Algebra I Exam Review

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1 Name Algebra I Exam Review Assigned on Assignment 1/17 Final Exam Practice Units 1 and Problems 1-4 1/18 Final Exam Practice Units and 4 Problems 5-5 1/19 Practice Final Exam Multiple Choice / Practice Final Exam Multiple Choice 17-4 Final Exam Complete and on Time 5 points Complete and Late 4 points At Least 50% Complete.5 points Less Than 50% Complete 1 point Category Totals Exam Review Homework Grade / 0 points This sheet is due by Tuesday 1//17 Information about the exam: There will be multiple choice and free response questions. You will be provided with a note sheet and you will use one of my calculators. The exam is worth 0% of your semester grade. To estimate your semester grade: 0.8(Current S1 Percentage) + 0.(Final Exam take a guess) 1

2 *Slope Formula: m Algebra I - Semester I Exam Note Sheet Units 1-4 Linear Equations y y1 *Standard Form: Ax + By = C x x1 A, B, and C are Integers *Slope-Intercept Form: y = mx + b *Direct Variation: y = ax m = slope, b = y-intercept Inequalities < is less than is less than or equal to > is greater than is greater than or equal to Linear Inequalities and Absolute Value If you multiply or divide both sides of an inequality by a negative number, you must switch the direction of the inequality. Absolute Value Bars (everything is positive): * something number * something number * something number something number something number and or number something number something number something number Functions For every input (x-value) there is exactly one output (y-value). Solve Systems Of Equations Graphing Substitution Elimination *Function Notation: f(x) = y Is less than < Open Circle Dashed Line Shade Below Is less than or equal to Closed Circle Solid Line Shade Below Is greater than > Open Circle Dashed Line Shade Above Is greater than or equal to Closed Circle Solid Line Shade Above

1. m = -48. x = 6. n = -57 4. w = - 5. h = -5 6. x = 7. k = 8. 9. t 5 10. 11. h 7 or h 11 1. c = -1 or c = 8 1. -7 < x < 4 p w 14. a. l b.

5 hardcover and paperback Practice Exam Multiple Choice 1. b. c. c 4. a 5. a 6. c 7. d 8. a 9. d 10. d 11. a 1. d 1. c 14. b 15. b 16. a 17. c 18.

3 1. m = -48. x = 6. n = w = - 5. h = x = 7. k = t h 7 or h c = -1 or c = < x < 4 p w 14. a. l b. 11 x 4 a inches 15. y = 4x ½ y x y x 1 9. y x 1 0. y = -x p =.4a $7. (-, -). (, ) 4. 1 and hardcover and paperback Practice Exam Multiple Choice 1. b. c. c 4. a 5. a 6. c 7. d 8. a 9. d 10. d 11. a 1. d 1. c 14. b 15. b 16. a 17. c 18. b 19. c 0. a 1. a. c. b 4. d Practice Exam Free Response (, 7) 4. r < or r > 7 5. y = 5.x 5666 (your answer may differ) 5. y = x y = -x +

4 Semester 1 Final Success Criteria Unit 1-Solving Equations/Inequalities and Function Intro I can solve an equation I can solve an inequality and graph the solution I can solve a proportion/ratio I can write and solve an equation for a context problem I can write and solve an inequality for a context problem I can use a graph to determine solutions to a function I can evaluate equations written in function form Unit 1 Part -Special Equations and Inequalities I can translate a verbal phrase into a compound inequality and graph it on a number line I can solve a compound inequality and graph the solution on a number line I can solve an absolute value equation/inequality and graph the solution(s) on a number line Unit -Graphing Linear Equations I can graph an equation in slope intercept form I can graph an equation in standard form I can graph equations of horizontal and vertical lines I can determine the domain and range of a function I can evaluate or solve a problem in function form I can identify if a graph is a function or not using the Vertical Line Test I can rewrite equations and formulas I can find the slope of a line o Given a graph o Given two points I can identify the slope of a horizontal (slope is zero) and vertical line (slope is undefined) I can classify the slope of a line as positive, negative, undefined or zero I can find and apply rate of change given a context 4

5 Unit Part -Special Graphs I can evaluate/graph a piecewise function I can write an equation from a graph for an absolute value function. I can graph an absolute value function I can graph an inequality Unit -Equations of Lines I can write an equation in slope-intercept form. o Given the slope and y-intercept o Given the slope and a point o Given two points o Given a context o Given a graph I can write an equation in standard form (where A, B and C are integers) I can write an equation of a horizontal or vertical line through a given point I can write a direct variation equation I can write an equation for a line through a point parallel to a given line I can write an equation for a line through a point perpendicular to a given line I can identify if lines are parallel or perpendicular I can plot data, draw a line of best fit, write an equation for the line of best fit and use the equation to make predictions Unit 4 Solving Systems of Equations I can solve a system of equations by graphing. I can solve a system of equations by substitution. I can solve a system of equations by elimination. I can write a system of equations given a context. 5

6 Unit 1: Solving Linear Equations and Inequalities In 1-1, solve for the variable. 1) m 6 8 ) 17 4x 7 ) 9 n 8 4) 16w 10w 1 5 5) 4h 1 7h 6) x 1 8 7) 1 k 8) x 9 5 9) 4t ) 4 a 1 11) 5 h or 6h

7 1) c 5 1 1) x ) The perimeter P of a rectangle is given by the formula P l w where l is the length and w is the width a) Solve the formula for l b) Use the rewritten formula to find the length of a rectangle with a width of 9 inches and a perimeter of 40 inches. Unit : Graphing Linear Equations and Functions 15) Write the equation in function form 1x y 15 16) Find the slope of the line that passes through the points (-7,) and (,8) 7

