Deck 2: First-Degree Equations and Inequalities

Question 1

Is -6 a solution of ?

A) No
B) Yes

Answer 1

Yes

Question 2

Solve.

A) -6
B) 6
C) 8
D) -22
E) 22

Answer 2

-6

Question 3

Solve.

A) 12
B) -1
C) 1
D) 7
E) -3

Answer 3

1

Question 4

Solve.

A) 14
B) -48
C) -2
D) -6
E) 48

Question 5

Solve.

A) -364
B)
C) -196
D)
E) -52

Question 6

Solve.

A) 54
B) 3
C) -3
D) -15
E) -54

Question 7

Solve.

A) 20
B) -10
C) 0
D) 10
E) -20

Question 8

Solve.

A) -2
B) -48
C) 48
D) -14
E) 14

Question 9

Solve.

A) -72
B) 8
C) -8
D) -21
E) -27

Question 10

Solve.

A) 11
B) 8
C) 14
D) -8
E) 3

Question 11

Is a solution of ?

A) Yes
B) No

Question 12

Solve.

A) -10
B) -3
C) -6
D) 1
E) 3

Question 13

Is -1 a solution of ?

A) Yes
B) No

Question 14

Solve.

A) -3
B) 4
C) -12
D) 36
E) -4

Question 15

Solve.

A) -49
B) 1
C) 0
D) -1
E) 14

Question 16

Solve.

A)
B)
C) 51
D) 45
E) 180

Question 17

Solve.

A)
B)
C)
D) 0
E) 3

Question 18

Solve.

A)
B)
C) 200
D) 40
E) -200

Question 19

Solve.

A) -7
B) -15
C) 1
D) 15
E) -1

Question 20

Solve.

A) 15
B) -15
C) 735
D) -112
E) -98

Question 21

Solve.

A)
B)
C)
D)
E)

Question 22

Solve.

A) -35
B) 7
C) 35
D) 37
E) -7

Question 23

As part of a training program, a runner wants to build endurance by running at a rate of 10 mph for 48 min. How many miles will the runner travel in that time period?

A) 480 mi
B) 58 mi
C) 9 mi
D) 8 mi
E) 4.8 mi

Question 24

Two cyclists start from the same point at the same time and move in opposite directions. One cyclist is traveling at 8 mph, and the other cyclist is traveling at 9 mph. After 120 min, how many miles apart are the two cyclists?

A) 34 mi
B) 16 mi
C) 18 mi
D) 17 mi
E) 1 mi

Question 25

Solve.

A) 4
B) -4
C) 12
D) -20
E) -12

Question 26

Apple Dan's 30-ounce apple-flavored fruit drink contains 6 oz of apple juice. A 39-ounce generic brand of an apple-flavored fruit drink contains 9 oz of apple juice. Which of the two brands has the greater concentration of apple juice?

A) Generic brand
B) Apple Dan's brand
C) Same concentration

Question 27

Palmer's average running speed is 4 kilometers per hour faster than his walking speed. If Palmer can run around a 40-kilometer course in 4 hours, how many hours would it take for Palmer to walk the same course? (Round your answer to two decimal places.)

A) 7.75 h
B) 5.59 h
C) 6.67 h
D) 11.53 h
E) 7.21 h

Question 28

Solve.

A) -10
B) 2
C) -32
D) -2
E) -16

Question 29

At 6:00 A.M., a train leaves a station and travels at a rate of 45 mph. At 7:00 A.M., a second train leaves the same station on the same track and travels in the direction of the first train at a speed of 60 mph. At 9:00 A.M., how many miles separate the two trains?

A) 30 mi
B) 25 mi
C) 20 mi
D) 15 mi
E) 10 mi

Question 30

Solve.

A) 2
B) 14
C) -14
D) -5
E) 24

Question 31

Solve.

A) 1
B) -15
C) -1
D) 11
E) 3

Question 32

Solve.

A) 48
B) -7
C) 7
D) 57
E) 51

Question 33

Solve.

A)
B)
C)
D)
E)

Question 34

Solve.

A) -4
B) 0
C) 2
D) 16
E) -8

Question 35

Solve.

A) -30
B) 4
C) -4
D) -24
E) -6

Question 36

Solve.

A) 39
B) 3
C) 5.5
D) 32
E) 6

Question 37

Solve.

A)
B)
C)
D)
E)

Question 38

Solve.

A)
B)
C)
D)
E)

Question 39

Solve.

A) -36
B) 12
C) 36
D) 27
E) -12

Question 40

Solve.

A) 4
B) 15
C) 46
D) 32
E) -4

Question 41

Solve.

A) 10
B) -4
C) 1
D) 3
E) 2

Question 42

Solve.

A) -6
B) -13
C) 30
D) 6
E) 15

Question 43

If evaluate

A) 6
B) -3
C) -26.2
D) 2483.76
E) 2898.96

Question 44

Solve.

A) 49
B) -13
C) -45
D) -54
E) -9

Question 45

Solve.

A) 96
B) 8
C) 78
D) 12
E) 6

Question 46

Solve.

A)
B)
C) 3
D) 4
E) 5

Question 47

Solve.

A) 8
B) 48
C) 46
D) 7
E) -7

Question 48

Solve.

A) -5
B) -4
C) -6
D) -34
E) 44

Question 49

Solve.

A) 5
B) -10
C) 16
D) -16
E) -5

Question 50

Solve.

A) -3
B) 3
C) -16
D) 24
E) -20

Question 51

Solve.

