth. 4. The weight of an object

More information

Chapter 1 Expressions, Equations, and Functions

Chapter 1 Expressions, Equations, and Functions Chapter 1 Expressions, Equations, and Functions Sec 1.1 Evaluate Expressions Variable EX: Algebraic Expression a collection of,, and without an equal sign. EX: Evaluate an Expression to substitute a number

More information

1) Find two consecutive integers whose sum is 91. 2) Find two consecutive integers whose sum is -17.

1) Find two consecutive integers whose sum is 91. 2) Find two consecutive integers whose sum is -17. Station 1 Basic Algebraic Word Problems Review Questions: 1) Find two integers whose sum is 91. 2) Find two integers whose sum is -17. 3) Find three integers whose sum is 93. 4) Find three even integers

More information

1.2 Constructing Models to Solve Problems

1.2 Constructing Models to Solve Problems 1.2 Constructing Models to Solve Problems In the previous section, we learned how to solve linear equations. In this section, we will put those skills to use in order to solve a variety of application

More information

MATH 410 Notes Simplifying Algebraic Expressions

MATH 410 Notes Simplifying Algebraic Expressions MATH 410 Notes 2016 1.9 - Simplifying Algebraic Expressions Commutative Property: a + b = b + a and a b = b a Associative Property: a + (b + c) = (a + b) + c and a (b c) = (a b) c Distributive Property:

More information

Geometry Pre-Test. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.

Geometry Pre-Test. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question. Class: Date: Geometry Pre-Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An equilateral triangle has three sides of equal length. What is the equation

More information

MATH ALGEBRA AND FUNCTIONS

MATH ALGEBRA AND FUNCTIONS Students: 1. Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations and graph and interpret their results.

More information

AFDA Review of Equations

AFDA Review of Equations Identify the choice that best completes the statement or answers the question. 1. Which expression correctly represents the area of the rectangle above? a. x² + 2 b. 6(x + 2) c. (x + 2)(x + 6) d. 8x 2.

More information

ALGEBRA MIDTERM REVIEW SHEET

ALGEBRA MIDTERM REVIEW SHEET Name Date Part 1 (Multiple Choice): Please show ALL work! ALGEBRA MIDTERM REVIEW SHEET 1) The equations 5x 2y 48 and 3x 2y 32 represent the money collected from school concert ticket sales during two class

More information

STUDENT NAME DATE ID TAKS-M BENCHMARK. Grade 7 Math

STUDENT NAME DATE ID TAKS-M BENCHMARK. Grade 7 Math STUDENT NAME DATE ID TEACHER NAME CLASSROOM PERIOD TAKS-M BENCHMARK Grade 7 Math Students, This assessment will measure your progress in the material you have covered in your class and readiness for upcoming

More information

1 Which expression represents 5 less than twice x? 1) 2) 3) 4)

1 Which expression represents 5 less than twice x? 1) 2) 3) 4) 1 Which expression represents 5 less than twice x? 2 Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability of Gabriella

More information

Final Exam Practice Problems

Final Exam Practice Problems NAME DATE PERIOD Final Exam Practice Problems Write the letter for the correct answer in the blank at the right of each question. 1. Find the perimeter of a rectangle with length 8 inches and width 9 inches.

More information

the distance from the top to the bottom of an object height a measurement of how heavy something is weight

the distance from the top to the bottom of an object height a measurement of how heavy something is weight height the distance from the top to the bottom of an object weight a measurement of how heavy something is length the distance from one side of an object to another measure to find the number that shows

More information

CHAPTER FIVE. g(t) = t, h(n) = n, v(z) = z, w(c) = c, u(k) = ( 0.003)k,

CHAPTER FIVE. g(t) = t, h(n) = n, v(z) = z, w(c) = c, u(k) = ( 0.003)k, CHAPTER FIVE 5.1 SOLUTIONS 121 Solutions for Section 5.1 EXERCISES 1. Since the distance is decreasing, the rate of change is negative. The initial value of D is 1000 and it decreases by 50 each day, so

More information

Welcome to Honors Algebra II Trigonometry at Morton High School!

