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CHAPTERS 1 & 2 REVIEW

CHAPTERS 1 & 2 REVIEW. January 9, 2012. 1 . 3 3  9 + 4 3. 15. ANSWER. ANSWER. 16. ANSWER. 40. Evaluate the expression. 2 . 12 + (5 – 3) 2. 3. 2( c 2 + 4 ) when c = 4. 4 . Identify the domain and range of the function. SOLUTION.

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CHAPTERS 1 & 2 REVIEW

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  1. CHAPTERS 1 & 2 REVIEW January 9, 2012

  2. 1. 33  9 + 4 3 15 ANSWER ANSWER 16 ANSWER 40 Evaluate the expression. 2. 12 + (5 – 3)2 3.2(c2 + 4 ) whenc = 4

  3. 4. Identify the domain and range of the function. SOLUTION The domain is the set of inputs:0, 1, 2, and 4The range is the set of outputs:1, 2, and 5

  4. 35 = 24 – (32+ 1) = b. = 24 – 10 14 = 2[9] = 18 = 5. Evaluate the expression. 7(5) a. 7(13 – 8) = Subtract within parentheses. Multiply. 24 – (9+ 1) Evaluate power. Add within parentheses. Subtract. 2[30 –21] c. 2[30 – (8+ 13)] = Add within parentheses. Subtract within brackets. Multiply.

  5. 6. Tell whether the pairing is a function. a. The pairing is not a function because the input 0ispaired with both 2 and 3.

  6. Output Input 0 0 1 2 8 4 6 12 b. The pairing is a function because each input is pairedwith exactly one output.

  7. 36912 1221 Input 3 6 9 12 Output 1 2 2 1 7. Tell whether the pairing is a function. SOLUTION The pairing is a function because each input is pairedwith exactly one output.

  8. Input 2 2 4 7 Output 0 1 2 3 247 0123 8. Tell whether the pairing is a function. SOLUTION The pairing is not a function because each input is notpaired with exactly one output.

  9. 2xis 0, 2, 5, 7, and 8. The domain of the function y = Make a table for the function, then identify the range of the function. x 0 2 5 7 8 y 7 8 = 2x 2 14 2 16 2 0 2 2 10 0 2 5 4 = = = = = 9. SOLUTION The range of the function is 0, 4, 10, 14, and 16.

  10. Input 0 4 6 10 1 6 Output 8 12 2 3 and let y Let x be the input, or independent variable, be the output, or dependent variable. Notice that each output is 2 more than the corresponding input. So, a rule for the function isy 2. x = + 10. Write a rule for the function. SOLUTION

  11. Graph the functiony = xwith domain 0, 2, 4, 6, and 8. 1 2 11. SOLUTION STEP 1 Make an input-output table.

  12. STEP2 Plot a point for each ordered pair(x, y).

  13. 2n – 3 = 12 ANSWER 5k 30 ANSWER < – Write an equation or an inequality. 12. 3less than twice a number n is12. 13. The product of 5 and a number k is no more than 30.

  14. Property illustrated Statement Associative property of addition 14.(x + 9) + 2 = x + (9 + 2) 15.8.3 + (– 8.3) = 0 Inverse property of addition 16. – y + 0.7 = 0.7 + (– y) Commutative property of addition

  15. 17.(x 7) 0.5 = x (7 0.5) 18.8 0 = 0 y (– 6) 19.– 6 y = 20.9 (– 1) = – 9 21. 1 v = v Statement Property illustrated Associative property of multiplication Multiplicative property of zero Commutative property ofmultiplication Multiplicative property of – 1 Identity property of multiplication

  16. 22. –1 8 = – 8 23. x 12 12 x = (y 4) 9 = y (4 9) 24. 25. 0 (– 41) = 0 – 6 – 5 (– 6) = 8. (– 5) –13 (– 1) 13 27. = Identify the property illustrated. Multiplicative property of – 1 Commutative property ofmultiplication Associative property of multiplication Multiplicative property of zero 26. Commutative property ofmultiplication Multiplicative property of – 1

  17. (–10) (–4) = 1 2 1 30. – (–4) (–3) Multiply – and –4 2 Find the product. 28. – 3 (6) = – 18 Different signs; product is negative. 29. 2 (–5) (–4) Multiply2and –5. = 40 Same signs; product is positive. = 2 (– 3) = – 6 Different signs; product is negative.

  18. 4 3 4 33. (–3) (7) Multiply and –3. 3 Find the product. 31. – 2 (– 7) = (– 2) (– 7) = 14 Same signs; product is positive. 32. – 0.5 (– 4) (– 9) Multiply– 0.5and –4. = (2) (– 9) = – 18 Different signs; product is negative. = – 4 (7) = – 28 Different signs; product is negative.

  19. Use the distributive property to write an equivalent expression. 34.4(y + 3) = 4y + 12 35.(y + 7)y = y2 + 7y 36.n(n – 9) = n2 – 9n 16 –8n 37. (2 – n)8 =

  20. Use the distributive property to write an equivalent expression. 38.–2(x + 7) = – 2(x) + – 2(7) Distribute –2. =– 2x – 14 Simplify. 39. (5 – y)(–3y) = 5(–3y) – y(–3y) Distribute – 3y. =– 15y + 3y2 Simplify.

  21. Multiplicative property of 21 (–1)(2x – 11) 40.–(2x – 11) = = (– 1)(2x)– (–1)(11) Distribute – 1. =–2x +11 Simplify.

  22. – – – – – – – 5 is because 41. The multiplicative inverse of =1. (– 5) 7 6 1 7 6 1 is because 42. The multiplicative inverse of 7 6 6 5 7 5 =1.

  23. , 4 4 , , Order the numbers from least to greatest: – 3 3 . , –2.5 . 13 9 5 5 13 9       ANSWER Read the numbers from left to right: –2.5, – , , , 43. SOLUTION Begin by graphing the numbers on a number line.

  24. ANSWER –1.4 12.8 ANSWER 46. What property is illustrated by(–y + 3) + 6 = –y + (3 + 6)? Associative property of addition ANSWER Find the product. 44.7.6 + (–9) 45.–23.7 + 28.2 + 8.3

  25. ANSWER 52 –26.64 ANSWER Find the product. 47.–6.5(4)(–2) 48.7.4(– 1.2)(3)

  26. – 49. 6(2 x) – – ANSWER 12 6x 3x 2 50.x(3x 2) – + – ANSWER 3x2 – 2x 51. 4x 5 3 x – – + ANSWER Use the distributive property to write an equivalent expression. Simplify the expression.

  27. – 3x 5 + 2 – 14 52. – ANSWER 5 . 3 53. – (– 4) – . 4 3 ANSWER 16 . – . 9x 15 – 54. 3 1 – 3 2 5 Find the quotient. Simplify the expression ANSWER

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