Deck 1: Solving Linear Equations and Inequalities

Question 1

Solve using the addition principle.
15 = -14 + a

A)-1
B)1
C)-29
D)29

Answer 1

29

Question 2

Determine whether it is true or false that the given number is a solution of the equation.
-14; 8(y - 4)= 144

Answer 2

False

Question 3

Determine whether it is true or false that the given number is a solution of the equation.
-7; 8x = -56.

Answer 3

True

Question 4

Determine whether it is true or false that the given number is a solution of the equation.
-3; 3x = -12.

Question 5

Solve using the addition principle.

A)
B)
C)1
D)

Question 6

Solve using the addition principle.
-27 = y - 52

A)25
B)-25
C)79
D)-79

Question 7

Solve using the addition principle.

A)
B)
C)
D)

Question 8

Solve using the addition principle.
s - 7 = 13

A)6
B)-20
C)20
D)-6

Question 9

Determine whether it is true or false that the given number is a solution of the equation.
-5; 8x - 4x = -64.

Question 10

Solve using the addition principle.
x + 3 = 9

A)-12
B)6
C)-6
D)12

Question 11

Determine whether it is true or false that the given number is a solution of the equation.
-4; 7x - 2 = -30.

Question 12

Determine whether it is true or false that the given number is a solution of the equation.

Question 13

Solve using the addition principle.
z - 4.87 = -12.8

A)-17.67
B)7.93
C)-7.93
D)17.67

Question 14

Solve using the addition principle.
-24.8 - x = 29.3

A)-4.5
B)4.5
C)54.1
D)-54.1

Question 15

Solve using the multiplication principle.
5x = 50

A)45
B)10
C)250
D)

Question 16

Determine whether it is true or false that the given number is a solution of the equation.
-8; 6x + 3x = -72.

Question 17

Determine whether it is true or false that the given number is a solution of the equation.

Question 18

Determine whether it is true or false that the given number is a solution of the equation.
20; 7(y - 7)= 91

Question 19

Solve using the addition principle.
-27 + z = -81

A)108
B)54
C)-54
D)-108

Question 20

Determine whether it is true or false that the given number is a solution of the equation.
6; -7x + 3 = -44.

Question 21

Solve using the addition and multiplication principles together.
-4y - 8 = 5 + 4y

A)
B)0
C)
D)

Question 22

Solve using the addition and multiplication principles together.
9n - 6 = 66

A)63
B)13
C)8
D)67

Question 23

Solve using the addition and multiplication principles together.

A)12
B)24
C)-12
D)-24

Question 24

Solve using the addition and multiplication principles together.
37(x - 148)= 74

A)146
B)74
C)150
D)148

Question 25

Solve using the addition and multiplication principles together.
199 = 11x + 12

A)176
B)6
C)180
D)17

Question 26

Solve using the addition and multiplication principles together.
7x + 9 = 51 + 7x

A)No Solution
B)All real numbers
C)39
D)35

Question 27

Solve using the multiplication principle.

A)
B)-7
C)-46.9
D)-46.2

Question 28

Solve using the multiplication principle.
-65 = -5n

A)-13
B)60
C)13
D)-60

Question 29

Solve using the addition and multiplication principles together.

A)1
B)3
C)14
D)10

Question 30

Solve using the addition and multiplication principles together.
65 = 10x - 5

A)7
B)60
C)11
D)64

Question 31

Solve using the multiplication principle.

A)1
B)
C)
D)

Question 32

Solve using the addition and multiplication principles together.
28 = 7x - 7

A)32
B)5
C)28
D)11

Question 33

Solve using the multiplication principle.

A)-84
B)-88
C)88
D)-26

Question 34

Solve using the addition and multiplication principles together.

A)21
B)-21
C)24
D)-24

Question 35

Solve using the multiplication principle.

A)-17
B)72
C)0
D)-18

Question 36

Solve using the multiplication principle.
-21.08 = -5.27w

A)15.81
B)4
C)-15.81
D)-4

Question 37

Solve using the multiplication principle.
-4b = 72

A)-76
B)1
C)-18
D)76

Question 38

Solve using the addition and multiplication principles together.
-5y + 2 = 6 - 2y

A)
B)
C)
D)

Question 39

Solve using the addition and multiplication principles together.

A)-7
B)-9
C)9
D)7

Question 40

Solve using the addition and multiplication principles together.

A)75
B)-150
C)-75
D)150

Question 41

Solve for the given letter.

A)
B)
C)
D)

Question 42

Solve using the addition and multiplication principles together.

A)
B)
C)
D)

Question 43

Solve using the addition and multiplication principles together.

A)-8
B)-1
C)
D)1

Question 44

Solve using the addition and multiplication principles together.
4(2z - 4)= 7(z + 5)

A)51
B)23
C)19
D)-19

Question 45

Solve for the given letter.

