Deck 1: A Review of Basic Algebra

Question 1

Solve the inequality.

A)
B)
C)
D)
E)

Answer 1

Question 2

Solve the inequality. Graph the result.

A)
B)
C)
D)
E)

Answer 2

Question 3

The illustration below is a schematic diagram of a resistor connected to a voltage source of 40 volts. As a result, the resistor dissipates power in the form of heat. The power P lost when a voltage V is placed across a resistance R is given by the formula If P is 8 watts and E is 40 volts, find R .

A) R = 200 ohms
B) R = 300 ohms
C) R = 250 ohms
D) R = 180 ohms

Answer 3

R = 200 ohms

Question 4

Add.

A) -5
B) 4
C) 5
D) 0

Question 5

Add.

A) 0
B) 4
C) 1
D) -4

Question 7

Which of the given graphs is the solution of the following compound inequality? x ≥ 3 and x ≤ 5

A)
B)
C)
D) none of these

Question 8

Find the value of the expression.

A) - 45
B) 45
C) 75
D) - 75
E) 0

Question 9

Evaluate the expression.

A) 2.8
B) 2
C) 5.5
D) 4.4
E) 1.1

Question 10

Which of the given graphs is the solution of the following compound inequality? x ≥ 3 and x ≤ 5

A)
B)
C)
D) none of these

Question 11

List the numbers in the set that are natural numbers.

A)
B)
C)
D)
E)

Question 12

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

A)
B)
C)
D)
E)

Question 13

Simplify the expression.

A) 7
B) -3
C) 3
D) 5
E) -5

Question 14

Add.

A) 0
B) -19
C) -22
D) 19

Question 15

Solve the inequality.

A)
B)
C)
D)
E)

Question 16

Granville and Preston are 558 miles apart. A car leaves Preston bound for Granville at 49 mph. At the same time, another car leaves Granville bound for Preston at 44 mph. How long will it take them to meet?

A) 7 hr
B) 6 hr
C) 3 hr
D) 5 hr
E) 4 hr

Question 17

The set of __________ numbers is {1, 2, 3, 4, ... }.

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

Question 18

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

Question 19

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

A)
B)
C)
D)
E)

Question 20

Solve the inequality.

A)
B)
C)
D)
E)

Question 21

Find the median of the list of data. 10, 16, 21, 27, 37, 48

A) 10
B) 26
C) 23
D) 24
E) 25

Question 22

What property of addition is shown?

A) egalitarian
B) distributive
C) commutative
D) associative
E) additive

Question 23

Find the quotient.

A)
B)
C)
D)
E)

Question 24

Which property of addition guarantees that the quantities below are equal?

A) commutative
B) distributive
C) egalitarian
D) additive
E) associative

Question 25

Multiply.

A) 16,612,740
B) 16,613,740
C) 16,611,740
D) 18,613,740
E) 15,613,740

Question 26

Simplify the expression.

A) 22
B) 38
C) 33
D) 25
E) 29

Question 27

Simplify the rational expression.

A)
B)
C)
D)
E)

Question 28

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

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

Question 29

Evaluate the expression.

A) 11.5
B) 15
C) 12
D) 8
E) 10

Question 30

Divide.

A) 2
B) 3
C) 4
D) 6

Question 31

Evaluate the algebraic expression for the given values of the variables. 3 xy - x ² y ² + 3 y ², x = 5 and y = 1

A) -14
B) -4
C) -8
D) 3
E) -7

Question 32

Find the mode (if any) of the list of data. 11, 11, 18, 18, 11, 13, 18, 11

A) 11
B) 12
C) 13
D) 14
E) 10

Question 33

Find the mean of the list of data. 42, 66, 41, 39, 81, 57, 92, 102

A) 64
B) 63
C) 66
D) 65
E) 67

Question 34

Find the quotient.

A)
B)
C)
D)
E)

Question 35

Multiply.

A) -4,320
B) -4,490
C) -4,670
D) -4,310
E) -4,500

Question 36

Subtract.

A) 853
B) 953
C) 924
D) 954
E) 1,053

Question 37

Subtract.

A) 14.2
B) 15.4
C) 14.4
D) 14.5
E) 13.4

Question 38

Subtract:

A) 542
B) 588
C) 608
D) 914
E) 598

Question 39

Multiply.

A) 17
B) 72
C) 89
D) 9
E) 8

Question 40

Evaluate the expression.

A)
B)
C)
D)
E)

Question 41

Find the volume of the figure if a = 2 in., b = 2 in., c = 12 in., d = 6 in.

Question 42

The distance between two planets is approximately miles. Use scientific notation to express this distance in feet. (5,280 feet = 1 mile.)