Welcome to Honors Algebra II Trigonometry at Morton High School! Welcome to Honors Algebra II Trigonometry at Morton High School! Dear Parents and Students, Mathematics is a discipline that constantly builds on previous knowledge. Students entering Honors Algebra II

More information

Algebra I EOC Review (Part 2)

Algebra I EOC Review (Part 2) 1. Let x = total miles the car can travel Answer: x 22 = 18 or x 18 = 22 2. A = 1 2 ah 1 2 bh A = 1 h(a b) 2 2A = h(a b) 2A = h a b Note that when solving for a variable that appears more than once, consider

More information

5. Determine the discriminant for each and describe the nature of the roots.

5. Determine the discriminant for each and describe the nature of the roots. 4. Quadratic Equations Notes Day 1 1. Solve by factoring: a. 3 16 1 b. 3 c. 8 0 d. 9 18 0. Quadratic Formula: The roots of a quadratic equation of the form A + B + C = 0 with a 0 are given by the following

More information

MATH 110: FINAL EXAM REVIEW

MATH 110: FINAL EXAM REVIEW MATH 0: FINAL EXAM REVIEW Can you solve linear equations algebraically and check your answer on a graphing calculator? (.) () y y= y + = 7 + 8 ( ) ( ) ( ) ( ) y+ 7 7 y = 9 (d) ( ) ( ) 6 = + + Can you set

More information

Fall IM I Exam B

Fall IM I Exam B Fall 2011-2012 IM I Exam B Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following equations is linear? a. y = 2x - 3 c. 2. What is the

More information

ALGEBRA 1 CST Questions (2009)

ALGEBRA 1 CST Questions (2009) 1 Is the equation 3(x ) = 18 equivalent to 6x 1 = 18? Yes, the equations are equivalent by the ssociative Property of Multiplication. Yes, the equations are equivalent by the ommutative Property of Multiplication.

More information

Algebra. Chapter 6: Systems of Equations and Inequalities. Name: Teacher: Pd:

Algebra. Chapter 6: Systems of Equations and Inequalities. Name: Teacher: Pd: Algebra Chapter 6: Systems of Equations and Inequalities Name: Teacher: Pd: Table of Contents Chapter 6-1: SWBAT: Identify solutions of systems of linear equations in two variables; Solve systems of linear

More information

ISTEP+: Algebra I End-of-Course Assessment Released Items and Scoring Notes

ISTEP+: Algebra I End-of-Course Assessment Released Items and Scoring Notes ISTEP+: Algebra I End-of-Course Assessment Released Items and Scoring Notes Page 1 of 33 Introduction Indiana students enrolled in Algebra I participated in the ISTEP+: Algebra I Graduation Examination

More information

On Your Own. Applications. Unit 1. 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars.

On Your Own. Applications. Unit 1. 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars. Applications 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars. 2 t = 0.5 + 2a, where a represents the area of the grass and t represents the time in hours

More information

Re: January 27, 2015 Math 080: Final Exam Review Page 1 of 6

Re: January 27, 2015 Math 080: Final Exam Review Page 1 of 6 Re: January 7, 015 Math 080: Final Exam Review Page 1 of 6 Note: If you have difficulty with any of these problems, get help, then go back to the appropriate sections and work more problems! 1. Solve for

More information

Section 2 Equations and Inequalities

Section 2 Equations and Inequalities Section 2 Equations and Inequalities The following Mathematics Florida Standards will be covered in this section: MAFS.912.A-SSE.1.2 Use the structure of an expression to identify ways to rewrite it. MAFS.912.A-REI.1.1

More information

Math 110 Final Exam Review Revised December 2015

Math 110 Final Exam Review Revised December 2015 Math 110 Final Exam Review Revised December 2015 Factor out the GCF from each polynomial. 1) 60x - 15 2) 7x 8 y + 42x 6 3) x 9 y 5 - x 9 y 4 + x 7 y 2 - x 6 y 2 Factor each four-term polynomial by grouping.

More information

Practice - TAKS OBJECTIVE 1 & 2. 1) Which inequality best describes the graph shown below?

