Deck 7: Review of Solving Equations
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Deck 7: Review of Solving Equations
1
Solve the equation. 
A)
B)
C)
D)
E) No solution

A)

B)

C)

D)

E) No solution
B
2
Solve the equation. 
A) x = 0, x = 2
B) x = 0, x = 2, x = - 2
C) x = 0, x = - 2
D) x = 0
E) x = 2

A) x = 0, x = 2
B) x = 0, x = 2, x = - 2
C) x = 0, x = - 2
D) x = 0
E) x = 2
A
3
Solve the equation. 
A) x = 13
B) x = 12
C) x = 16
D) x = 11
E) x = 14

A) x = 13
B) x = 12
C) x = 16
D) x = 11
E) x = 14
C
4
Solve the equation. 
A) y = - 5
B) y = 3
C) y = - 2
D) y = 5
E) y = - 1

A) y = - 5
B) y = 3
C) y = - 2
D) y = 5
E) y = - 1
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5
Solve the equation. 
A) x = - 4, x = 2, x = - 2
B) x = 2, x = 4
C) x = 2, x = 4, x = - 4
D) x = - 4, x = 2
E) All real numbers

A) x = - 4, x = 2, x = - 2
B) x = 2, x = 4
C) x = 2, x = 4, x = - 4
D) x = - 4, x = 2
E) All real numbers
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6
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Solve the equation. 
A) x = 1, x = 9
B) x = 1, x = 3
C) x = 9, x = - 9
D) x = 1, x = 9, x = - 9
E) No solution

A) x = 1, x = 9
B) x = 1, x = 3
C) x = 9, x = - 9
D) x = 1, x = 9, x = - 9
E) No solution
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9
Solve the equation. 2 x - 6 = 2( x + 7)
A) x = 6
B) x = 7, x = - 6
C) x = 7
D) All real numbers
E) No solution
A) x = 6
B) x = 7, x = - 6
C) x = 7
D) All real numbers
E) No solution
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10
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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11
Solve the equation. 
A)
B)
C)
D)
E) No solution

A)

B)

C)

D)

E) No solution
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12
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
Solve the equation. 
A) m = - 1
B) m = 5
C) m = 1
D) m = 4
E) m = - 6

A) m = - 1
B) m = 5
C) m = 1
D) m = 4
E) m = - 6
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14
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
Solve the equation. 
A) x = - 5, x = - 1
B) x = 0, x = - 1, x = - 4
C) x = 5, x = - 1
D) x = 0, x = - 5, x = - 4
E) x = 0, x = 1, x = 4

A) x = - 5, x = - 1
B) x = 0, x = - 1, x = - 4
C) x = 5, x = - 1
D) x = 0, x = - 5, x = - 4
E) x = 0, x = 1, x = 4
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16
Solve the equation. 
A)
B)
C)
D) All real numbers
E) No solution

A)

B)

C)

D) All real numbers
E) No solution
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17
Solve the equation. 
A) x = 9
B) x = 5
C) x = 1
D) x = 0
E) x = 3

A) x = 9
B) x = 5
C) x = 1
D) x = 0
E) x = 3
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18
Solve the equation. 
A) x = - 2, x = 3
B) x = - 2, x = - 4
C) x = - 3, x = 2
D) x = 4, x = - 3
E) No solution

A) x = - 2, x = 3
B) x = - 2, x = - 4
C) x = - 3, x = 2
D) x = 4, x = - 3
E) No solution
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19
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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20
Solve the equation. 
A) x = - 7, x = 8
B) x = 8
C) x = 1, x = - 8
D) x = 1, x = - 1, x = - 8
E) x = 7

A) x = - 7, x = 8
B) x = 8
C) x = 1, x = - 8
D) x = 1, x = - 1, x = - 8
E) x = 7
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21
Solve the equation.
x = __________

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22
A garden is in the shape of a square with a perimeter of 34 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence, as the figure indicates. If the material used to build the two fences is $1.85 per foot, what was the total cost of the fences? 
A) The total cost of the fences was $77.70.
B) The total cost of the fences was $140.60.
C) The total cost of the fences was $155.40.
D) The total cost of the fences was $154.34.
E) The total cost of the fences was $92.50.

A) The total cost of the fences was $77.70.
B) The total cost of the fences was $140.60.
C) The total cost of the fences was $155.40.
D) The total cost of the fences was $154.34.
E) The total cost of the fences was $92.50.
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23
Solve the equation.
y = __________

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24
Solve the equation.
x = __________

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25
A woman owns a small, cash-only business in a state that requires her to charge 6% sales tax on each item she sells. At the beginning of the day, she has $100 in the cash register. At the end of the day, she has $736 in the register. How much money should she send to the state government for the sales tax she collected?
A) She should send $44.16.
B) She should send $38.16.
C) She should send $50.16.
D) She should send $35.
E) She should send $36.
A) She should send $44.16.
B) She should send $38.16.
C) She should send $50.16.
D) She should send $35.
E) She should send $36.
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26
Solve the equation.
x = __________