A)
B)
C)
D)
E)

Question 52

Solve.

A) -15
B) -8
C) -22
D) 24
E) 2

Question 53

If evaluate

A) -1
B) -0.4
C) 11
D) 2
E) 13

Question 54

Solve.

A) 3
B) 66
C) 6
D) 55
E) 30

Question 55

Solve.

A) 35
B) -12
C) -7
D) -175
E) -5

Question 56

Solve.

A)
B)
C)
D) 5
E) 4

Question 57

Solve.

A) -8
B) 6
C) -6
D) 7
E) 0

Question 58

Solve.

A) -52
B) -4
C) -1
D) 52
E) 4

Question 59

Solve.

A) -16
B) 4
C) -4
D) 0
E) -20

Question 60

Solve.

A) 3
B) -3
C) -6
D) 24
E) 18

Question 61

Find the cost per ounce of a sunscreen made from 20 oz of a lotion that costs $2.25 per ounce and 50 oz of a lotion that costs $3.55 per ounce.

A) $2.85 per oz
B) $3.18 per oz
C) $3.85 per oz
D) $2.18 per oz
E) $5.18 per oz

Question 62

The sum of three consecutive odd numbers is 51. Find the first number.

A) 3
B) 23
C) 15
D) 9
E) 36

Question 63

A motorboat leaves a harbor and travels at an average speed of 12 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 24 mph toward the same island. In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

A) 1 h
B) 8 h
C) 2 h
D) 7 h
E) 6 h

Question 64

The difference between a number and sixteen is eight. Find the number.

A) 30
B) 18
C) 24
D) 20
E) 53

Question 65

Three times the difference between five times a number and three is ninety-six. Find the number.

A) 6
B) 11
C) 7
D) 4
E) 19

Question 66

Two small planes start from the same point and fly in opposite directions. The first plane is flying 55 mph slower than the second plane. In 2 h, the planes are 510 mi apart. Find the rate of the faster plane.

A) 130 mph
B) 155 mph
C) 135 mph
D) 161 mph
E) 160 mph

Question 67

A union charges monthly dues of $4.24 plus $0.13 for each hour worked during a month. A union member's dues for March were $25.56. How many hours did the union member work during the month of March?

A) 164 h
B) 167 h
C) 169 h
D) 330 h
E) 162 h

Question 68

One third of a number is negative twelve. Find the number.

A) -38
B) -34
C) -39
D) -36
E) -71

Question 69

How many ounces of pure bran flakes must be added to 90 oz of cereal that is 46% bran flakes to produce a mixture that is 51.4% bran flakes?

A) 8 oz
B) 2 oz
C) 15 oz
D) 19 oz
E) 10 oz

Question 70

An isosceles triangle has two sides of equal length. The length of the third side is 2 ft less than twice the length of an equal side. Find the length of the third side when the perimeter is 26 ft.

A) 10 ft
B) 18 ft
C) 15 ft
D) 25 ft
E) 12 ft

Question 71

A tea that is 18% jasmine is blended with a tea that is 12% jasmine. How many pounds of the 18% jasmine tea are used to make 10 lb of tea that is 13.8% jasmine?

A) 3 lb
B) 5 lb
C) 1 lb
D) 4 lb
E) 2 lb

Question 72

Find two consecutive even integers such that twelve times the first equals eight times the second. Find the smaller number.

A) 10
B) 16
C) 20
D) 14
E) 4

Question 73

Ten cups of a restaurant's house Italian dressing is made up by blending olive oil costing $1.30 per cup with vinegar that costs $0.25 per cup. How many cups of vinegar are used if the cost of the blend is $0.78 per cup?

A) 9 c
B) 2 c
C) 5 c
D) 1 c
E) 8 c

Question 74

Forty ounces of a 25% gold alloy are mixed with 60 oz of a 20% alloy. Find the concentration of the resulting gold alloy.

A) 21.00%
B) 21.67%
C) 21.20%
D) 22.00%
E) 13.00%

Question 75

An adult and a child are on a seesaw 14.5 ft long. The adult weighs 152 lb and the child weighs 80 lb. How many feet from the child must the fulcrum be placed so that the seesaw balances?
Use the lever system equation where d is the length of the lever and x is the distance of the fulcrum from the child.

A) 11.5 ft
B) 5.5 ft
C) 9.5 ft
D) 4.5 ft
E) 15 ft

Question 76

Two more than three times a number is eight. Find the number.

A) 2
B) 5
C) -1
D) -4
E) 9

Question 77

The sum of two numbers is twenty. Three times the smaller number is equal to two times the larger number. Find the smaller number.

A) 3
B) 11
C) 8
D) 7
E) 17

Question 78

To determine the break-even point, or the number of units that must be sold so that no profit or loss occurs, an economist uses the formula where P is the selling price per unit, x is the number of units that must be sold to break even, C is the cost to make each unit, and F is the fixed cost. A business analyst has determined that the selling price for a laser printer is $1800. The cost to make one laser printer is $960, and the fixed cost is $289,800.
Find the break-even point.

A) 161 printers
B) 345 printers
C) 105 printers
D) 1455 printers
E) 615 printers

Question 79

The sum of twice a number and six is eighteen. Find the number.

A) 3
B) 9
C) 6
D) 0
E) 17

Question 80

An herbalist has 20 oz of herbs costing $2.10 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with the 20 oz to produce a mixture costing $1.44 per ounce?

A) 36 oz
B) 34 oz
C) 25 oz
D) 30 oz
E) 39 oz