Practice - TAKS OBJECTIVE 1 & 2. 1) Which inequality best describes the graph shown below? Name: Period Practice - TAKS OBJECTIVE 1 & 2 1) Which inequality best describes the graph shown below? A y 2x B y x 2 C y 2x 2 D y x 2 2) If y is a function of x in the equation y = x 2 9, which statement

More information

MAT 113 Test #2 Solutions

MAT 113 Test #2 Solutions MAT 11 Test # Solutions There were two forms of the test given, A and B. The letters next to the problems indicate which version they came from. A 1. Let P and Q be the points (, 1) and ( 1, ). a. [4 pts]

More information

Final Exam Study Guide

Final Exam Study Guide Algebra 2 Alei - Desert Academy 2011-12 Name: Date: Block: Final Exam Study Guide 1. Which of the properties of real numbers is illustrated below? a + b = b + a 2. Convert 6 yards to inches. 3. How long

More information

Checkpoint 1 Simplifying Like Terms and Distributive Property

Checkpoint 1 Simplifying Like Terms and Distributive Property Checkpoint 1 Simplifying Like Terms and Distributive Property Simplify the following expressions completely. 1. 3 2 2. 3 ( 2) 3. 2 5 4. 7 3 2 3 2 5. 1 6 6. (8x 5) + (4x 6) 7. (6t + 1)(t 2) 8. (2k + 11)

More information

Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x. 2) 7x - (3x - 1) = 2. 3) 2x 5 - x 3 = 2 4) 15. 5) -4.2q =

Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x. 2) 7x - (3x - 1) = 2. 3) 2x 5 - x 3 = 2 4) 15. 5) -4.2q = Spring 2011 Name Math 115 Elementary Algebra Review Wednesday, June 1, 2011 All problems must me done on 8.5" x 11" lined paper. Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x

More information

due test Prerequisite Skills for Algebra II Advanced

due test Prerequisite Skills for Algebra II Advanced Name: Student ID: Algebra II Advanced is a very rigorous and fast-paced course. In order to prepare for the rigor of this course, you will need to be familiar with the topics in this packet prior to starting

More information

Algebra I Practice Exam

Algebra I Practice Exam Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright

More information

For any negative real number x, the statement

For any negative real number x, the statement 1. Which equation does not have a solution? w + 3 = 3w + w + 3 = w + 5 w + 3 = 4w + 6 w + 3 = w + w + 3. Which expression represents the phrase the quotient of three less than four times a number n and

More information

6-A2 Problem Solving Using Inequalities Alg 1H

6-A2 Problem Solving Using Inequalities Alg 1H 6-A Problem Solving Using Inequalities Alg H Solve by using a variable to write an inequality based on the given information. All work must be shown neatly on notebook paper.. The sum of two consecutive

More information

Math 1 Unit 7 Review

Math 1 Unit 7 Review Name: ate: 1. Which ordered pair is the solution to this system of equations? 5. system of equations is graphed on the set of axes below. y = x + 4 x + y = 2. (1, 5). (0, 2). ( 1, 3). ( 4, 0) 2. Which

More information

ALGEBRA I EOC REVIEW PACKET Name 16 8, 12

ALGEBRA I EOC REVIEW PACKET Name 16 8, 12 Objective 1.01 ALGEBRA I EOC REVIEW PACKET Name 1. Circle which number is irrational? 49,. Which statement is false? A. a a a = bc b c B. 6 = C. ( n) = n D. ( c d) = c d. Subtract ( + 4) ( 4 + 6). 4. Simplify

More information

EOC FSA Practice Test. Algebra 1. Calculator Portion

EOC FSA Practice Test. Algebra 1. Calculator Portion EOC FSA Practice Test Algebra 1 Calculator Portion FSA Mathematics Reference Sheets Packet Algebra 1 EOC FSA Mathematics Reference Sheet Customary Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile

More information

FIRST DEGREE EQUATIONS AND INEQUALITIES IN ONE VARIABLE

FIRST DEGREE EQUATIONS AND INEQUALITIES IN ONE VARIABLE CHAPTER 6 4 CHAPTER TABLE OF CONTENTS 4- Solving Equations Using More Than One Operation 4-2 Simplifying Each Side of an Equation 4-3 Solving Equations That Have the Variable in Both Sides 4-4 Using Formulas

