Deck 1: Solving Linear Equations and Inequalities
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Deck 1: Solving Linear Equations and Inequalities
1
Solve using the addition principle.
15 = -14 + a
A)-1
B)1
C)-29
D)29
15 = -14 + a
A)-1
B)1
C)-29
D)29
29
2
Determine whether it is true or false that the given number is a solution of the equation.
-14; 8(y - 4)= 144
-14; 8(y - 4)= 144
False
3
Determine whether it is true or false that the given number is a solution of the equation.
-7; 8x = -56.
-7; 8x = -56.
True
4
Determine whether it is true or false that the given number is a solution of the equation.
-3; 3x = -12.
-3; 3x = -12.
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5
Solve using the addition principle.

A)
B)
C)1
D)

A)

B)

C)1
D)

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6
Solve using the addition principle.
-27 = y - 52
A)25
B)-25
C)79
D)-79
-27 = y - 52
A)25
B)-25
C)79
D)-79
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7
Solve using the addition principle.

A)
B)
C)
D)

A)

B)

C)

D)

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8
Solve using the addition principle.
s - 7 = 13
A)6
B)-20
C)20
D)-6
s - 7 = 13
A)6
B)-20
C)20
D)-6
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9
Determine whether it is true or false that the given number is a solution of the equation.
-5; 8x - 4x = -64.
-5; 8x - 4x = -64.
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10
Solve using the addition principle.
x + 3 = 9
A)-12
B)6
C)-6
D)12
x + 3 = 9
A)-12
B)6
C)-6
D)12
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11
Determine whether it is true or false that the given number is a solution of the equation.
-4; 7x - 2 = -30.
-4; 7x - 2 = -30.
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12
Determine whether it is true or false that the given number is a solution of the equation.


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13
Solve using the addition principle.
z - 4.87 = -12.8
A)-17.67
B)7.93
C)-7.93
D)17.67
z - 4.87 = -12.8
A)-17.67
B)7.93
C)-7.93
D)17.67
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14
Solve using the addition principle.
-24.8 - x = 29.3
A)-4.5
B)4.5
C)54.1
D)-54.1
-24.8 - x = 29.3
A)-4.5
B)4.5
C)54.1
D)-54.1
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15
Solve using the multiplication principle.
5x = 50
A)45
B)10
C)250
D)
5x = 50
A)45
B)10
C)250
D)

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16
Determine whether it is true or false that the given number is a solution of the equation.
-8; 6x + 3x = -72.
-8; 6x + 3x = -72.
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17
Determine whether it is true or false that the given number is a solution of the equation.


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18
Determine whether it is true or false that the given number is a solution of the equation.
20; 7(y - 7)= 91
20; 7(y - 7)= 91
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19
Solve using the addition principle.
-27 + z = -81
A)108
B)54
C)-54
D)-108
-27 + z = -81
A)108
B)54
C)-54
D)-108
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20
Determine whether it is true or false that the given number is a solution of the equation.
6; -7x + 3 = -44.
6; -7x + 3 = -44.
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21
Solve using the addition and multiplication principles together.
-4y - 8 = 5 + 4y
A)
B)0
C)
D)
-4y - 8 = 5 + 4y
A)

B)0
C)

D)

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22
Solve using the addition and multiplication principles together.
9n - 6 = 66
A)63
B)13
C)8
D)67
9n - 6 = 66
A)63
B)13
C)8
D)67
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23
Solve using the addition and multiplication principles together.

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

A)12
B)24
C)-12
D)-24
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24
Solve using the addition and multiplication principles together.
37(x - 148)= 74
A)146
B)74
C)150
D)148
37(x - 148)= 74
A)146
B)74
C)150
D)148
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25
Solve using the addition and multiplication principles together.
199 = 11x + 12
A)176
B)6
C)180
D)17
199 = 11x + 12
A)176
B)6
C)180
D)17
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26
Solve using the addition and multiplication principles together.
7x + 9 = 51 + 7x
A)No Solution
B)All real numbers
C)39
D)35
7x + 9 = 51 + 7x
A)No Solution
B)All real numbers
C)39
D)35
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27
Solve using the multiplication principle.

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

A)

B)-7
C)-46.9
D)-46.2
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28
Solve using the multiplication principle.
-65 = -5n
A)-13
B)60
C)13
D)-60
-65 = -5n
A)-13
B)60
C)13
D)-60
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29
Solve using the addition and multiplication principles together.

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

A)1
B)3
C)14
D)10
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30
Solve using the addition and multiplication principles together.
65 = 10x - 5
A)7
B)60
C)11
D)64
65 = 10x - 5
A)7
B)60
C)11
D)64
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31
Solve using the multiplication principle.

