Midterm Review Packet

Transcription

1 Algebra 1 CHAPTER 1 Midterm Review Packet Name Date Match the following with the appropriate property. 1. x y y x A. Distributive Property. 6 u v 6u 1v B. Commutative Property of Multiplication. m n 5 m n 5 C. Associative Property of Addition 4. gx xg D. Commutative Property of Addition 5. a b 4c a b 4c E. Associative Property of Multiplication Simplify (-) + 4(6) ( 6 ) ( 1) (19+11-)

2 Rewrite the following using exponents. 4. a a b 5. 7 x x x z z z z 4. 5.

3 Rewrite the following without using exponents. 6. a b 7. 4y Evaluate the following expressions when x = and y = ( y x) 9. x y y 5 x 41. y x y Check whether the given number is a solution of the equation or inequality. Write Yes or No 4. x 17; 7 4. x 5 7 ; x ; x x ; Match the following phrases with their algebraic expression. 46. Six times a given number 47. Six less a number 48. Six less than a number 49. Fourteen is less than seven 50. Fourteen less than a given less the product of a given times a given number number is seven number and seven 5. Six less a number z is less 5. Six less than a number z is 54. The product of six and a number than 1 less than 1 z is less than 1 A. 6 x B. x 6 C. 6x D. 14 < 7x E. 14 7x F. x 14 = 7 G. 6 - z < 1 H. z 6 < 1 I. 6z < 1

4 Write an equation that correctly models the situation. Then solve. 55. You are 7 inches tall. You are 15 inches taller than your younger sister. How tall is your sister? Your teacher gave you 10 days to read a 90-page book. How many pages a night will you have to read? Let p be the number of pages read A movie theater charges $8 admission. The total sales on a given day were $560. How many admission tickets were sold that day? 57. Use the Chapter 1 Formulas to help solve the following application problems. 58. An airplane travels at a rate of A car travels at 10 kilometers miles per minute for 1 minutes. per hour for 4 hours. How far How far does the plane travel? does the car travel? 60. Find the perimeter of the triangle 61. Find the area of a triangle with below if x = 6. a height of 7 inches and a base of 1 inches. x x 60. x 6. Find the volume of a cubic package with 6. Find the area of a rectangular pig a base of feet. pen with a length of 17 feet and a width of 11 feet

5 Algebra 1 Midterm Review Packet Name Date CHAPTER In 1-4, replace the? with >, < or = to make each sentence true ? -7.? ? ? Write 11 6, 14 9, 1 7 in order from least to greatest: Write 4,,, 1. 5 in order from greatest to least: Evaluate the following expressions Evaluate the following when a = -1 and b = a b 1. b 4 a Use the Distributive Property to help simplify the following x r 7r x 8x x a b 18. 6a 9b

6 19. x 4 x x 5 x p 6p p. x x x y y 4. 15a 0b x ab a 7b 6ab ( ) ( ) t 4 n t 5xy - x-7 + xy +x b 9 b 0. 11m 7n m 6n On February 1th you deposit $150 into your bank account. On April 1th you withdraw $15 and on May 6th you deposit $5. How much money do you have in your bank account? 1.. One quarter will give 40 minutes at a parking meter. If you will be gone hours (10 minutes), how many quarters do you need to deposit?.

7 Algebra 1 Midterm Review Packet Name Date CHAPTER Solve the following equations. 1. x 4 1. x x u x y 6. x x x 9. 4 a x x (a + ) = b 1 b

8 15. 4x 5 x y y d 4 4d x 7 x x a 9 8a x y y 1. 4x 6 x 1.. Solve the following formulas for the indicated value.. y mx b ; x 4. A bh; h P L W ; L 6. V Bh ; h Solve the following proportions. x y 8.

9 9. x x Convert each of the following units years to months. 156 inches to feet 1.. Solve each of the following percentage questions.. What percent of 80 is 7? 4. What is 5% of 80? % of what is 9? 6. What is 100% of? % of what is 15? 8. What percent of 0 is 0? What is 00% of 54? % of what is 10?

10 Algebra 1 Midterm Review Packet Name Date CHAPTER 4 Write the ordered pairs that correspond to points A, B, C, and D 1.. A B C D A B C D. Label the quadrants, axes, and the origin on the coordinate plane to the right. 4. List the quadrant that each of the points is in DO NOT PLOT THE POINTS A. (-5, ) B. (0, -7) C. (, 16) D. (1, -80) E. (10, 0) F. (-0, -60) Identify the Ordered Pair that IS a solution to the equation 5. x y y A. (-1, 1) C. (, -9) A. (0, -18) C. (0, 18) B. (1, -1) D. (9, ) B. (18, 0) D. (-18, 0) x 8 8. y 4x 7. A. (-8, 1) C. (8, -1) A. (, 5) C. (, -5) B. (1, -8) D. (-1, 8) B. (5, ) D. (5, -) Find the range of 1 y x if the domain is {0, 1,, } 9.