A) ft
B) ft
C) ft
D) ft
E) ft

Question 43

Evaluate the expression.

A)
B)
C)
D)
E)

Question 44

Write the number in scientific notation.

A)
B) 8,490
C)
D)
E)

Question 45

Select the expression that completes the formula below.

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

Question 46

Write the number 79,000,000 in scientific notation.

A)
B)
C)
D)
E)

Question 47

Write the number in standard notation.

A) 0
B) 10
C) 2
D) 20
E) 200

Question 48

The distance from earth to a certain star outside our solar system is 26,200,000,000,000 miles. Express this number in scientific notation.

A) miles
B) miles
C) miles
D) miles
E) miles

Question 49

Use scientific notation and the rules for exponents to simplify the following expression. Express your answer in standard notation.

A) 2,075,000
B) 207,500
C) 2,075,000,000
D) 207,500,000
E) 20,750,000

Question 50

Simplify the numerical expression.

A)
B)
C)
D)
E)

Question 51

Find the volume of the figure if a = 16 cm, b = 5 cm. Use 3.14 for your estimation of pi, and round your answer to the nearest hundredth. __________ cm ³

Question 52

Write the number 0.00069 in scientific notation.

A)
B)
C)
D)
E)

Question 53

Evaluate the expression.

A)
B)
C)
D)
E)

Question 54

Write the number in standard notation.

A) 6.97
B) 69.7
C) 0.697
D) 0.00697
E) 69,700

Question 55

Find the volume of the figure to the nearest hundredth, if a = 96 in., b = 5 in. Assume that both cones have the same height, and use 3.14 as your estimation of pi. __________ in. ³

Question 56

Evaluate the expression.

A) 17.5
B) 12
C) 18
D) 8
E) 10

Question 57

Simplify the numerical expression.

A) 5
B)
C)
D)
E) 36

Question 58

Simplify the numerical expression.

A) 43,596
B) 59,655
C) -73
D) 216
E) 1,680,691,926

Question 59

Simplify the following algebraic expression and express your answer using positive exponents only.

A)
B)
C)
D)
E)

Question 60

Simplify the following algebraic expression and express your answer using positive exponents only.

A)
B)
C)
D)
E)

Question 61

Identify the like terms from the list below and add them.

Question 62

Simplify the following expression by combining like terms.

Question 63

Solve the equation.

A) 1
B) 9
C) 8
D) all reals
E) no solution

Question 64

Solve the equation.

A) t = 7
B) t = 9
C) t = 2
D) t = -5
E) t = 5

Question 65

Use a property of equality to solve the equation.

A)
B)
C)
D)
E)

Question 66

Solve the equation.

A) 2
B) 9
C) 1
D) no solution
E) all reals

Question 67

One light year is approximately miles. Use scientific notation to express this distance in feet. ( Hint: 5,280 feet = 1 mile.)

A) ft
B) ft
C) ft
D) ft
E) ft

Question 68

Light travels about meters per year. A light year is the distance that light can travel in one year. How many meters are in three seconds?

A) 900,000,000
B) 90,000,000
C) 9,000,000
D) 9,000,000,000

Question 69

Tell whether the given number is a solution of the equation.

A) unqualified solution
B) removed solution
C) solution
D) not a solution
E) none of these

Question 70

The Sun is about miles from Earth. Find this distance in kilometers.

A) 1,497,000,000
B) 14,970,000
C) 1,497,000
D) 149,700,000

Question 71

Solve the formula for the variable .

A)
B)
C)
D)
E)

Question 72

Tell whether the given number is a solution of the equation.

A) restricted solution
B) solution
C) not a solution
D) conflicting solution
E) none of these

Question 73

Use a property of equality to solve the equation.

A)
B)
C)
D)
E)

Question 74

Tell whether the number is a solution of the equation.

A) non-quantified solution
B) unequal solution
C) not a solution
D) solution
E) none of these

Question 75

Use a property of equality to solve the equation.

A) -147
B) - 152
C) - 153
D) - 137
E) - 144

Question 76

Solve the equation. 15 ( r + 2 ) = 12 ( r - 3 )

A) r = -20
B) r = -32
C) r = -27
D) r = -13
E) r = -22

Question 77

Solve the equation.

A) 1
B) 2
C) 6
D) all reals
E) no solution

Question 78

The Moon is about in. from Earth. Find this distance in kilometers.

A) 300,000
B) 3,781,960
C) 378,196
D) 37,820

Question 79

Solve the equation. 3( r - 3) + 4( r - 2) = -2( r - 6) + 10( r + 2)

A) r = -57
B) r = -54
C) r = -49
D) r = -46
E) r = -44

Question 80

Identify the terms of the expression.