More information

a) b) 1 c) 19 d) e) none of these 2.) 80 0 a) undefined b) 1 c) 80 d) 0 e) none of these Evaluate the expression 3.) a) b) c) d) e) none of these

a) b) 1 c) 19 d) e) none of these 2.) 80 0 a) undefined b) 1 c) 80 d) 0 e) none of these Evaluate the expression 3.) a) b) c) d) e) none of these Math 5 Review Practice Questions *Note 1: The actual Math 5 final exam may include, but is not limited to, the problems in this handout. Study your notes, past homework assignments, quizzes, and tests.

More information

1) Solve the quadratic equation Y=5x*+3 where *=2 A. x = (Y-3) B. x = (3+Y) C. x = (3+Y) 2 D. x = (Y-3) 2

1) Solve the quadratic equation Y=5x*+3 where *=2 A. x = (Y-3) B. x = (3+Y) C. x = (3+Y) 2 D. x = (Y-3) 2 TEST 13 REVIEW Quadratics 1) Solve the quadratic equation Y=5x*+3 where *=2 A. x = (Y-3) B. x = (3+Y) C. x = (3+Y) 2 D. x = (Y-3) 2 2) Explain in complete sentences how to solve the following equation

More information

Algebra I EOC Review (Part 2) NO CALCULATORS

Algebra I EOC Review (Part 2) NO CALCULATORS 1. A Nissan 370Z holds up to 18 gallons of gasoline. If it can travel on 22 miles per gallon in the city, write an equation to model this. 2. Carol wants to make a sculpture using brass and aluminum, with

More information

UNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher:

UNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher: UNIT 5 INEQUALITIES 2015-2016 CCM6+/7+ Name: Math Teacher: Topic(s) Page(s) Unit 5 Vocabulary 2 Writing and Graphing Inequalities 3 8 Solving One-Step Inequalities 9 15 Solving Multi-Step Inequalities

More information

MATH 080 Final-Exam Review

MATH 080 Final-Exam Review MATH 080 Final-Exam Review Can you simplify an expression using the order of operations? 1) Simplify 32(11-8) - 18 3 2-3 2) Simplify 5-3 3-3 6 + 3 A) 5 9 B) 19 9 C) - 25 9 D) 25 9 Can you evaluate an algebraic

More information

Foundations of Math. Chapter 3 Packet. Table of Contents

Foundations of Math. Chapter 3 Packet. Table of Contents Foundations of Math Chapter 3 Packet Name: Table of Contents Notes #43 Solving Systems by Graphing Pg. 1-4 Notes #44 Solving Systems by Substitution Pg. 5-6 Notes #45 Solving by Graphing & Substitution

More information

Tennessee - Test A. Predictive Assessment See what they know. Teach what they need. *TNRC-A1HSAG-101* Practice Example: A L G E B R A

Tennessee - Test A. Predictive Assessment See what they know. Teach what they need. *TNRC-A1HSAG-101* Practice Example: A L G E B R A A L G E B R A Tennessee - Test A I Predictive Assessment See what they know. Teach what they need. Practice Example: Gr HS Items - In evaluating the following problem, which operation should be performed

More information

Summer Math Packet for Students Entering Algebra 2 1. Percentages. a. What is 15% of 250 b. 150 is what percent of 750?

Summer Math Packet for Students Entering Algebra 2 1. Percentages. a. What is 15% of 250 b. 150 is what percent of 750? Summer Math Packet for Students Entering Algebra 2 1. Percentages a. What is 15% of 250 b. 150 is what percent of 750? c. Last week the stock market went down from 15,235 to 13,784. What was the percent

More information

4x 2-5x+3. 7x-1 HOMEWORK 1-1

4x 2-5x+3. 7x-1 HOMEWORK 1-1 HOMEWORK 1-1 As it is always the case that correct answers without sufficient mathematical justification may not receive full credit, make sure that you show all your work. Please circle, draw a box around,

More information

FACTORING AND QUADRATIC EQUATIONS

FACTORING AND QUADRATIC EQUATIONS Topic 24: Factoring and quadratic equations 409 FACTORING AND QUADRATIC EQUATIONS Lesson 24.1 Rectangles and factors 24.1 OPENER Write the length and width for each algebra tile rectangle. 1. 2. 3. 4.

