Deck 1: Real Numbers and Their Basic Properties

Question 1

Write the following statement as a mathematical expression. Three is less than thirty-seven.

A)
B)
C)
D)
E)

Answer 1

Question 2

Give the definition of the symbol .

A) is less than or equal to
B) is not equal to
C) is greater than
D) is greater than or equal to
E) is less than

Answer 2

is less than

Question 3

The set of __________ numbers is { ... -3, -2, -1, 0, 1, 2, 3, ...}.

A) irrational
B) whole
C) integer
D) natural
E) negative

Answer 3

integer

Question 4

Perform the operation.

A)
B)
C)
D)
E) none of these

Question 5

Simplify the fraction to lowest terms.

A)
B)
C)
D)
E)

Question 6

Simplify the fraction to lowest terms.

A)
B)
C)
D)
E) Does not simplify further.

Question 7

Graph the set on the number line.

A)
B)
C)
D)
E)

Question 9

Determine the correct statement.

A)
B)
C)
D)
E)

Question 10

Find the quotient.

A)
B)
C)
D)
E)

Question 11

Find the value of the expression.

A) - 70
B) 70
C) 85
D) - 85
E) 0

Question 12

Perform the addition. Simplify the result when possible.

A)
B)
C)
D)
E)

Question 13

Evaluate the expression.

A) 14.3
B) 15.1
C) 11.6
D) 12.7
E) 16

Question 14

Complete the statement so that the indicated property is illustrated. Multiplicative inverse property: __________

A) 1
B) 0
C)
D) -1
E)

Question 15

Find the quotient.

A)
B)
C)
D)
E)

Question 16

Simplify the fraction to lowest terms.

A)
B)
C)
D)
E) Does not simplify further.

Question 17

List the numbers in the set that are natural numbers.

A)
B)
C)
D)
E)

Question 18

Write the statement with the inequality symbol pointing in the opposite direction.

A)
B)
C)
D)
E)

Question 19

Graph the set on the number line.

A)
B)
C)
D)
E)

Question 20

Graph the set on the number line.

A)
B)
C)
D)
E)

Question 21

Round the decimal to the nearest thousandth. 702.9524

A) 702.953
B) 702.952
C) 702.97
D) 702.9525
E) none of the above

Question 22

Simplify the expression.

A) 14
B) 38
C) 21
D) 17
E) 19

Question 23

Do the addition. Simplify the result when possible.

A)
B)
C)
D)
E)

Question 24

Simplify the numerical expression.

A)
B)
C)
D)
E)

Question 25

A rectangular parking lot is 255.5 feet long and 172.5 feet wide. A 55-gallon drum of asphalt sealer covers 4,000 square feet and costs $97.50. Find the cost to seal the parking lot. (Sealer can only be purchased in full drums.)

A) $780
B) $1,120
C) $1,365
D) $1,180
E) $1,170

Question 26

Perform the operation.

A)
B)
C)
D)
E)

Question 27

Simplify the numerical expression.

A)
B)
C)
D)
E)

Question 28

Evaluate the expression.

A) 9.5
B) 6
C) 10
D) -4
E) 3

Question 29

Simplify the numerical expression. 0.57 (0.2 + 0.8)

A) 0.6
B) 0.58
C) 0.57
D) 0.61
E) 0.55

Question 30

Round the following decimal to the nearest hundredth. 584.872

A) 585.0
B) 584.87
C) 584.873
D) 584.88
E) none of the above

Question 31

In tryouts for the Olympics, a speed skater had times of 44.82, 43.62, 42.64, and 42.29 seconds. Find the average time. ( Hint: Add the numbers and divide by 4.)

A) 42.64 sec
B) 44.34 sec
C) 173.36 sec
D) 57.79 sec
E) 43.34 sec

Question 32

Find the sum.

A)
B)
C)
D)
E)

Question 33

Divide.

A) 0.7
B) 1.3
C) 0.8
D) 1.8
E) 0.9

Question 34

The state sales tax rate in Utah is 4.75%. Find the sales tax on a dining room set that sells for $600.00.

A) $571.50
B) $285.00
C) $2.85
D) $315.00
E) $28.50

Question 35

Perform the addition. Simplify the result when possible.

A)
B)
C)
D)
E)

Question 36

Simplify the expression.

A)
B)
C)
D)
E)

Question 37

Find the difference.

A)
B)
C)
D)
E)

Question 38

Multiply.

A) 110.349
B) 102.429
C) -11.0349
D) -110.349
E) 11.0349

Question 39

Evaluate the expression.

A)
B)
C)
D)
E)

Question 40

Round the following decimal to the nearest tenth. 532.17

A) 532.1
B) 532.18
C) 532.2
D) 532.17
E) 532.3

Question 41

The temperature was 2 degrees at the beginning of the month and then dropped 8 degrees in the end of the month. What signed number represents the change in temperature that month?

A) +6
B) -6
C) +10
D) -10

Question 42

Use a calculator to subtract.

A) -60.447
B) -60.426
C) -60.327
D) -59.302
E) -60.427

Question 43

Multiply without using pencil and paper or a calculator.

A) 33,500
B) 335,000
C) 1,335
D) 435
E) 3,350

Question 44

Use a calculator to perform the operation.