A)1
B)
C)
D)

A)1
B)

C)

D)

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32
Solve using the addition and multiplication principles together.
28 = 7x - 7
A)32
B)5
C)28
D)11
28 = 7x - 7
A)32
B)5
C)28
D)11
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33
Solve using the multiplication principle.

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

A)-84
B)-88
C)88
D)-26
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34
Solve using the addition and multiplication principles together.

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

A)21
B)-21
C)24
D)-24
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35
Solve using the multiplication principle.

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

A)-17
B)72
C)0
D)-18
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36
Solve using the multiplication principle.
-21.08 = -5.27w
A)15.81
B)4
C)-15.81
D)-4
-21.08 = -5.27w
A)15.81
B)4
C)-15.81
D)-4
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37
Solve using the multiplication principle.
-4b = 72
A)-76
B)1
C)-18
D)76
-4b = 72
A)-76
B)1
C)-18
D)76
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38
Solve using the addition and multiplication principles together.
-5y + 2 = 6 - 2y
A)
B)
C)
D)
-5y + 2 = 6 - 2y
A)

B)

C)

D)

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39
Solve using the addition and multiplication principles together.

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

A)-7
B)-9
C)9
D)7
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40
Solve using the addition and multiplication principles together.

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

A)75
B)-150
C)-75
D)150
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41
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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42
Solve using the addition and multiplication principles together.

A)
B)
C)
D)

A)

B)

C)

D)

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43
Solve using the addition and multiplication principles together.

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

A)-8
B)-1
C)

D)1
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44
Solve using the addition and multiplication principles together.
4(2z - 4)= 7(z + 5)
A)51
B)23
C)19
D)-19
4(2z - 4)= 7(z + 5)
A)51
B)23
C)19
D)-19
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45
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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46
Solve using the addition and multiplication principles together.
2x + 7(3x - 5)= -8 - 4x
A)
B)- 1
C)
D)1
2x + 7(3x - 5)= -8 - 4x
A)

B)- 1
C)

D)1
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47
Solve using the addition and multiplication principles together.
2(y + 4)= 3(y - 4)
A)-20
B)4
C)-4
D)20
2(y + 4)= 3(y - 4)
A)-20
B)4
C)-4
D)20
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48
Solve using the addition and multiplication principles together.
7x - (2x - 1)= 2
A)
B)
C)
D)
7x - (2x - 1)= 2
A)

B)

C)

D)

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49
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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50
Solve for the given letter.
I = prt for r
A)
B)r = P - tI
C)
D)
I = prt for r
A)

B)r = P - tI
C)

D)

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51
Solve for the given letter.

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

A)

B)

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

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52
Solve using the addition and multiplication principles together.
15(5c - 7)= 9c - 9
A)
B)
C)
D)
15(5c - 7)= 9c - 9
A)

B)

C)

D)

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53
Solve for the given letter.
A = P(1 + nr)for n
A)
B)
C)
D)
A = P(1 + nr)for n
A)

B)

C)

D)

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54
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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55
Solve for the given letter.

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

A)

B)h = S - r
C)

D)

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56
Solve using the addition and multiplication principles together.
4(4x - 1)= 16
A)
B)
C)
D)
4(4x - 1)= 16
A)

B)

C)

D)

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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
6(x + 2)- (6x + 12)= 0
A)0
B)2
C)No solution
D)All real numbers
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58
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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59
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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60
Solve for the given letter.
a + b = s + r for r
A)r = a + b - s
B)
C)r = s(a + b)
D)
a + b = s + r for r
A)r = a + b - s
B)

C)r = s(a + b)
D)

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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)
The area of a trapezoid of height h, small base b, and large base B is given by

A)

B)

C)

D)

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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
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
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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
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
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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
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
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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
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
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66
Solve.
The sum of two consecutive integers is -269. Find the larger integer.
A)-136
B)-134
C)-135
D)-133
The sum of two consecutive integers is -269. Find the larger integer.
A)-136
B)-134
C)-135
D)-133
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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
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
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68
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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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
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
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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
The circumference of a circle is given by


A)21.98 feet
B)6 feet
C)118.32 feet
D)18.84 feet
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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
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
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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)
The surface area of a cylinder with height, h, and base radius, r, is given by


A)

B)

C)

D)

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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
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
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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)
The area of a triangle is given by

A)

B)

C)

D)

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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)
The area of a square is given by

A)

B)

C)

D)

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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
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
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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
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
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78
Solve for the given letter.
4k + ar = r - 9y for r
A)
B)
C)
D)
4k + ar = r - 9y for r
A)

B)

C)

D)

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79
Solve for the given letter.

A)
B)
C)
D)

A)

B)

C)

D)

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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
A circle has a circumference of


A)8 m
B)48 m
C)12 m
D)24 m
Unlock Deck
Unlock for access to all 206 flashcards in this deck.
Unlock Deck
k this deck