A)
B)
C)
D)

Question 46

Solve using the addition and multiplication principles together.
2x + 7(3x - 5)= -8 - 4x

A)
B)- 1
C)
D)1

Question 47

Solve using the addition and multiplication principles together.
2(y + 4)= 3(y - 4)

A)-20
B)4
C)-4
D)20

Question 48

Solve using the addition and multiplication principles together.
7x - (2x - 1)= 2

A)
B)
C)
D)

Question 49

Solve for the given letter.

A)
B)
C)
D)

Question 50

Solve for the given letter.
I = prt for r

A)
B)r = P - tI
C)
D)

Question 51

Solve for the given letter.

A)
B)
C)n = IR(Ir -E)
D)

Question 52

Solve using the addition and multiplication principles together.
15(5c - 7)= 9c - 9

A)
B)
C)
D)

Question 53

Solve for the given letter.
A = P(1 + nr)for n

A)
B)
C)
D)

Question 54

Solve for the given letter.

A)
B)
C)
D)

Question 55

Solve for the given letter.

A)
B)h = S - r
C)
D)

Question 56

Solve using the addition and multiplication principles together.
4(4x - 1)= 16

A)
B)
C)
D)

Question 57

Solve using the addition and multiplication principles together.
6(x + 2)- (6x + 12)= 0

A)0
B)2
C)No solution
D)All real numbers

Question 58

Solve for the given letter.

A)
B)
C)
D)

Question 59

Solve for the given letter.

A)
B)
C)
D)

Question 60

Solve for the given letter.
a + b = s + r for r

A)r = a + b - s
B)
C)r = s(a + b)
D)

Question 61

Solve the problem.
The area of a trapezoid of height h, small base b, and large base B is given by . Find the area of a trapezoid whose height is 8 m, small base is 13 m, and large base is 15 m.

A)
B)
C)
D)

Question 62

Solve the problem.
The number of daily calories K needed by a moderately active man who weighs w pounds, is h inches tall, and is y years old, can be estimated by the formula K = 19.18w + 7h - 9.52y + 92.4. Find the daily caloric need of a
Moderately active man weighing 214 lbs, who is 72 inches tall and 49 years old.

A)3669.68
B)4049.64
C)4234.44
D)3854.48

Question 63

Solve.
The difference between two positive integers is 20. One integer is three times as great as the other. Find the integers.

A)10 and 20
B)20 and 30
C)30 and 50
D)10 and 30

Question 64

Solve the problem.
The perimeter of a rectangle, P, is given by P = 2L + 2W, where L is its length and W is its width. What is the perimeter of a rectangle of length 10 ft and width 12 ft?

A)44 ft
B)22 ft
C)32 ft
D)88 ft

Question 65

Solve.
The sum of three consecutive even integers is 234. Find the integers.

A)71, 72, 73
B)80, 82, 84
C)78, 80, 82
D)76, 78, 80

Question 66

Solve.
The sum of two consecutive integers is -269. Find the larger integer.

A)-136
B)-134
C)-135
D)-133

Question 67

Solve the problem.
The amount of simple interest I generated by principal P, annual interest rate r, and time t in years is given by I = Prt. Find the interest if t = 7 years, P = $100, and r = 0.04.

A)$28.00
B)$1.12
C)$0.70
D)$112.00

Question 68

Solve for the given letter.

A)
B)
C)
D)

Question 69

Solve.
If three times the smaller of two consecutive integers is added to four times the larger, the result is 144. Find the smaller integer.

A)21
B)60
C)19
D)20

Question 70

Solve the problem.
The circumference of a circle is given by , where r is the radius. Find the circumference if and r = 3 feet.

A)21.98 feet
B)6 feet
C)118.32 feet
D)18.84 feet

Question 71

Solve.
The sum of three consecutive integers is 324. Find the integers.

A)106, 108, 110
B)106, 107, 108
C)107, 108, 109
D)108, 109, 110

Question 72

Solve the problem.
The surface area of a cylinder with height, h, and base radius, r, is given by . Using 3.14 for find the surface area of a cylinder with a radius of 2 cm and a height of 30 cm.

A)
B)
C)
D)

Question 73

Solve the problem.
The area of a trapezoid is 66 square feet. If its two bases are 8 and 14 feet, find its height.

A)3 ft
B)12 ft
C)6 ft
D)1.5 ft

Question 74

Solve the problem.
The area of a triangle is given by , where b is the length of its base and h is its height. Find the area of a triangle with height 16 m and base 6 m.

A)
B)
C)
D)

Question 75

Solve the problem.
The area of a square is given by where S is the length of a side. What is the area of a square with side 3.6 cm?

A)
B)
C)
D)

Question 76

Solve.
One-half of a number is 3 more than one-sixth the same number. What is the number?

A)12
B)9
C)8
D)18

Question 77

Solve.
Two pages that face each other in a book have 349 as the sum of their page numbers. What is the number of the page that comes first?

A)173
B)172
C)174
D)175

Question 78

Solve for the given letter.
4k + ar = r - 9y for r

A)
B)
C)
D)

Question 79

Solve for the given letter.

A)
B)
C)
D)

Question 80

Solve the problem.
A circle has a circumference of meters. Find the radius, r, of the circle.

A)8 m
B)48 m
C)12 m
D)24 m