11 10. Find the range for y = x 1 if the domain is {-1, 0, 1} Find the output values for y = 7 x if the input values are {-, -1, 0, 1, } 11. Use the following tables to a) List the Domain; b) List the Range; c) Does it represent a function? x y x y x y Domain: Domain: Domain: Range: Range: Range: Function? Function? Function? Determine whether each of the relations below is a function. 15. {(, -6), (, 4), (-, -6), (5, 0)} 16. {(1, ), (, 6), (1, -4), (5, 0), (8, -)} Write an equation for the graphs shown below

12 . Which of the following equations has a graph that is vertical? A. y = x + B. y = C. x = 4 D. y = x 4. Which of the following equations has a graph that is horizontal? A. y = x + B. y = C. x = 4 D. y = x Use the graph below to find the x-intercept and the y-intercept x-int y-int x-int y-int x-int y-int Find the x-intercept and the y-intercept of the following equations. Use the intercepts to graph the equation. 8. x + y = x y = x: y: 9. x: y: 0. y x 5 1. y 5x 9 0. x: y: 1. x: y: Rewrite the equation in Slope-Intercept Form:. 6x y 18. x y 14..

13 4. x 6y y 6x Find the slope of the line 7. Find the slope of the line 6. passing through the points passing through the points (, -1) and (, 4) (0, 8) and (-1, 8) Find the slope of the line 9. Find the slope of the line 8. passing through the points passing through the points (, 4) and (5, 0) (, 4) and (, -) Sketch the graph of a line with: A. a positive slope B. a negative slope C. no-slope (undefined ) D. zero-slope Identify the slope and y-intercepts, then graph the line. 41. y x 4. y x 4 slope: y-int: slope: y-int:

14 4. Write the equation of a line 44. Write the equation of a line 4. with a slope of - and a with a slope of 5 and a y-intercept of 6. Then graph. y-intercept of -4. Then graph. 44. Match the following picture with the correct equation A. y x 1 A. y x B. 1 y x B. y x C. y x C. y x D. y x D. y x 1 Evaluate. g when 47. x 8x x 48. x x 6 h when x Given f(x) = x 8, find f() 50. Given f(x) = 17 x + 9, find f(-1) The cost of a one day car rental from City Wide Rentals is given by the function C x 0.18x 5where x is the number of miles driven. What is the cost of the car rental if 587 miles are driven in one day? 51.

15 Algebra 1 Midterm Review Packet Name Date CHAPTER 5 1. Write the equation of the line in slope-intercept form 1. given the following graph.. Which of the following lines is the graph of 4x + y = 8 A. B. C.. Rewrite in slope-intercept form: x 5y Write the equation of the line through (10, 8) with slope 1 in point-slope form Write the equation of the line through (1, -) with slope - in point-slope form Write the equation of the line through (7, 6) with slope 5 in point-slope form Write the equation of the line through (, 5) with slope 6 in slope-intercept form Write the equation of the line through (4, 5) with slope 1 in slope-intercept form. 7.

16 9. Determine the slope of the line passing through (-4, 5) and (, -) Write the equation of the line that passes through the points (-4, 5) and (, -) Write the equation of the line that passes through the points (-8, -4) and (6, ) Write the equation of the line that passes through the points (-, 5) and (1, 5) Write the equation of the line that passes through the points (, -1) and (4, 5) 1. Rewrite the following equations in Standard Form. 14. x y y 4x y x 17. y x What is the slope of a line 19. What is the slope of a line parallel to the line with the parallel to the line with the 18. equation y x 7 equation y x 19.

17 0. What is the slope of a line 1. What is the slope of a line perpendicular to the line with the perpendicular to the line with the 0. equation y x 7 equation y x 1. Determine whether the following sets of lines are Parallel, Perpendicular, or Neither.. y = -6x. y = x y = -4x 4y = x y = x y = -½ x y = 6x 4 y = -x Write an equation of a line that passes through the point (4, -1) and is parallel to the line 1 y x Write an equation of a line that passes through the point (, -) and is parallel to the line y x Write an equation of a line that passes through the point (-4, 6) and is perpendicular to the line y x Write an equation of a line that passes through the point (0, 11) and is perpendicular to the line y x 6 9.

