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Algebra II G Review for Test 1 Lessons 1-1 through 1-4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Suppose r = –2, d = –8, and e = 1.Which expression
4. Which data set has mean 6.92?
equals –17?
a. 5.1, 8.3, 4.1, 6.4, 9.5 b. 5.4, 7.7, 9.3, 4.2, 7.1
a. 2r + 2d + 3e b. –8r + 3d + 2e c. 3r + 4d + 4e
c. 9.4, 8.1, 4.5, 6.6, 9.6 d. 6.1, 7.5, 7.3, 8.8, 4.9
d. 7r + 2d + 3e
5. An irrational number can ________ be expressed as
2. Which data set has mode 10?
a quotient of integers.
a. 14, 2, 37, 14, 10, 28 b. 12, 7, 11, 29, 10, 12
a. always b. sometimes c. never
c. 5, 10, 33, 33, 10, 10 d. 4, 18, 11, 17, 10, 11
6. If a = b, then a – c ____ equals b – c.
3. Which data set has median 47?
a. always b. sometimes c. never
a. 32, –3, 19, 8, 22 b. 37, 51, 55, 47, 27 c. 39,
7. A set of data ____ has one and only one mode.
30, 15, 21, 43 d. 14, 19, 3, –7, 27
a. always b. sometimes c. never
Short Answer
17. Solve bx + cy = d for x.
Simplify.
18. Evaluate y = (x + 2)(x – 5) for x = 6.
8.
19. Evaluate
9. –2 + (–3)
for r = 9 and h = 15.
Solve the equation.
10.
20.
11.
21.
Divide.
22.
12.
23.
13.
24.
14. Solve the proportion
15. If
16. Solve
.
25.
To which sets of numbers does the number
belong?
, what are n and p?
for Q.
27. –17
Find the opposite and the reciprocal of the
number.
26.
31.
Name the property of real numbers illustrated
by the equation.
28. 500
29. 3
30. –1.74
32.
Simplify by combining like terms.
33.
38.
34.
39.
35. –6  6 = 0
Solve the equation or formula for the indicated
variable.
36. –2.5  0 = –2.5
Evaluate the expression for the given value of
the variable(s).
37.
;
,
40.
, for t
41.
, for U
Find the mean, median, and mode of the data set. Round to the nearest tenth.
42. 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13
43. test scores on a math exam:
88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85
Make a box-and-whisker plot of the data.
44. 24, 18, 29, 21, 16, 23, 13, 11
45. average daily temperatures in Tucson, Arizona, in December:
67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63
Algebra II G Review for Test 1 Lessons 1-1 through 1-4
Answer Section
MULTIPLE CHOICE
1. ANS:
TOP:
2. ANS:
TOP:
3. ANS:
TOP:
4. ANS:
TOP:
5. ANS:
TOP:
6. ANS:
7. ANS:
A
OBJ: Simplifying Expressions With Integers
Skills Handbook: Simplifying Expressions With Integers
C
OBJ: Descriptive Statistics and Histograms
Skills Handbook: Descriptive Statistics and Histograms
B
OBJ: Descriptive Statistics and Histograms
Skills Handbook: Descriptive Statistics and Histograms
D
OBJ: Descriptive Statistics and Histograms
Skills Handbook: Descriptive Statistics and Histograms
C
OBJ: 1-1.1 Graphing and Ordering Real Numbers
1-1 Example 1
A
OBJ: 1-3.1 Solving Equations
B
OBJ: 12-3.1 Measures of Central Tendency
SHORT ANSWER
8. ANS:
25
24
OBJ: Operations With Fractions
9. ANS:
–5
TOP: Skills Handbook: Operations with Fractions
OBJ: Simplifying Expressions With Integers
TOP: Skills Handbook: Simplifying Expressions With Integers
10. ANS:
32
OBJ: Simplifying Expressions With Integers
TOP: Skills Handbook: Simplifying Expressions With Integers
11. ANS:
–5
OBJ: Simplifying Expressions With Integers
TOP: Skills Handbook: Simplifying Expressions With Integers
