1. Convert the word phrase to symbols. "The product of twenty and eight, increased by ten."
a. 20 + 8 + 10
b. 20 × 8 + 10
c. 20 ÷ 8 +10
d. 8 ÷ 20 + 10

2. Identify the number of terms in the expression, 86 + 22xy.
a. 1
b. 2
c. 3
d. 6

Problems 3–4: Identify the indicated part of each expression.

3. Identify the constant(s) of 5x + 120y − 24.
a. −24
b. 5 and 120
c. 5, 120, and −24
d. x and y

4. Identify the coefficients of 13xy − x + 11.
a. 13, −1
b. xy and x
c. 13, −1, 11
d. 11

5. Round 3,298,491 to the nearest ten thousand.
a. 3,298,000
b. 3,290,000
c. 3,300,000
d. 3,298,490

6. Round 21,532.032781 to the nearest thousandth.
a. 21,532.033
b. 22,000
c. 21,532.032000
d. 21,532.03

Problems 7–8: Use the order of operations to evaluate each expression.

7. 50 + 24 ÷ 2 × 10 − 15
a. 355
b. 155
c. −185
d. 255

8.
a. 11
b. 30
c. 7
d. 18

Problems 9–11: Evaluate each variable expression using the indicated values for each variable.

9. 40 − 2b, for b=4.
a. 26
b. 34
c. 7
d. 32

10. 10x + 60 ÷ (2y), for x=5 and y=2.
a. 65
b. 120
c. 27.5
d. 41.25

11. , for a = 5 and b = 3.
a.
b.
c.
d. 4

Problems 12–13: For each true equation, select the property that justifies its truth; otherwise, select false equation.

12.(x + 18) + 21 = x + (18 + 21)
a. distributive
b. commutative
c. associative
d. identity
e. false equation

13. 8 • (x + 2) = (x + 2) • 8
a. distributive
b. commutative
c. associative
d. identity
e. false equation

Problems 14–16: Select the best inverse operation to use first when solving the given equation.

14. 8(x − 13) = 24
a. Add 13 to both sides.
b. Divide both sides by 13.
c. Subtract 8 from both sides.
d. Divide both sides by 8.

15.
a. Multiply both sides by 6.
b. Add 15 to both sides.
c. Divide both sides by 6.
d. Subtract 15 from each side.

16. 4x + 11 = 37
a. Divide both sides by 4.
b. Add 11 to both sides.
c. Subtract 11 from both sides.
d. Multiply both sides by 4.

Problems 17–18: Select the equation that is equivalent (has the same solution) to the given equation.

17. 3x − 18 = 21
a. 3x = 3
b. 3x = 39
c. x − 18 = 7
d.x − 18 = 63

18. 8(x + 9) = 80
a. 8x = 71
b. 8x = 88
c. 8x + 9 = 80
d. x + 9 = 10

19. Which of the following replacement sets contain all solutions to the equation x(x − 12) = −20.
a. {0 and 12}
b. {10 and −4}
c. {2 and 10}
d. {−8 and −4}

Problems 20–21: Select the choice that best answers the question described.

20. During a yard sale, Jill buys a chair for $23, a bicycle for $46, a stereo for $87, a bed for $35, and a set of golf clubs for $124. Which expression below would calculate the total amount of money most easily using mental math?
a. 124 + 87 + 46 + 35 + 23
b. 23 + 46 + 87 + 35 + 124
c. (23 + 87) + (46 + 35) +124
d. (23 + 87) + (46 + 124) + 35

21. To prepare for a Halloween party, Dana buys two cartons of ice cream at $3.79 each, three pounds of apple at $0.89 per pound, four pounds of candy caramels at $2.19 per pound, six bags of miniature candy bars at $2.99 per bag, and a costume for $47.87. Which of the following is the best estimate for the money spent by Dana for this party?
a. 65
b. 90
c. 75
d. 85

22. Name the coordinates of the points graphed on the number line below.

a. {1, 2, 6, 8}
b. {6, 2, −1, −8}
c. {−6, −2, 1, 8}
d. {−6, −2, 0, 1, 3, 8}

23. Choose the integer described. "The opposite of negative twelve."
a.
b.
c. −12
d. 12

24. Arrange −2, 7, −5, 3, −1, −10, and 12 in order from least to greatest value.
a. −1, −2, 3, −5, 7, −10, 12
b. −10, −5, −2, −1, 3, 7, 12
c. −1, −2, −5, −10, 3, 7, 12
d. 12, 7, 3, −1, −2, −5, −10

25. Replace the comma with either < or > to make a true statement using |−23|, 0.
a. |−23| < 0
b. |−23| > 0

26. Write 7 × 7 ×7 ×7 ×7 in exponential form.
a. 53
b. 75
c. 7 × 5
d. 77

27. The radius of the earth is approximately 5,000,000 meters. Write 5,000,000 in scientific notation.
a. 5 × 610
b. 56
c. 5 × 106
d. 5 × 107

Problems 28–29: Use order of operations to simplify each expression.

28. 12 + 2 × 102 − 6 ÷ 2
a. 103
b. 53
c. 9797
d. 209

29. |−60| + 20 × 2 + 23
a. 106
b. −12
c. 168
d. 108

Problems 30–31: Given a = 3 and c = −1, find the value of each expression.

30. c + 2a2
a. 17
b. 19
c. 81
d. 35

31. c + (2a)2
a. 17
b. 19
c. 81
d. 35

Problems 32–33: Decide whether the expression is positive, negative, zero, or undefined.

32. (−1)6(23)(−18)(2)
a. positive
b. negative
c. zero
d. undefined

33.
a. positive
b. negative
c. zero
d. undefined

Problems 34–38: Evaluate each expression.

34. (−3) + (−18) + 30
a. 15
b. 45
c. 9
d. 51

35. −14 − (−12)
a. 2
b. 26
c. −26
d. −2

36. −15 • 4 + 12 ÷ (−3)
a. 16
b. −24
c. −64
d. 240

37. −500 ÷ |−4 + 9|
a.
b.
c. −100
d. 100

38

You really think someone is going to answer all these questions?
They are not challenging enough either!

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Single Family Property
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PGA National is a 2,340-acre resort golf community. As the home base of PGA National, this 4,900-home development offers the services and amenities of a luxury resort in the setting of an exclusive club.

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As opposed to newer buildings such as Panorama Towers, Mandarin Oriental at CityCenter, and Sky Las Vegas (where HVAC isn’t easily seen) it is interesting to see how older luxury high-rise condominium buildings such as Regency Tower were constructed.

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