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Unit 2 Test Review

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1. Solve: A. 13 B. 7 C. 5 ½ D. 10

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Answer to #1 Which is B

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2. Solve: (16 ÷ 4) + 4 (2 2 – 2) A. 16 B. 20 C. 12 D. 48

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Answer to #2 (16 ÷ 4) + 4 (2 2 – 2) 4 + 4 (4 – 2) 4 + 4 2 4 + 8 12 Which is C

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3. Solve: 6 7 – 3 4 + 1 A. 157 B. 28 C. 195 D. 31

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Answer to #3: 6 7 – 3 4 + 1 42 – 12 + 1 30 + 1 31 Which is D

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4. Which property is represented? 16 + 47 + 14 = 47 + 16 + 14 A. Commutative of addition B. Commutative of multiplication C. Associative of addition D. Associative of multiplication

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Answer to #4: 16 + 47 + 14 = 47 + 16 + 14 This is commutative property of addition since the 16 and 47 moved. (order changed) Which is A

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5. Which property is represented? (45 + 39) + 25 = (39 + 45 ) + 25 A. Commutative of addition B. Commutative of multiplication C. Associative of addition D. Associative of multiplication

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Answer to #5: (45 + 39) + 25 = (39 + 45 ) + 25 This is commutative property of addition. It is not associative even though it has parentheses because the numbers moved not the grouping symbols. Which is A

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6. Which property is represented? A. Commutative of addition B. Commutative of multiplication C. Associative of addition D. Associative of multiplication

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Answer to #6: This is associative property of multiplication because the grouping symbols move but the order of the numbers stays the same. Which is D

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7. Which property is represented? A. Commutative of addition B. Commutative of multiplication C. Associative of addition D. Associative of multiplication

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Answer to #7 This is commutative property of addition because the order of the numbers changes but not the grouping symbols. Which is A

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8. Combine Like Terms h 2 + 4h + 4h 2 – h + 4 + h 2 + 7h A. 6h 2 + 10h + 4 B. 16h 2 + 4 C. 6h 2 + 7h + 8 D. 5h 2 + 11h + 4

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Answer to #8: h 2 + 4h + 4h 2 – h + 4 + h 2 + 7h h 2 + 4h 2 + h 2 + 4h – h + 7h + 4 6h 2 + 10h + 4 Which is A

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9. Which one of these simplifies to 3x 2 + 3x – 6? A. 6x 2 + 3x + 6 – 3x 2 B. 6x 2 + x – 6 – 2x 2 + 2x - x 2 C. 6x 2 + 3x – 6 + 3x 2 D. 6x 2 – 3x – 6 – 3x 2

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Answer to # 9: Problem: 3x 2 + 3x – 6 A. 6x 2 + 3x + 6 – 3x 2 = 3x 2 + 3x + 6 B. 6x 2 + x – 6 – 2x 2 + 2x – x 2 = 3x 2 + 3x - 6 C. 6x 2 + 3x – 6 + 3x 2 = 9x 2 + 3x - 6 D. 6x 2 – 3x – 6 – 3x 2 = 3x 2 - 3x – 6 The answer is B

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10. Simplify: A. 74 B. 100 C. 64 D. 1324

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Answer to #10: Which is C

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11. Translate: three more than two times a number A. 2x + 3 B. 2(3+x) C. 2x – 3 D. 3 – 2x

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Answer to #11: three more than two times a number More than means add Times means multiply So the answer is: 2x + 3 Which is A

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12. Translate: five times the difference of six and a number A. 5(6 – x) B. 5x – 6 C. 5 (x – 6) D. 56 - x

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Answer to #12: five times the difference of six and a number Times means multiply Difference means subtract So the answer is 5(6 – x). Which is A

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13. Simplify: 3(2x + 2) + 4(3x + 2) A. 18x + 4 B. 5x + 14 C. 5x + 4 D. 18x + 14

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Answer to # 13: 3(2x + 2) + 4(3x + 2) 3 2x + 3 2 + 4 3x + 4 2 6x + 6 + 12x + 8 6x + 12x + 6 + 8 18x + 14 Which is D

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14. Simplify: 6(2x + 3y) + 2(x + y) A. 3x + 4y B. 34xy C. 14x + 20y D. 30x + 4y

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Answer to # 14: 6(2x + 3y) + 2(x + y) 6 2x + 6 3y + 2 x + 2 y 12x + 18y + 2x + 2y 12x + 2x + 18y + 2y 14x + 20y Which is C

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15. Simplify: 4(3x + 7) A. 40x B. 12x + 28 C. 12x + 7 D. 3x + 28

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Answer to # 15: 4(3x + 7) 4 3x + 4 7 12x + 28 Which is B

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16. Solve: 3x + 5 = 11 A. x = 6 B. x = 2 C. x = 5 1/3 D. x = 4

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Answer to #16 3x + 5 = 11 -5 -5 3x = 6 3 3 X = 2 which is B

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17. 2(3x + 4) = 32 A. X = 4 2/3 B. X = 6 ½ C. X = 4 D. X = 2

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Answer to #17: 2(3x + 4) = 32 6x + 8 = 32 -8 -8 6x = 24 6 6 x = 4 which is C

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19. A. h = 68 B. h = 53 C. h = 43 D. h = 28

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Answer to #19: Which is A

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20. solve: 4x – 4 = 12 A. x = 7 B. x = 2 C. x = 4 D. x = 3

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Answer to #20: 4x – 4 = 12 +4 = +4 4x = 16 4 4 x = 4 Which is C

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A used mountain bike costs $79.95. This is $120 less than the cost of a new one. Write an algebraic equation to find the cost of a new bike. How much is it? Let c be your variable.

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C-120 = 79.95 The cost of a new bike is $120 + $79.95, which is $199.95.

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In 2005, the largest bank in the world was UBS, Switzerland, with $1,533 billion in assets. This was $49 billion more than the largest bank in the U.S., Citigroup. Write and solve an equation to find Citigroups assets.

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Let a = Citigroups assets a + 49 = 1,533 A = $1,484 billion

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Rodney had 53 baseball cards. Then he started to buy cards each week. After 1 week, Rodney had 73 cards. After 2 weeks, he had 93 cards. After 3 weeks, he had 113 cards. Write and solve a linear equation that will show how many cards Rodney will have after 5 weeks.

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Since this is a linear equation, we know that we must have an x and y variable. Let Y = how many cards Rodney has in total Let X = how many weeks of card buying Rodney has done Let 20 = how many cards he buys per week Let 53 = how many cards he started with Y = 20X + 53 Y = 20x5 + 53 Y = 153 cards

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