Deck 2: Linear Equations and Inequalities in One Variable

Question 1

Choose the one alternative that best completes the statement or answers the question.
Find the value of the exponential expression.

-

A) 8
B) 5
C) 6
D) 4

Answer 1

8

Question 2

Choose the one alternative that best completes the statement or answers the question.
Find the value of the exponential expression.

-

A) 32
B) 256
C) 18
D) 512

Answer 2

256

Question 3

Choose the one alternative that best completes the statement or answers the question.
Find the value of the exponential expression.

-

A) 18
B) 5
C) 3 6
D) 729

Answer 3

729

Question 4

Choose the one alternative that best completes the statement or answers the question.
Find the value of the exponential expression.

-

A)
B)
C) 3
D)

Question 5

Choose the one alternative that best completes the statement or answers the question.
Find the value of the exponential expression.

-

A) 81
B) 0.0081
C) 0.075
D) 1.2

Question 6

Simplify.

-11 . 3 + 4 . 9

A) 693
B) 333
C) 429
D) 69

Question 7

Simplify.

-19.1 * 5.9 + 12.3 * 17.2

A) 5979.1
B) 2149.8
C) 4153.5
D) 324.25

Question 8

Simplify.

-240 ÷ 5 - 4

A) 240
B) 231
C) 239
D) 44

Question 9

Simplify.

-4² + 9²

A) 97
B) 26
C) 169
D) 52

Question 10

Simplify.

-19 + 21 * 27

A) 1080
B) 586
C) 67
D) 426

Question 11

Simplify.

-7* 3 - 5

A) 105
B) 14
C) 16
D) 26

Question 12

Simplify.

-5 * 9 - 7 * 5

A) 190
B) 10
C) 50
D) 1575

Question 13

Simplify.

-79 - 6 . 3 . 2

A) 43
B) 68
C) 438
D) 122

Question 14

Simplify.

- ÷ 9 - 7

A) 17
B) 108
C) 214
D) 27

Question 15

Simplify.

- . + .

A)
B)
C)
D)

Question 16

Find the value of the expression.

-6[ 6 + 4( )]

A) 3492
B) 5400
C) 32,400
D) 900

Question 17

Find the value of the expression.

-( 5 + 4)[ 4 + ( 5 + 6)]

A) 53
B) 680
C) 300
D) 135

Question 18

Find the value of the expression.

-

A)
B)
C)
D)

Question 19

Find the value of the expression.

-

A)
B)
C)
D)

Question 20

Find the value of the expression.

-7[ + 6( 2 + 8)]

A) 95
B) 2170
C) 315
D) 595

Question 21

Find the value of the expression.

-

A)
B)
C)
D)

Question 22

Find the value of the expression.

-https://d2lvgg3v3hfg70.cloudfront.net/TB9570/.

A)
B)
C)
D)

Question 23

Find the value of the expression.

-

A) 1
B)
C)
D)

Question 24

Determine whether the statement is true or false.

-2 $\le$ 14

Question 25

Determine whether the statement is true or false.

-3 $\ge$ 18

Question 26

Determine whether the statement is true or false.

-4 $\le$ 18 - 8

Question 27

Determine whether the statement is true or false.

- < 13

Question 28

Determine whether the statement is true or false.

-5² < 4² - 3²

Question 29

Determine whether the statement is true or false.

-( 8 + 7)[ 4 + ( 2 + 5)] < 132

Question 30

Determine whether the statement is true or false.

-2 . 6 - 6 . 9 $\le$ 0

Question 31

Determine whether the statement is true or false.

-9[ 6 + ( 6 - 4)] < 32

Question 32

Determine whether the statement is true or false.

- $\le$ 18

Question 33

Determine whether the statement is true or false.

- $\ge$ 2

Question 34

Write the statement in words and decide whether it is true or false.
-7 ≤ 9

Question 35

Write the statement in words and decide whether it is true or false.
-7 ≠ 8

Question 36

Write the statement in words and decide whether it is true or false.
-6 ≥ 3

Question 37

Write the statement in words and decide whether it is true or false.
-15 > 9 + 5

Question 38

Write the statement in words and decide whether it is true or false.
-11 ≤ 8 + 4

Question 39

Write the statement in words and decide whether it is true or false.
- ≠

Question 40

Write the statement in words and decide whether it is true or false.
- ≠

Question 41

Choose the one alternative that best completes the statement or answers the question.
Write the word statement in symbols.

-Fourteen is greater than six plus seven.

A) 14 < 6 + 7
B) 14 + 6 > 7
C) 6 + 7 > 14
D) 14 > 6 + 7

Question 42

Choose the one alternative that best completes the statement or answers the question.
Write the word statement in symbols.

-Six is less than or equal to six.