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27
Solve the equation.
x = __________

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28
A person's training heart rate, in beats per minute, is the person's resting heart rate plus 60% of the difference between maximum heart rate and their resting heart rate. If resting heart rate is R and maximum heart rate is M , then the formula that gives training heart rate is T = R + 0.6( M - R ) In exercise physiology, a person's maximum heart rate, in beats per minute, is found by subtracting his age in years from 220. So, if A represents your age in years, then your maximum heart rate is M = 220 - A Use these formulas to find training heart rate for a 28-year-old person with resting heart rate of 64 beats per minute.
A) Training heart rate is 137 beats per minute.
B) Training heart rate is 141 beats per minute.
C) Training heart rate is 104 beats per minute.
D) Training heart rate is 160 beats per minute.
E) Training heart rate is 218 beats per minute.
A) Training heart rate is 137 beats per minute.
B) Training heart rate is 141 beats per minute.
C) Training heart rate is 104 beats per minute.
D) Training heart rate is 160 beats per minute.
E) Training heart rate is 218 beats per minute.
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29
Solve the equation.
If there is more than one solution, separate your answers with commas. If there is no solution, enter no solution . If the answer is all real numbers, enter all reals . x = __________

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30
Solve the equation.
x = __________

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31
Solve the equation.
x = __________

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32
Solve the equation.
x = __________

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33
A garden is in the shape of a square with a perimeter of 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence, as the figure indicates. If the material used to build the two fences is $1.84 per foot, what was the total cost of the fences?
$__________

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34
The length of a rectangle is 5 times the width. The perimeter is 60 inches. Find the dimensions.
A) 4 inches by 26 inches
B) 4 inches by 16 inches
C) 6 inches by 24 inches
D) 5 inches by 25 inches
E) 4 inches by 20 inches
A) 4 inches by 26 inches
B) 4 inches by 16 inches
C) 6 inches by 24 inches
D) 5 inches by 25 inches
E) 4 inches by 20 inches
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35
Solve the equation.
m = __________

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36
A woman owns a small, cash-only business in a state that requires her to charge 6% sales tax on each item she sells. At the beginning of the day, she has $250 in the cash register. At the end of the day, she has $1,098 in the register. How much money should she send to the state government for the sales tax she collected during the day? $__________
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37
Solve the equation.
x = __________

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38
Solve the equation.
x = __________

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39
Solve the equation. 

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40
Solve the equation. 5 x - 45 = 5( x - 9)
A) x = - 5, x = 9
B) x = 9
C) x = 5
D) All numbers
E) No solution
A) x = - 5, x = 9
B) x = 9
C) x = 5
D) All numbers
E) No solution
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41
Solve the equation. 

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42
Solve the equation. 

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43
Solve the equation. 

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44
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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45
Solve the equation. 

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46
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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47
Solve the equation. 
A)
B)
C)
D) All real numbers
E)

A)

B)

C)

D) All real numbers
E)

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48
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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49
Solve the equation. 

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50
The sum of the squares of two consecutive odd integers is 74. Find the two integers.
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51
Solve the equation. 

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52
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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53
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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54
The length of a rectangle is 5 times the width. The perimeter is 60 inches. Find the dimensions. length = __________ width = __________
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55
Solve the equation. 

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56
Amtrak s annual passenger revenue for the years 1985-1995 is modeled approximately by the formula
where R is the annual revenue in millions of dollars and x is the number of years since January 1, 1980 (Association of American Railroads, Washington, DC, Railroad Facts, Statistics of Railroads of Class 1, annual). In what years was the passenger revenue $722 million?

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57
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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58
Solve the equation. 

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59
Solve the equation. 
A)
B)
C)
D) All real numbers
E)

A)

B)

C)

D) All real numbers
E)

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60
Solve the equation. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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61
Solve the equation. If impossible, write no solution. 

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62
Solve the equation. If impossible, write no solution. 

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63
Solve the equation. If impossible, write no solution . 

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64
Solve the equation. If impossible, write no solution. 

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65
Solve the equation. If impossible, write no solution. 

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66
Solve the equation. If impossible, write no solution. 

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67
Solve the equation. If impossible, write no solution. 

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68
Solve the equation. If impossible, write no solution. 

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69
Solve the equation. If impossible, write no solution. 

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70
Solve the equation. If impossible, write no solution. 

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71
Solve the equation. If impossible, write no solution. 

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72
Solve the equation. If impossible, write no solution. 

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73
Solve the inequality and graph the solution. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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74
Solve the equation. If impossible, write no solution. 

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75
Solve the equation. If impossible, write no solution. 

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76
Solve the equation. If impossible, write no solution. 

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77
Solve the equation. If impossible, write no solution. 

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78
Solve the equation. If impossible, write no solution. 

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79
Solve the equation. If impossible, write no solution. 

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80
Solve the equation. If impossible, write no solution. 

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