Algebra EOC Practice Test 1 Complete Solution with Answers 2023

Algebra EOC Practice Test 1 Complete Solution with Answers 2023. George is helping the manager of the local produce market expand her business by distributing flyers around the neighborhood. He gets paid $20 a day as well as $0.05 for every flyer he distributes. George would like to earn at least $65 each day. Which of the following represents this situation, where x is the number of flyers distributed. a. 20 + 0.05x ≤65 c. 20 + 0.05x ≥65 b. 20 + 5x ≤65 d. 20 + 5x ≥65 ____ 2. Divide (16x 6 −12x 4 + 4x 2 ) by 4x 2 . a. 4x 3 −3x 2 + 1 c. 4x 4 −3x 2 + 1 b. 4x 4 −3x 2 d. 12x 4 −8x 2 + 0 ____ 3. Which graph represents the solutions of p + 1 −1 OR p −5 7? a. c. b. d. ____ 4. John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45, 000. XYZ Company offers a yearly salary of $38, 000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company? a. s 7000 c. s 70, 000 b. s 35, 000 d. s 350, 000 ____ 5. Solve 4 s = −2 9 . a. −4.5 c. 18 b. −18 d. 4.5 ____ 6. The average of Paula’s two test scores must be 80 or more for her to get at least a B in the class. She got a 72 on her first test. What grades can she get on the second test to make at least a B in the class? a. at least 76 c. at least 88 b. at least 84 d. at least 92 2 ____ 7. What is the equation of the line shown in the graph? a. y = 3x + 3 2 c. y = 3x −5 b. y = −3x −5 d. y = 2x −5 ____ 8. Solve m −8 ≤ 14. a. m ≤ 6 c. m ≤ 22 b. m ≥ 6 d. m ≥ 22 3 ____ 9. Graph the line with the slope 1 2 and y-intercept 3. a. c. b. d. ____ 10. Which of the following relations is a function? a. {(-2, -2),(-2, -1),(-2, 0),(-2, 1),(-2, 2)} b. {(1, 0),(-1, 0),(2, 1),(-2, 1),(3, 2),(-3, 2)} c. {(-2, 1),(-1, 2),(0, 0),(-1, 1),(2, -2)} d. {(-3, 3),(1, 3),(-3, 2),(1, 2),(-3, 1),(1, 1)} ____ 11. Simplify (a 3 b) 2 . a. a 3 b 2 c. a 6 b 2 b. a 6 b d. a 9 b 2 Name: ______________________ ID: A 4 ____ 12. Simplify the expression 48 147 . a. 4 7 c. 16 49 b. 4 7 3 d. 48 147 ____ 13. The formula for the resistance of a conductor with voltage V and current I is r = V I . Solve for V. a. I = Vr c. V = Ir b. V = I r d. V = r I ____ 14. Which system has no solution? a. y = x + 4 y −x = −4 Ï Ì Ó ÔÔÔÔÔ ÔÔÔÔÔ c. y = 1 2 x + 6 2x + 5 = y Ï Ì Ó ÔÔÔÔÔÔÔ ÔÔÔÔÔÔÔ b. 2y = 2x + 8 −2x = 2y −8 Ï Ì Ó ÔÔÔÔÔ ÔÔÔÔÔ d. y = 4x + 1 y −1 = 4x