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Chapter Test Integrated Algebra Rational Numbers Bubble in the button next to the response that best answers the question. 1. True or False. The difference between two negative numbers is always positive. true false 2. On Tuesday, the closing price of an ABC company share was $38.50. It had raised $4.08 from the previous day. Find the closing price of an ABC stock on Monday. –$34.42 $34.42 –$42.58 $42.58 3. Simplify –6.4 + (–1.2). –7.6 –5.2 7.6 5.2 4. Evaluate 2x – y for x = 13 and y = 40. –27 –14 5. Simplify –39 ÷ 3. –54 |–14| –36 6. Evaluate –|b – 9| for b = 4. 7. Simplify –6 • (– ). –13 36 5 –3 13 –5 14 –14 3 –5 5 8. Write an expression for the phrase. The product of 12 and the quantity of 4 minus t. 12 • 4 – t 12 • (4t) 12(4 – t) 4 – 12t 9. Simplify 5x2 – 10x2. –5x –5 –5x2 5x2 10. Simplify –24. –8 8 –16 16 1 11. Give the reasons for each step shown below. 3x + 4(3 – 2x) = 3x + 12 – 8x = 3x + 12 + (–8x) = 3x + (–8x) + 12 = (3 + (–8))x + 12 = –5x + 12 distributive property; commutative property of subtraction; commutative property of addition; distributive property; additive inverse property distributive property; definition of subtraction; commutative property of addition; distributive property; addition identity property of multiplication; definition of subtraction; commutative property of addition; distributive property; addition distributive property; definition of subtraction; associative property of addition; distributive property; addition 12. Simplify |–8| + (–6) + 14. 13. Simplify –39 ÷ 3. 28 –36 0 16 12 36 –13 13 14. Suppose you choose a marble from a bag containing 7 green marbles, 5 red marbles, and 6 blue marbles. You replace the first marble in the bag and then choose again. Find the probability P(blue, and then red). 15. Write a subtraction expression modeled by the number line shown. Then find the difference. 3 – 7 = –4 –4 – 7 = 3 3–7=4 –4 – 7 = 3 2 16. Simplify –x – 13x. –14x –13x 12x 13x 17. Evaluate (x – 14) ÷ y + z for x = –10, y = –2, and z = –12. –24 0 24 12 18. Simplify 6(b – 5). 6b – 30 6b – 5 30b –30b 19. A number cube is rolled 240 times. Six comes up 41 times. What is the theoretical probability of rolling a six? 20. Evaluate – for x = – and y = – . – 3