Unit 2 Expressions & Equations
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Unit 2 – Expressions & Equations Name: ______Date: ______Period: ______.
Identify the GCF of each pair of terms.
1. 24y, 36yz 2. 2ab, 10ab 3. 0.6ab, 2b ______
Factor each expression completely.
4. 50y + 25 10. 20z + 30z 16. km + 16k
5. ______11. ______17. ______
6. 12. 18.
7. 16y – 12 13. 21m – 35 19. abc – 2ac
8. ______14. ______20. ______
9. 15.
21. Expand each expression. (Distributive Property)
22. 3(m + 8) 26. (10y + 12) 30. 0.1(40g + 5)
23. ______27. ______31. ______
24. 4(2h – 3) 28. (9z – 4) 32. (m + 1)
25. ______29. ______33. ______
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35. Write true or false for each statement. If false, rewrite the statement so it is true.
36. Expanding an expression means removing the parenthesis or grouping symbols from it. ______
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38. You can use the distributive property to help you expand and factor expressions. Unit 2 – Expressions & Equations 39. ______
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41. The GCF of an expression can be a variable or any rational number.
42. ______
43. Choose the best answer.
44. Which expression is equivalent to 28z – 84?
45. A. 28(z + 3) B. 28(1-3)
46. C. 28(z -3) D. 28z(z – 3)
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48. Which expression is equivalent to [16y – (- )]?
49. A. 12y + B. 12y + 1
50. C. 12y - D. 12y - 1
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52. Kenny earns $150 for each ring he sells. He pays $85 in rent each day for his booth at a craft festival. After the cost of renting the booth is deducted, he earns (150r – 85) per day. Which expression shows how many dollars he earns in 4 days at the festival?
53. A. 515 B. 260r
54. C. 600r – 85 C. 600r – 340
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56. Last year, the Burrells went to the movies as a family four times and paid a total of (8a + 12c) dollars for tickets for all four of those trips. Assuming they paid the same amount each time, which expression best represents how many dollars they paid each time?
57. A. 32a + 48c B. 4(2a + 3c)
58. C 2a + 3c D. 2a + c
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60. For her salary each day as a pizza delivery person, Eva earns $50 plus $2 for each pizza, p, delivered, or (50 + 2p) dollars. Write an expression to show the total salary Unit 2 – Expressions & Equations Eva will earn, in dollars, if she delivers p pizza each day for seven days. Then expand that expression. Show your work!
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