A) 6 > 6
B) 6 $\le$ 6
C) 6 $\ge$ 6
D) 6 < 6

Question 43

Choose the one alternative that best completes the statement or answers the question.
Write the word statement in symbols.

-Eight is not equal to nine.

A) 8 > 9
B) 8 $\neq$ 9
C) 8 < 9
D) 8 $\ge$ 9

Question 44

Choose the one alternative that best completes the statement or answers the question.
Write the word statement in symbols.

-Fifteen is less than or equal to seven plus nine.

A) 15 < 7 + 9
B) 15 + 7 $\ge$ 9
C) 7 + 9 $\le$ 15
D) 15 $\le$ 7 + 9

Question 45

Choose the one alternative that best completes the statement or answers the question.
Write the word statement in symbols.

-Six is equal to thirteen minus seven.

A) 13 = 6 - 7
B) 6 - 13 < 7
C) 6 = 13 - 7
D) 13 < 6 + 7

Question 46

Rewrite the statement so the inequality symbol points in the opposite direction.

-17 < 19

A) 19 > 17
B) 19 $\ge$ 17
C) 17 > 19
D) 19 < 17

Question 47

Rewrite the statement so the inequality symbol points in the opposite direction.

-25 > 6

A) 25 < 6
B) 6 > 25
C) 6 < 25
D) 25 $\ge$ 6

Question 48

Rewrite the statement so the inequality symbol points in the opposite direction.

-33 $\ge$ 1

A) 33 > 1
B) 1 $\ge$ 33
C) 33 $\le$ 1
D) 1 $\le$ 33

Question 49

Rewrite the statement so the inequality symbol points in the opposite direction.

-6 $\le$ 39

A) 39 $\ge$ 6
B) 39 $\le$ 6
C) 6 $\ge$ 39
D) 39 > 6

Question 50

Rewrite the statement so the inequality symbol points in the opposite direction.

-7. 8 3 $\ge$ 2. 4 7

A) 2. 4 7 $\ge$ 7. 8 3
B) 7. 8 3 < 2. 4 7
C) 2. 4 7 $\le$ 7. 8 3
D) 7. 8 3 $\le$ 2. 4 7

Question 51

Rewrite the statement so the inequality symbol points in the opposite direction.

-8) 7 8 < 8. 8 9

A) 8. 7 8 $\ge$ ? 8. 8 9
B) 8. 7 8 > 8. 8 9
C) 8. 8 9 > 8. 7 8
D) 8. 8 9 $\le$ 8. 7 8

Question 52

Provide an appropriate response.

-One way to measure a person's cardiofitness is to calculate how many METs, or metabolic units, he or she can reach at peak exertion. One MET is the amount of energy used when sitting quietly. To calculate ideal METs, we can use the expression:

Researchers recommend that a person reach approximately 85% of his or her MET when exercising. Calculate 85% of the ideal MET for a 55-yr-old woman. Then refer to the following table. What activity can the woman do that is approximately this value?

A) 6.418; Ballroom or square dancing
B) 7.55; Mowing lawn
C) 6.418; Skiing
D) 7.55; Cycling

Question 53

Provide an appropriate response.

-One way to measure a person's cardiofitness is to calculate how many METs, or metabolic units, he or she can reach at peak exertion. One MET is the amount of energy used when sitting quietly. To calculate ideal METs, we can use the expression:

Researchers recommend that a person reach approximately 85% of his or her MET when exercising. Calculate 85% of the ideal MET for a 55-yr-old woman. Then refer to the following table. What activity can the woman do that is approximately this value?

A) 8.65; Skiing
B) 7.353; Skiing
C) 7.353; Swimming
D) 8.65; Cycling

Question 54

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

Which counties have a figure greater than 14.7?

A) Addison, Branson, Cumberland, Kendall
B) Addison, Cumberland, Dixson, Kendall
C) Addison, Cumberland, Kendall
D) Addison, Branson, Cumberland

Question 55

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

Which counties have a figure greater than 12.5?

A) Addison, Branson, Cumberland, Kendall, Putnum
B) Addison, Branson, Cumberland, Dixson, Kendall, Putnum
C) Hendricks
D) Dixson, Hendricks

Question 56

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

Which counties have a figure greater than 16.7?

A) Kendall
B) Addison, Cumberland, Kendall
C) Addison, Branson, Dixson, Hendricks, Putnum
D) Cumberland, Kendall

Question 57

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

Which counties have a figure that is at most 14.7?

A) Addison, Cumberland, Kendall
B) Addison, Branson, Cumberland, Kendall
C) Dixson, Hendricks, Putnum
D) Branson, Dixson, Hendricks, Putnum

Question 58

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

Which counties have a figure that is at most 12.5?

A) Dixson, Hendricks
B) Addison, Branson, Cumberland, Kendall, Putnum
C) Addison, Branson, Cumberland, Dixson, Kendall, Putnum
D) Hendricks

Question 59

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

Which counties have a figure that is at most 16.7?