More information

5th Math Geometry (5thmath_geometry)

5th Math Geometry (5thmath_geometry) Name: Date: 1. Use the picture below to answer this question. How many squares can you find in this figure? A. 6 squares B. 7 squares C. 8 squares D. 9 squares 2. Use the figure below to answer this question.

More information

Math 40 Chapter 2 Lecture Notes. Professor Miguel Ornelas

Math 40 Chapter 2 Lecture Notes. Professor Miguel Ornelas Math 40 Chapter 2 Lecture Notes Professor Miguel Ornelas 1 M. Ornelas Math 40 Lecture Notes Section 2.1 Section 2.1 Addition and Multiplication Properties of Equality Addition Property of Equality If A

More information

Math 110 Final Exam Review Revised October 2018

Math 110 Final Exam Review Revised October 2018 Math 110 Final Exam Review Revised October 2018 Factor out the GCF from each polynomial. 1) 60x - 15 2) 7x 8 y + 42x 6 3) x 9 y 5 - x 9 y 4 + x 7 y 2 - x 6 y 2 Factor each four-term polynomial by grouping.

More information

My Math Plan Assessment #1 Study Guide

My Math Plan Assessment #1 Study Guide My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.

More information

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h . Solve: 3x + 8 = 3 + 8x + 3x A. x = B. x = 4 C. x = 8 8 D. x =. Solve: w 3 w 5 6 8 A. w = 4 B. w = C. w = 4 D. w = 60 3. Solve: 3(x ) + 4 = 4(x + ) A. x = 7 B. x = 5 C. x = D. x = 4. The perimeter of

More information

Practice Set 30 Instantaneous Rate of Change

Practice Set 30 Instantaneous Rate of Change Practice Set 0 Instantaneous Rate of Change No Calculator Objectives Find the average rate of change of a function on an interval. Find the instantaneous rate of change of a function at a point. Find the

More information

Using Graphs to Relate Two Quantities

Using Graphs to Relate Two Quantities - Think About a Plan Using Graphs to Relate Two Quantities Skiing Sketch a graph of each situation. Are the graphs the same? Explain. a. your speed as you travel from the bottom of a ski slope to the top

More information

A C E. Applications. Applications Connections Extensions. 1. Sam needs to rent a car for a one-week trip in Oregon. He is considering two companies.

A C E. Applications. Applications Connections Extensions. 1. Sam needs to rent a car for a one-week trip in Oregon. He is considering two companies. A C E Applications Connections Extensions Applications 1. Sam needs to rent a car for a one-week trip in Oregon. He is considering two companies. a. Write an equation relating the rental cost for each

More information

Name Class Date. What is the solution to the system? Solve by graphing. Check. x + y = 4. You have a second point (4, 0), which is the x-intercept.

Name Class Date. What is the solution to the system? Solve by graphing. Check. x + y = 4. You have a second point (4, 0), which is the x-intercept. 6-1 Reteaching Graphing is useful for solving a system of equations. Graph both equations and look for a point of intersection, which is the solution of that system. If there is no point of intersection,

More information

Review: Expressions and Equations

Review: Expressions and Equations Review: Expressions and Equations Expressions Order of Operations Combine Like Terms Distributive Property Equations & Inequalities Graphs and Tables Independent/Dependent Variables Constant: a number

More information

South Brunswick Schools

South Brunswick Schools South Brunswick Schools Summer Packet For Rising Honors Algebra students Directions: All students entering Honors Algebra are expected to be proficient in all their previously-learned algebra and geometry

More information

Unit 7 Systems and Linear Programming

Unit 7 Systems and Linear Programming Unit 7 Systems and Linear Programming PREREQUISITE SKILLS: students should be able to solve linear equations students should be able to graph linear equations students should be able to create linear equations

More information