A) 2.98565
B) 1.97565
C) 1.68565
D) 1.98565
E) 2.08565

Question 45

Mark deposited $470 in a new VISA account, then he had a dinner with his business partners and spent $83, and after that, he deposited another $219. Find the balance in Mark's account.

A) $168
B) $606
C) $334
D) $772

Question 46

Daniel has to spend $650 on school books in the next semester. He also owes $1200 in tuition. If he is awarded a scholarship that will pay $550 of the bill, how much will he still have to spend on school?

A) $1850
B) $1300
C) $100
D) $2400

Question 47

Add the following numbers.

A) 4.6
B) 8.6
C) 9.6
D) 8.7
E) 8.4

Question 48

Divide.

A)
B)
C)
D)
E)

Question 49

Multiply.

A) -167.62
B) -170.18
C) 16.762
D) 167.62
E) -16.762

Question 50

Use a calculator to evaluate the expression.

A) - 12.7
B) - 10.9
C) - 10.2
D) - 9.1
E) - 6.3

Question 51

To the nearest tenth, find the circumference and the area of the target. a = 8 in.

A) 50.3 in., 201.1 in. ²
B) 50.3 in., 402.1 in. ²
C) 25.1 in., 402.1 in. ²
D) 25.1 in., 201.1 in. ²

Question 52

Subtract.

A) -1,057
B) -957
C) -986
D) -956
E) -857

Question 53

Multiply and reduce your answer to lowest terms.

A)
B)
C) -1
D) 1
E)

Question 54

Perform the addition. Simplify the result when possible.

A)
B)
C)
D)
E)

Question 55

Subtract.

A) 7.6
B) 8.8
C) 7.8
D) 7.9
E) 6.8

Question 56

Add.

Question 57

Add.

A) 10
B) -12
C) -10
D) 12

Question 58

Add.

A) -115
B) -105
C) -125
D) -117
E) -116

Question 59

Find the sum.

A) 0.6
B) 1
C) 0.5
D) 0.8
E) 0.9

Question 60

Add.

Question 61

Give the number of terms in the algebraic expression and also give the numerical coefficient of the third term. 2 xyz - 10 xy - 49 yz

A) 3; -2
B) 3; -49
C) 3; 2
D) 3; 10

Question 62

Assume that and . Show that the expression represents a real number by finding the real-number answer.

A) - 7
B) 42
C) - 14
D) - 42
E) 7

Question 63

Assume that and . Show that the expression represents a real number by finding the real-number answer.

A) 17
B) - 21
C) - 38
D) 38
E) 21

Question 64

Give the number of terms in the algebraic expression and also give the numerical coefficient of the first term. -11 ab

A) 1; 0
B) 1; 11
C) 1; ab
D) 1; -11

Question 65

Use a calculator to evaluate the expression.

A) -757.2782
B) -0.0013205187
C) -757.3242
D) 758.1522

Question 66

Divide.

A)
B)
C)
D)
E)

Question 67

According to his weight-loss program, Jose has to loose 2 pounds in 10 days. What number describes his average weight change per day?

A) 0.1 pounds per day
B) 0.2 pounds per day
C) 5.0 pounds per day
D) 0.7 pounds per day
E) 0.3 pounds per day

Question 68

Divide and round to the nearest tenth.

A) -2.2
B) -1.8
C) -2.5
D) -2.4
E) -2.3

Question 69

Use a calculator to multiply the numbers. (-284.3) · (-479.542)

A) -136333.7906
B) 136333.7906
C) 763.842
D) -763.842

Question 70

Let y = and z = . Write the phrase as an algebraic expression, and evaluate it. z less than y

A)
B)
C)
D)
E)

Question 71

Evaluate the algebraic expression for the given value of the variable.

A)
B)
C)
D)
E)

Question 72

Give the number of terms in the algebraic expression and also give the numerical coefficient of the second term. -3 a + 30 b

A) 2; 30
B) 2; -3
C) 2; a
D) 2; b

Question 73

Evaluate the algebraic expression for the given values of the variables. 9( x - 4) - 5( x + 9), x = 4

A) 7
B) 25
C) -75
D) -65
E) 16

Question 74

Let x , y , and z represent three real numbers. Write an algebraic expression to denote the product of z , x , and y .

A)
B)
C)
D)
E)

Question 75

Use a calculator to divide the numbers. 149.435 ÷ (-64.45) ÷ 263.311

A) 0.880562941
B) 0.008805629
C) -0.008805629
D) -0.0000880563

Question 76

On Monday Lisa had $1,903 on her account. On Tuesday and Wednesday she deposited of $110 and $292. On Thursday she made a payment of $1,621. She decided to split the rest of the money equally between two different accounts. How much money did she put on each new account?

A) $342
B) $1,963
C) $684
D) $1,561

Question 77

A company with 20 million shares earns $1.6 million one year and loses $2.6 million the next year. Find the per-share income for two years.

A) $0.05 million
B) $1 million
C) -$0.05 million
D) -$1 million

Question 78

If , , and , evaluate the expression.

A)
B)
C)
D)
E)

Question 79

Assume that and . Show that the expression represents a real number by finding the real-number answer.

A) - 13
B) - 30
C) 13
D) 17
E) - 17

Question 80

Assume that and . Find the values of the two expressions. and

A) 71 and 71
B) 50 and 50
C) 68 and 74
D) 71 and 50
E) 50 and 71