A) Branson, Dixson, Hendricks, Putnum
B) Addison, Cumberland, Kendall
C) Addison, Branson, Dixson, Hendricks, Putnum
D) Cumberland, Kendall

Question 60

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

For which counties are the values not less than 14.7?

A) Addison, Branson, Cumberland, Kendall
B) Branson, Dixson, Hendricks, Putnum
C) Dixson, Hendricks, Putnum
D) Addison, Cumberland, Kendall

Question 61

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

For which counties are the values not less than 12.5?

A) Addison, Branson, Cumberland, Dixson, Kendall, Putnum
B) Hendricks
C) Addison, Branson, Cumberland, Kendall, Putnum
D) Dixson, Hendricks

Question 62

Provide an appropriate response.

-The table shows the number of pupils per teacher in selected counties in a certain state.

For which counties are the values not less than 16.7?

A) Branson, Dixson, Hendricks, Putnum
B) Addison, Branson, Dixson, Hendricks, Putnum
C) Addison, Cumberland, Kendall
D) Cumberland, Kendall

Question 63

Answer the question as instructed.

-28⁴ means?

A) 28. 28 . 28 . 28 . 28
B) 28 ÷ 4
C) 28 . 28 . 28 . 28
D) 28 . 4

Question 64

Answer the question as instructed.

-Which of the following is the correct way to evaluate the expression 3 + 7 ? 4?

A) 3 + 7 . 4 = 10. 4 = 40
B) 3 + 7 . 4 = 12 + 28 = 40
C) 3 + 7 . 4 = 28 + 7 = 19
D) 3 + 7 . 4 = 3 + 28 = 31

Question 65

Answer the question as instructed.

-I n an inequality using > or <, the inequality symbol should point toward the smaller number for the inequality to be true.

Question 66

Answer the question as instructed.

-Which of the following statements is false?

A) 15 = 15
B) 15 $\ge$ 15
C) 15 $\le$ 15
D) 15 < 15

Question 67

Answer the question as instructed.

-Which of the following statements is true?

A) 8 < 4
B) 4 > 4
C) 4 $\neq$ 4
D) 8 > 4

Question 68

Answer the question as instructed.

-If Tony is lighter than Steve, then Tony's weight is Steve's weight.

A) less than or equal to
B) less than
C) greater than
D) greater than or equal to

Question 69

Answer the question as instructed.

-Which of the following is not a mathematical sentence?

A) 5 . 8 = 40
B) 5 . 8 + 40
C) 5 $\neq$ 13
D) 5 < 8

Question 70

Answer the question as instructed.

-Evaluate 1⁹.

A) 9¹
B) 9
C) 1
D)

Question 71

Answer the question as instructed.

-Using the rules for the order of operations, what should be done first when evaluating the expression

A) Add 7 + 10
B) Evaluate
C) Evaluate
D) Evaluate

Question 72

Find the numerical value of the expression forand a nd

-x + 5

A) a) 20 b) 90
B) a) 9 b) 23
C) a) 1 b) 13
D) a) 23 b)

Question 73

Find the numerical value of the expression forand a nd

-x - 3

A) a) 15 b) 1
B) a) 1 b) 15
C) a) 12 b) 54
D) a) 7 b) 21

Question 74

Find the numerical value of the expression forand a nd

-7x

A) a) 28 b) 126
B) a) 25 b) 11
C) a) 126 b) 28
D) a) 11 b) 25

Question 75

Find the numerical value of the expression forand a nd

-

A) a) 19/7 b) 5/7
B) a) 27/5 b) 7/19
C) a) 4/7 b) 18/7
D) a) 5/7 b) 19/7

Question 76

Find the numerical value of the expression forand a nd

-

A) a) -1/20 b) 3/10
B) a) -1/90 b) 3/10
C) a) 17/90 b) 1/2
D) a) 3/10 b) 1/20

Question 77

Find the numerical value of the expression forand a nd

-

A) a) 24/17 b) 10/3
B) a) 10/3 b) 24/17
C) a) 2/5 b) 12/19
D) a) 3/10 b) 1/20

Question 78

Find the numerical value of the expression forand a nd

-2x² + 4x

A) a) 16 b) 576
B) a) 32 b) 144
C) a) 48 b) 720
D) a) 24 b) 108

Question 79

Find the numerical value of the expression forand a nd

-0.61

A) a) 9.76 b) 197.64
B) a) 3.66 b) 15.86
C) a) 4.88 b) 15.86
D) a) 4.88 b) 21.96

Question 80

Evaluate the expression for the given values. If necessary, round to the nearest tenth.

-6x + 7y + 6; x = 0, y = 5

A) 41
B) 13
C) 36
D) 47