8 17) Graph 1 y x 5 18) Graph x 5y ) Graph y x 0) Graph x y 1 1) Graph y x1 ) Graph y x 1 8

9 ) Graph 1 x 4, if x 4 f ( x) 4) Graph x, if x 4 x 1, f ( x) x, if if x x Unit : Writing Linear Equations In #5-0, write an equation in slope-intercept form of the line with the given characteristics. 5) slope ; y-intercept 5 6) m = -, passes through (-1,5) 7) passes through (,) and (-5,-8) 8) perpendicular to y x 1 passes through (,) 9

10 9) passes through (9,-) and (-,) 0) parallel to y x passes through (,-) 1) The price p (in dollars) varies directly with the number of admissions to a museum. The museum charges $1 for 5 student admissions. Write a direct variation equation that relates p and a. Then find the total admission price for 0 students. Unit 4: Systems of Equations and Inequalities In #-5, solve the linear system ) x 5y 16 6x y 0 ) 7x 4y 6 x 8y 18 10

11 4) The sum of two numbers is 0. The difference of the same two numbers is 4. Determine the value of the two numbers. 5) A library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $ each. A person spends $6 for 8 books. How many hardcover books did she purchase? 11

12 Name: Algebra Practice Exam Part I: Multiple Choice 1. Is the following relation a function? (4, ), (-, 6), (5, 0), (-, 5), (4, 5) a.) Yes, it is function. c.) No, it is not a function because the range is repeated. b.) No, it is not a function because the domain is repeated. c.) No, it is not a function because the domain and range are repeated.. Solve the equation x = 9 a.) 1.5 b.) c.) 4.5 d.) -. Solve the equation -5x = 15. a.) -5 b.) 10 c.) - d.) 0 4. Solve the equation x 5 = 16. a.) 7 b.).6 c.) 18 d.) 6 5. Find the value of x if 4x 5 = x + 6. a.) 11 b.) 11 7 c.) 1 d.) 7 6. Solve the equation 1 x 7. a.) 5 b.) 10 c.) 0 d.) - 7. Solve.4z + (4.1 + z) = 65.. Round the solution to the nearest hundredth. a.) 1.67 b.) -88. c.).69 d.) Solve x 5 by using cross multiplication. 16 a.) 9.6 b.).8 c.) 4. d.).5 1

13 9. Solve the equation x 1. a.) x = -10 or x = 16 b.) x = 16 or x = 10 c.) x = -16 or x = -10 d.) x = 10 or x = In the equation y = x + 7, what is the slope and y-intercept? a.) m = 7, y-int = b.) m =, y-int = c.) m = -7, y-int = d.) m =, y-int = What is the equation of a line with slope of -4 passing through (-, 5)? a.) y = -4x b.) y = -4x + 1 c.) y = -4x + 18 d.) y = -4x An equation of the line parallel to the line y = x +1 and passing through (7, -10) is? a.) y = x + 11 b.) y = x + 7 c.) y = x 10 d.) y = x 1 1. Solve 4 < x + 5 < 9. a.).8< x <1.4 b.) 9< x <1 c.) -1< x <4 d.) 4< x <7 14. Solve x 7 16 a.) -1< x <15 b.) x<-1 or x >15 c.) < x <11 d.) x< or x >11 x6, x1 15. Given f( x), determine f(4). x, x1 4 a.) 18 b.) 0 c.) 1 d.) 9 1

14 16. What is an equation of the line shown? a.) 4 y x b.) y x c.) y x 4 d.) y x Which equation best models the data in the scatter plot? a.) 1 1 y x b.) y x c.) y x d.) y x 18. Choose the inequality whose solution is shown in the graph. a.) y x 5 b.) y x 5 c.) y x 5 d.) y x Which ordered pair is not a solution of a.) (0, 0) b.) (0, ) c.) (5, 0) d.) (, -5) 14

15 0. Which inequality represents the statement x is less than or equal to or greater 10? a.) x or x 10 b.) x or x 10 c.) x 10 d.) x Write an equation for the given graph. a.) y x 4 b.) y x 4 c.) y x 4 d.) y x 4. Which of the following statements is true of the given lines? Line a: x + y = -4 Line b: x + y = -10 Line c: -x + 4y = -1 a.) Lines a and b are parallel b.) Lines b and c are parallel c.) Lines a and c are perpendicular d.) Lines b and c are perpendicular. A clerk mixes a 10-pound bag of nuts for a customer. Peanuts cost $5.70 per pound and cashews cost $8.70 per pound. The total comes to $ Which system of equation could be solved to determine the number of pounds of each type of nut? a.) 5.70x y = 10 b.) 5.70x y = x + y = 10 x + y = 10 c.) x + y = d.) x + y = x y = x + y = When solving 14 x, which is a possible first step? I. Multiply both sides by III. Divide both sides by II. Multiply both sides by IV. Divide both sides by a.) II only b.) I and III c.) II and IV d.) II and III 15

Name: Algebra Practice Exam Part II: Free Response 1. Graph 5x + y = 0. Find the slope of the line passing. Solve the system of equations. through (,7) and (5, 11) y = x + 5 x + y = 1 4.

16 Name: Algebra Practice Exam Part II: Free Response 1. Graph 5x + y = 0. Find the slope of the line passing. Solve the system of equations. through (,7) and (5, 11) y = x + 5 x + y = 1 4. Solve and graph r + < 7 or r + 9 <. 5. Write an equation to model the cost of a sailboat, which depends on the length of the sail. Length (ft) Cost ($)

Basic Fraction and Integer Operations (No calculators please!)

Basic Fraction and Integer Operations (No calculators please!) P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.