12. ANS:
4
3
OBJ: Operations With Fractions
13. ANS:
1
3
TOP: Skills Handbook: Operations With Fractions
OBJ: Operations With Fractions
14. ANS:
25
TOP: Skills Handbook: Operations With Fractions
OBJ: Ratios and Proportions
15. ANS:
45, 48
TOP: Skills Handbook: Ratios and Proportions
OBJ: Ratios and Proportions
16. ANS:
TOP: Skills Handbook: Ratios and Proportions
OBJ: Evaluating Formulas and Solving Literal Equations
TOP: Skills Handbook: Evaluating Formulas and Solving Literal Equations
17. ANS:
OBJ: Evaluating Formulas and Solving Literal Equations
TOP: Skills Handbook: Evaluating Formulas and Solving Literal Equations
18. ANS:
8
OBJ: Evaluating Formulas and Solving Literal Equations
TOP: Skills Handbook: Evaluating Formulas and Solving Literal Equations
19. ANS:
3,817.04
OBJ: Evaluating Formulas and Solving Literal Equations
TOP: Skills Handbook: Evaluating Formulas and Solving Literal Equations
20. ANS:
–8
OBJ: Solving Linear Equations and Inequalities
TOP: Skills Handbook: Solving Linear Equations and Inequalities
21. ANS:
4
OBJ: Solving Linear Equations and Inequalities
TOP: Skills Handbook: Solving Linear Equations and Inequalities
22. ANS:
5
OBJ: Solving Linear Equations and Inequalities
TOP: Skills Handbook: Solving Linear Equations and Inequalities
23. ANS:
17
OBJ: 1-3.1 Solving Equations
24. ANS:
TOP: 1-3 Example 1
OBJ: 1-3.1 Solving Equations
25. ANS:
2 1
2
TOP: 1-3 Example 1
OBJ: 1-3.1 Solving Equations
26. ANS:
irrational numbers, real numbers
TOP: 1-3 Example 2
OBJ: 1-1.1 Graphing and Ordering Real Numbers
27. ANS:
integers, rational numbers, real numbers
TOP: 1-1 Example 1
OBJ: 1-1.1 Graphing and Ordering Real Numbers
28. ANS:
TOP: 1-1 Example 1
–500,
OBJ: 1-1.2 Properties of Real Numbers
29. ANS:
3, 1
3
TOP: 1-1 Example 4
OBJ: 1-1.2 Properties of Real Numbers
30. ANS:
50
1.74, 
87
TOP: 1-1 Example 4
OBJ: 1-1.2 Properties of Real Numbers
31. ANS:
TOP: 1-1 Example 4
,
OBJ: 1-1.2 Properties of Real Numbers
32. ANS:
Distributive Property
TOP: 1-1 Example 4
OBJ: 1-1.2 Properties of Real Numbers
33. ANS:
Associative Property of Multiplication
TOP: 1-1 Example 5
OBJ: 1-1.2 Properties of Real Numbers
34. ANS:
TOP: 1-1 Example 5
Commutative Property of Multiplication
OBJ: 1-1.2 Properties of Real Numbers
35. ANS:
Inverse Property of Addition
TOP: 1-1 Example 5
OBJ: 1-1.2 Properties of Real Numbers
36. ANS:
Identity Property of Addition
TOP: 1-1 Example 5
OBJ: 1-1.2 Properties of Real Numbers
37. ANS:
–55
TOP: 1-1 Example 5
OBJ: 1-2.1 Evaluating Algebraic Expressions
38. ANS:
TOP: 1-2 Example 1
OBJ: 1-2.2 Simplifying Algebraic Expressions
39. ANS:
TOP: 1-2 Example 4
OBJ: 1-2.2 Simplifying Algebraic Expressions
40. ANS:
TOP: 1-2 Example 4
OBJ: 1-3.1 Solving Equations
41. ANS:
TOP: 1-3 Example 3
OBJ: 1-3.1 Solving Equations
42. ANS:
mean = 9.3, median = 10, mode = 13
TOP: 1-3 Example 3
OBJ: 12-3.1 Measures of Central Tendency
43. ANS:
mean = 75.8, median = 76.5, mode = 63
TOP: 12-3 Example 1
OBJ: 12-3.1 Measures of Central Tendency
44. ANS:
TOP: 12-3 Example 2
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
OBJ: 12-3.2 Box-and-Whisker Plots
45. ANS:
TOP: 12-3 Example 3
48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
OBJ: 12-3.2 Box-and-Whisker Plots
TOP: 12-3 Example 4