Deck 1: Equations and Inequalities

Question 1

Solve the equation.
-7x + 7 + 5x = -2x + 12

A)no solution
B){5}
C){-7}
D)all real numbers

Answer 1

no solution

Question 2

Solve the equation.

A)
B)
C)
D)

Answer 2

Question 3

Solve the equation.

A)
B)
C)
D)

Answer 3

Question 4

Solve the equation.

A){-6}
B){6}
C){4}
D){-4}

Question 5

Solve the equation.

A){10}
B){-10}
C){6}
D){-6}

Question 6

Solve the equation.

A)
B)
C)
D)

Question 7

Solve the equation.
9x - (4x - 1)= 2

A)
B)
C)
D)

Question 8

Solve the equation.
11x = -10 +

A){-10}
B){10}
C){-9}
D){0}

Question 9

Solve the equation.
13(9x - 4)= 5x - 4

A)
B)
C)
D)

Question 10

Solve the equation.

A){-5}
B){5}
C){-8}
D){8}

Question 11

Solve the equation.
6(x + 5)= 7x - (3 - x)

A)
B)
C)
D)

Question 12

Solve the equation.
6(4x - 1)= 24

A)
B)
C)
D)

Question 13

Solve the equation.

A){-5}
B){5}
C){3}
D){-3}

Question 14

Solve the equation.
6(x + 7)= (6x + 42)

A)all real numbers
B){84}
C){0}
D)no solution

Question 15

Solve the equation.
5(2x - 5)= 9(x + 3)

A){52}
B){-2}
C){-52}
D){7}

Question 16

Solve the equation.

A){1}
B){-1}
C){4}
D){-4}

Question 17

Solve the equation.
6x - 4 + 7(x + 1)= -5x - 7

A)
B)1
C)
D){-5}

Question 18

Solve the equation.

A)2
B)
C)
D)

Question 19

Solve the equation.
3(x + 3)= 4(x - 5)

A){29}
B){-29}
C){-11}
D){4}

Question 20

Solve the equation.

A){-8}
B){8}
C){-9}
D){9}

Question 21

Solve the equation.

A){-11}
B){11}
C){-13}
D){13}

Question 22

Solve the equation.

A){12}
B){-122}
C){10.3}
D){10.5}

Question 23

Solve the equation.

A)
B)
C){8}
D){-4}

Question 24

Solve the equation.

A)4
B){2}
C){8}
D)

Question 25

Solve the equation.
(x + 8)(x - 1)=

A)
B)
C)
D){9}

Question 26

Solve the equation.

A){5}
B){-5}
C){2}
D){-2}

Question 27

Solve the equation.
x(1 + 3x)= (3x - 1)(x - 3)

A)
B)
C)
D)

Question 28

Solve the equation.

A)
B)
C)
D)

Question 29

Solve the equation.

A)
B)
C)
D)

Question 30

Solve the equation.

A){1}
B){-3}
C){-1}
D){3}

Question 31

Solve the equation.

A)
B)
C)
D)

Question 32

Solve the equation.

A)
B){-5}
C)
D)no solution

Question 33

Solve the equation.

A)1
B)- 1
C)
D)

Question 34

Solve the equation.
x(7x - 1)= (7x + 1)(x - 3)

A)
B)
C)
D){2}

Question 35

Solve the equation.

A)
B)
C)
D)

Question 36

Solve the equation.

A)
B)
C){-4}
D)

Question 37

Solve the equation.

A)
B)
C)
D)

Question 38

Solve the equation.

A){45}
B){-45}
C){90}
D){-90}

Question 39

Solve the equation.

A)
B)
C)
D)

Question 40

Solve the equation.

A)
B)
C)
D)

Question 41

Solve the problem.
An auto repair shop charged a customer $532 to repair a car. The bill listed $92 for parts and the remainderfor labor. If the cost of labor is $55 per hour, how many hours of labor did it take to repair the car?

A)8 hr
B)7 hr
C)9 hr
D)8.5 hr

Question 42

Solve the equation. The letters a, b, and c are constants.
ax - b = c, a

A)
B)
C)
D)

Question 43

Solve the equation.

A)
B)
C)
D)

Question 44

Solve the equation.

A)
B)
C)
D)

Question 45

Solve the problem.
Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. Ifthe combined capacity for the two garages is 1,223 cars, find the capacity for each garage.

A)Center City East: 738 cars Center City West: 485 cars
B)Center City East: 485 cars Center City West: 738 cars
C)Center City East: 748 cars Center City West: 475 cars
D)Center City East: 475 cars Center City West: 748 cars

Question 46

Solve the formula for the indicated variable.
PV = nRT for T

A)
B)
C)
D)

Question 47

Solve the problem.
It costs $19 per hour plus a flat fee of $32 for a plumber to make a house call. After writing an equation forthis situation, suppose the total cost to have a plumber come to a house is $203. How many hours did theplumber work?

A)9 hr
B)5 hr
C)20 hr
D)16 hr

Question 48

Solve the problem.
During an intramural basketball game, Team A scored 16 fewer points than Team B. Together, both teamsscored a total of 148 points. How many points did Team A score during the game?

A)66 points
B)82 points
C)67 points
D)74 points

Question 49

Solve the problem.
Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has.Together they have 135 foreign coins. Find how many coins Mary has.

