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Name: ______________________ Period: ______ Date: _______________ Review for Quiz #4: 7/8A Day 12 Answer the following questions. Show all algebraic work! 1. Which of the following is an example of the Inverse Property of Multiplication? 1 -1 1 + (- 3) = 0 + =0 a: b: 3 3 3 c: 2. 1 · 3 ж3 ц зз ч ч =1 и1 ш d: 1 · 3 ж- 3 ц з ч =1 з 1ч и ш Which of the following is an example of the Inverse Property of Addition? 1 -1 1 + (- 3) = 0 + =0 a: b: 3 3 3 c: 1 · 3 ж3 ц зз ч ч =1 и1 ш d: 1 · 3 ж- 3 ц з ч =1 з 1ч и ш 3. Gus rewrote (4x + 6) – 8 as 4x + (6 – 8). What property allowed him to correctly do that? a: Associative Property b: Commutative Property c: Identity Property d: Distributive Property 4. Which of the following expressions is NOT equivalent? a: 4(3x – 20) b: 12x – 80 c: 80 – 12x d: 2(6x – 40) 5. 8 x - 24 Factor the following expressions completely: a: 2(4x – 12) b: 4(2x – 6) c: 8(x – 24) d: 8(x – 3) 6. 10 x - 50 Factor the following expressions completely: a: 5(2x + 10) b: 5(2x – 10) c: 10(x + 5) d: 10(x – 5) 7. Use the Distributive Property to simplify: a: –21x + 5 b: c: –21x + 35 d: –7(3x + 5) –21x – 5 –21x – 35 (#8-9) Match each word problem to the algebraic equation that represents the scenario. 8. Mrs. Golden’s class is selling holiday wreaths to earn money for a field trip. For every wreath sold, the class makes $6.25. They have already earned $245.75, but they need $950. Which algebraic equation below should be used to determine many wreaths, w, they must sell to earn $950? a: 245.75 – 6.25w = 950 b: 245.75 + 6.25w = 950 c: 950 + 6.25w = 245.75 d: 950w + 6.25= 245.75 9. The cost for cable TV service in a Springfield is $45 for the installation and $24 a month for service. Which algebraic equation below should be used to determine how many months, m, Homer was being charged if his cable bill was $117? a: 45 + 24m = 117 b: 45 + 117 = 24m c: 24 + 45m = 117 d: 69m = 117 (#10-13) Simplify the following algebraic expressions and write in standard form. 10. –5(7x) + 2(8x) 11. 4(–5n + 6) – 3n 12. 5 1 x 9 x 8 4 13. 1 15x 30 25x 5 (#14-21) Solve. Show all algebraic work! 14. 2x – 40 = ─86 15. 5 a ─ 6 = 24 7 17. 1 16 12 x 25 4 –4(–3x – 5) = 12 19. 6a + 4(3a + 5) = –16 –3(4x + 3) + 4(6x + 1) = 43 21. –2w –7 – 10w = 41 16. 10 + 18. 20. w =3 4 (#22-23) Answer the following questions. Show ALL algebraic work! Remember to write let statements when appropriate. 22. Harold works in New York City and makes $42 per hour. He works in an office and must get his suit dry cleaned every day for $75. If he wants to make $261 a day, what is the amount of hours he must work? Write and solve an algebraic equation. 23. Use the figure below to answer the following questions. 10x – 2 2x – 1 6x – 3 a: Write an algebraic expression to represent the perimeter of the triangle above. b: Write an algebraic equation to represent the perimeter if the perimeter of the triangle is 120 inches. c: Solve the algebraic equation that you wrote in part b to find the value of x. Study 1st quiz! 15. Simplify the following: 3 2 4 x 7 x 6 4 7