18 Algebra 1 Midterm Review Packet Name Date CHAPTER 6 Solve the following inequalities and graph their solutions x < 18. -a > x y c n 6 6n y x x x 10. y 51 y

19 Write the inequality for each graph shown below Solve the following compound inequalities and graph the solution < 7x < < x x + 1 < x > 0 or 8 + x x 1. or 5 6 x. x + 1 > 1 or -18 > 7x + 1..

20 . You earn $8.75 per hour at your math tutoring job. Write and solve an inequality to show how many full hours h you need to work to save at least $650 so that you can buy Ms. Kurtz something awesome! Inequality: Solution: 4. A membership to the Math Is Cool Club has an initiation fee of $90. Each month you are billed an additional $0. Write and solve an inequality to find the maximum amount of time you can be a member for $600. Inequality: Solution:

21 Algebra 1 Midterm Review Packet Name Date PRACTICE STORY PROBLEMS Define your variable(s), write an equation, and solve. Be sure to include units!! 1. The sum of two numbers is 18. The less of the two is 6, what is the greater number? 1.. The difference of two numbers is 8. The greater number is, what is the lesser number?.. For $1.89, you can buy 75 square feet of plastic wrap. At this rate, how much does 15 square feet of plastic wrap cost?. 4. Lisa is 7 years older than Claire. The sum of their ages is 51. What is Claire s age? Jack drove 60 miles in 4 hours. How fast was he driving? Manny can average 16 mi/hr on his bicycle in a race. How long will a 44 mile race take? 6.

22 Midterm Review Chapter 1 Answers Algebra 1 1. D. A. E 4. B 5. C a b x z 4 6. a a b b b 7. 4y 4y 4y Yes 4. Yes 44. No 45. Yes 46. C 47. A 48. B 49. D 50. F 51. E 5. G 5. H 54. I 55. a) x + 15 = 7 b) 57 inches 56. a) 10p = 90 b) a) 8x = 560 b Midterm Review Chapter Answers Algebra 1 1. >. >. < 4. > , 6 11, , 5, 1.5, x r x 16. -x a + 18b a 7b x 9 0. x p. 11 x. 11y + 4. a 4b 5. 1 x 6. 9ab a + 7b 7 7. tn xy + x m 1n 1. $50. quarters Midterm Review Chapter Answers Algebra All real # s No sol All real #. x = y b m 4. h = A b 5. L = P W 6. h = V B % Midterm Review Chapter 4 Answers Algebra 1 1. A(5, 1) B(0, 4) C(-, -1) D(0, 0). A(-4, 0) B(, ) C(1, -1) D(-, -5). On graph 4. A. Quad 1, B. y-axis, C. Quad 1, D. Quad 4, E. x axis, F. Quad 5. A 6. C 7. A 8. D 9. 1,, 5, , -1, , 10, 7, 4, 1 1. D: 0, 1,, R:, 4, 6, 8 yes 1. D: 7, 9, 10 R: 7, 9, 8, 10, no

23 14. D: 1,, 5, 7 R: 1,, yes 15. Yes 16. No 17. Yes 18. No 19. x = 0. y = 4 1. x = -.5. y = -.5. C 4. B 5. x: (, 0) y: (0, ) 6. x: (-1, 0) y: (0, ) 7. x: (, 0) y: (0, -) 8. x: (, 0) y: (0,) 9. x: ( 5, 0) y: (0, -5) 0. x: (5, 0) y: (0, -) 1. x: ( 9, 0) y: (0, -). y = 6x y = x y = 1 x y = x Undefined 40. positive negative undefined zero y = -x B 46. B y = 5 x $ Midterm Review Chapter 5 Answers Algebra 1 1. y = x + 1. A. y = 5 x 4. y = 1 x + 5. y = x 1 6. y = 5 x y = 6x 7 8. y = 1 x y = x y = 1 x 6 1. y = 5 1. y = x x + y = x + y = x + y = x 15y = perpendicular. Neither 4. neither 5. Parallel 6. y = 1 x 7. y = x 9 8. y = 1 x y = x + 11 Midterm Review Chapter 6 Answers Algebra 1 1. x < 6. a < -6. x y 6 5. c > n < 7 7. y x x 10. y x - 1. x > 1. x < x 15. x - OR x < x < < x < < x x < 4 0. x > 7 OR x x < -9 OR x > -1. x > 6 OR x < x 650, x x 600, x 17 Midterm Review Story Problems Answers Algebra $ mph hours