A)90 coins
B)45 coins
C)18 coins
D)81 coins

Question 50

Solve the formula for the indicated variable.

A)
B)
C)
D)

Question 51

Solve the formula for the indicated variable.

A)
B)
C)
D)

Question 52

Solve the formula for the indicated variable.

A)
B)
C)P
D)

Question 53

Solve the equation. The letters a, b, and c are constants.

A)
B)
C)
D)

Question 54

Solve the equation. The letters a, b, and c are constants.

A)
B)x = abc
C)
D)

Question 55

Solve the problem.
Going into the final exam, which will count as three tests, Jerome has test scores of 61, 72, 59, 75, and 77.What score does Jerome need on the final in order to earn a C, which requires an average of 70?

A)72
B)75
C)70
D)79

Question 56

Solve the problem.
A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 51 inches more than thewidth. What are the dimensions of the carpet?

A)74 in. by 23 in.
B)74 in. by 97 in.
C)60 in. by 83 in.
D)85.5 in. by 97 in.

Question 57

Solve the problem.
Inclusive of a 6.3% sales tax, a diamond ring sold for $3,082.70. Find the price of the ring before the taxwas added. (Round to the nearest cent, if necessary.)

A)$2,900
B)$3,276.91
C)$2,888.49
D)$194.21

Question 58

Solve the formula for the indicated variable.

A)
B)
C)
D)

Question 59

Solve the equation.

A){-13}
B){13}
C){5}
D){52}

Question 60

Solve the problem.
After a 13% price reduction, a boat sold for $25,230. What was the boatʹs price before the reduction?(Round to the nearest cent, if necessary.)

A)$29,000
B)$3,279.90
C)$194,076.92
D)$28,509.90

Question 61

Write the word or phrase that best completes each statement or answers the question.

A)
B)
C)
D)

Question 62

Write the word or phrase that best completes each statement or answers the question.
- 126x + 49 = 0

A)
B)
C)
D)

Question 63

Solve the problem.
It costs $20 per hour plus a flat fee of $29 for a plumber to make a house call. After writing an equation forthis situation, what is the total cost to have a plumber come to a house for 7 hours?

A)$169
B)$223
C)$140
D)$587

Question 64

Write the word or phrase that best completes each statement or answers the question.

A)
B){6}
C){-5, 5}
D){10}

Question 65

Write the word or phrase that best completes each statement or answers the question.

A)
B)
C)
D){-8, 2}

Question 66

Write the word or phrase that best completes each statement or answers the question.

Question 67

Solve the problem.
It costs $20 per hour plus a flat fee of $35 for a plumber to make a house call. What is an equation of theform y = ax + b for this situation?

A)y = 20x + 35
B)y = 35x + 20
C)y = 20x
D)y = 35x

Question 68

Solve the problem.
x represents the number of textbooks purchased at $59 per book, and y represents the total amount ofmoney spent on textbooks. What is an equation of the form y = ax for this situation?

A)y = 59x
B)y = 118x
C)y = 30x
D)y = 177x

Question 69

Write the word or phrase that best completes each statement or answers the question.

A)
B)
C)
D){15, 1}

Question 70

Write the word or phrase that best completes each statement or answers the question.

A){-1, 9}
B){-1, -9}
C){1, -9}
D){1, 9}

Question 71

Solve the problem.
x represents the number of cassette tapes sold at $10.00 per tape, and y represents the total cost of thecassette tapes. After writing an equation for this situation, what is the total cost of 4 cassettes?

A)$40
B)$80
C)$20.00
D)$2.50

Question 72

Solve the equation by factoring.

A)
B)
C){0}
D)

Question 73

Solve the equation by factoring.

A)
B)
C){0}
D)

Question 74

Write the word or phrase that best completes each statement or answers the question.

A)
B)
C)
D)

Question 75

Write the word or phrase that best completes each statement or answers the question.
x(x - 9)+ 20 = 0

A){4, 5}
B){4, -5}
C){-4, 5}
D){-4, -5}

Question 76

Solve the problem.
The perimeter of a triangle is 65 centimeters. Find the lengths of its sides, if the longest side is 7 centimeterslonger than the shorter side, and the remaining side is 4 centimeters longer than the shorter side.

A)18 cm, 22 cm, 25 cm
B)16 cm, 20 cm, 29 cm
C)20 cm, 22 cm, 23 cm
D)17 cm, 20 cm, 28 cm

Question 77

Solve the problem.
x represents the number of textbooks purchased at $30 per book, and y represents the total amount ofmoney spent on textbooks. After writing an equation for this situation, what is the cost of 3 textbooks?

A)$90
B)$180
C)$45.00
D)$10.00

Question 78

Write the word or phrase that best completes each statement or answers the question.
- 5x + 6 = 0

A){3, 2}
B){3, -2}
C){-3, 2}
D){-3, -2}

Question 79

Solve the equation by factoring.

A){2, -2}
B){2}
C){-2}
D){4}

Question 80

Solve the problem.
Using a phone card to make a long distance call costs a flat fee of $0.65 plus $0.13 per minute starting withthe first minute. What is an equation of the form y = ax + b for this situation?

A)y = 0.13x + 0.65
B)y = 0.65x + 0.13
C)y = 0.65x
D)y = 0.13x