Deck 7: Review of Solving Equations

Question 1

Solve the equation.

A)
B)
C)
D)
E) No solution

Answer 1

B

Question 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

Answer 2

A

Question 3

Solve the equation.

A) x = 13
B) x = 12
C) x = 16
D) x = 11
E) x = 14

Answer 3

C

Question 4

Solve the equation.

A) y = - 5
B) y = 3
C) y = - 2
D) y = 5
E) y = - 1

Question 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

Question 6

Solve the equation.

A)
B)
C)
D)
E)

Question 7

Solve the equation.

A)
B)
C)
D)
E)

Question 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

Question 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

Question 10

Solve the equation.

A)
B)
C)
D)
E)

Question 11

Solve the equation.

A)
B)
C)
D)
E) No solution

Question 12

Solve the equation.

A)
B)
C)
D)
E)

Question 13

Solve the equation.

A) m = - 1
B) m = 5
C) m = 1
D) m = 4
E) m = - 6

Question 14

Solve the equation.

A)
B)
C)
D)
E)

Question 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

Question 16

Solve the equation.

A)
B)
C)
D) All real numbers
E) No solution

Question 17

Solve the equation.

A) x = 9
B) x = 5
C) x = 1
D) x = 0
E) x = 3

Question 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

Question 19

Solve the equation.

A)
B)
C)
D)
E)

Question 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

Question 21

Solve the equation. x = __________

Question 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.

Question 23

Solve the equation. y = __________

Question 24

Solve the equation. x = __________

Question 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.

Question 26

Solve the equation. x = __________

Question 27

Solve the equation. x = __________

Question 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.

Question 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 = __________

Question 30

Solve the equation. x = __________

Question 31

Solve the equation. x = __________

Question 32

Solve the equation. x = __________

Question 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? $__________

Question 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

Question 35

Solve the equation. m = __________

Question 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? $__________

Question 37

Solve the equation. x = __________

Question 38

Solve the equation. x = __________

Question 39

Solve the equation.

Question 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

Question 41

Solve the equation.

Question 42

Solve the equation.

Question 43

Solve the equation.

Question 44

Solve the equation.

A)
B)
C)
D)
E)

Question 45

Solve the equation.

Question 46

Solve the equation.

A)
B)
C)
D)
E)

Question 47

Solve the equation.

A)
B)
C)
D) All real numbers
E)

Question 48

Solve the equation.

A)
B)
C)
D)
E)

Question 49

Solve the equation.

Question 50

The sum of the squares of two consecutive odd integers is 74. Find the two integers.

Question 51

Solve the equation.

Question 52

Solve the equation.

A)
B)
C)
D)
E)

Question 53

Solve the equation.

A)
B)
C)
D)
E)

Question 54

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

Question 55

Solve the equation.

Question 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?

Question 57

Solve the equation.

A)
B)
C)
D)
E)

Question 58

Solve the equation.

Question 59

Solve the equation.

A)
B)
C)
D) All real numbers
E)

Question 60

Solve the equation.

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

Question 61

Solve the equation. If impossible, write no solution.

Question 62

Solve the equation. If impossible, write no solution.

Question 63

Solve the equation. If impossible, write no solution .

Question 64

Solve the equation. If impossible, write no solution.

Question 65

Solve the equation. If impossible, write no solution.

Question 66

Solve the equation. If impossible, write no solution.

Question 67

Solve the equation. If impossible, write no solution.

Question 68

Solve the equation. If impossible, write no solution.

Question 69

Solve the equation. If impossible, write no solution.

Question 70

Solve the equation. If impossible, write no solution.

Question 71

Solve the equation. If impossible, write no solution.

Question 72

Solve the equation. If impossible, write no solution.

Question 73

Solve the inequality and graph the solution.

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

Question 74

Solve the equation. If impossible, write no solution.

Question 75

Solve the equation. If impossible, write no solution.

Question 76

Solve the equation. If impossible, write no solution.

Question 77

Solve the equation. If impossible, write no solution.

Question 78

Solve the equation. If impossible, write no solution.

Question 79

Solve the equation. If impossible, write no solution.

Question 80

Solve the equation. If impossible, write no solution.