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 1-16 1/ 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
*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. 11 x 4 a inches 15. y = 4x + 5 16. ½ 17. 18. 0. 1... 5 7 7. y x 4 4 1 4 8. y x 1 9. y x 1 0. y = -x + 1 1. p =.4a $7. (-, -). (, ) 4. 1 and 8 5. 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. b 19. c 0. a 1. a. c. b 4. d Practice Exam Free Response 1. 19. 4... (, 7) 4. r < or r > 7 5. y = 5.x 5666 (your answer may differ) 5. y = x + 5 6. y = -x +
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
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
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 7 1 15 5 10) 4 a 1 11) 5 h or 6h 5 71 6
1) c 5 1 1) x 6 17 14) 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
17) Graph 1 y x 5 18) Graph x 5y 0 4 19) Graph y x 0) Graph x y 1 1) Graph y x1 ) Graph y x 1 8
) 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
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
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
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 + 4.5 = 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.) 9.81 8. Solve x 5 by using cross multiplication. 16 a.) 9.6 b.).8 c.) 4. d.).5 1
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 = -16 10. 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 = 7 11. 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 + 5 1. 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
16. What is an equation of the line shown? a.) 4 y x b.) y x c.) y x 4 d.) y x 4 4 4 17. 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 5 19. Which ordered pair is not a solution of a.) (0, 0) b.) (0, ) c.) (5, 0) d.) (, -5) 14
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 10 1. 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 $76.50. Which system of equation could be solved to determine the number of pounds of each type of nut? a.) 5.70x + 8.70y = 10 b.) 5.70x + 8.70y = 76.50 x + y = 10 x + y = 10 c.) x + y = 76.50 d.) x + y = 76.50 5.70x + 8.70y = 76.50 x + y = 10 4. When solving 14 x, which is a possible first step? I. Multiply both sides by III. Divide both sides by II. Multiply both sides by IV. Divide both sides by a.) II only b.) I and III c.) II and IV d.) II and III 15
Name: Algebra Practice Exam Part II: Free Response 1. Graph 5x + y = 0. Find the slope of the line passing. Solve the system of equations. through (,7) and (5, 11) y = x + 5 x + y = 1 4. Solve and graph r + < 7 or r + 9 <. 5. Write an equation to model the cost of a sailboat, which depends on the length of the sail. Length (ft) 11 1 14 14 16 Cost ($) 600 500 1900 1700 500 6500 6000 16