Deck 2: Equations and Inequalities

Question 1

Decide whether or not the equations are equivalent.

A) Not equivalent
B) Equivalent

Answer 1

B

Question 2

Decide whether the statement is true or false.
1 is a solution of -7x - 6 = -13.

Answer 2

True

Question 3

Determine whether or not the equation is linear.

A) Linear
B) Not linear

Answer 3

B

Question 4

Decide whether the statement is true or false.
-3 is a solution of 2x + 2 = -5.

Question 5

Determine whether or not the equation is linear.

A) Not linear
B) Linear

Question 6

Decide whether or not the equations are equivalent.

A) Equivalent
B) Not equivalent

Question 7

Decide whether the statement is true or false.
-6 is a solution of -7x = 42.

Question 8

Decide whether the statement is true or false.
-7 is a solution of -7x - 7x = -5.

Question 9

Decide whether or not the equations are equivalent.

A) Not equivalent
B) Equivalent

Question 10

Decide whether the statement is true or false.
-8 is a solution of 8x + 5x = -104.

Question 11

Decide whether or not the equations are equivalent.

A) Equivalent
B) Not equivalent

Question 12

Determine whether or not the equation is linear.
7x + 3x = 0

A) Not linear
B) Linear

Question 13

Determine whether or not the equation is linear.
6x - 5 = 0

A) Linear
B) Not linear

Question 14

Determine whether or not the equation is linear.
6x + 7x(x - 9) = 16x

A) Linear
B) Not linear

Question 15

Determine whether or not the equation is linear.

A) Linear
B) Not linear

Question 16

Determine whether or not the equation is linear.
0.06x - 0.05x = 0.90

A) Linear
B) Not linear

Question 17

Decide whether or not the equations are equivalent.

A) Not equivalent
B) Equivalent

Question 18

Decide whether the statement is true or false.
14 is a solution of -2x = -32.

Question 19

Decide whether or not the equations are equivalent.

A) Equivalent
B) Not equivalent

Question 20

Decide whether the statement is true or false.
3 is a solution of -5x + 4x = -2x.

Question 21

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 22

Solve the equation.

Question 23

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 24

Solve the equation.

Question 25

Solve the equation.

Question 26

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 27

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 28

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 29

Solve the equation.

Question 30

Solve the equation.

Question 31

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 32

Solve the equation.

Question 33

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 34

Solve the equation.

Question 35

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 36

Solve the equation.

Question 37

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 38

Solve the equation.

Question 39

Solve the equation.

Question 40

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 41

Solve for y.
+ 7 10

Question 42

Solve the formula for the indicated variable.

Question 43

Solve for y.

Question 44

Solve for y.

Question 45

Solve the formula for the indicated variable.

Question 46

Solve for y.

Question 47

Solve for y.

Question 48

Solve the formula for the indicated variable.

Question 49

Solve the formula for the indicated variable.

Question 50

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 51

Solve for y.

Question 52

Solve the formula for the indicated variable.

Question 53

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

Question 54

Solve the formula for the indicated variable.

Question 55

Solve the formula for the indicated variable.

Question 56

Solve for y.

Question 57

Solve the formula for the indicated variable.

Question 58

Solve for y.

Question 59

Solve the formula for the indicated variable.

Question 60

Solve the formula for the indicated variable.

Question 61

Solve for y.
Levi borrowed $5007 at 6% simple interest for 5 months. How much will the interest amount to? What is the total amount that Levi will have to pay back at the end of 5 months? Round answers to
The nearest cent if necessary.

A) $126.23; $5133.23
B) $125.18; $5132.18
C) $150.21; $5157.21
D) $100.14; $5107.14

Question 62

Solve the problem.
Find the length of a rectangular lot with a perimeter of 148 m if the length is 6 m more than the width.

A) 40 m
B) 74 m
C) 80 m
D) 34 m

Question 63

Solve for y.

Question 64

Solve for y.
Hannah borrowed $52,084 at 5% simple interest for 18 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 18 months? Round answers
To the nearest cent if necessary.

A) $3939.13; $56,023.13
B) $3906.30; $55,990.30
C) $3689.28; $55,773.28
D) $4123.32; $56,207.32

Question 65

Solve the problem.
In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 25° less than that of angle C. Find the measure of the angles.

A) 82° , 16° and 82°
B) 123° , 16° and 82°
C) 123° , 16° and 41°
D) 82° , 16° and 41°

Question 66

Solve for y.
Sophia borrowed $11,790 at 6% simple interest for 4 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 4 months? Round answers
To the nearest cent if necessary.

A) $294.75; $12,084.75
B) $176.85; $11,966.85
C) $237.78; $12,027.78
D) $235.80; $12,025.80

Question 67

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.

Question 68

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.

Question 69

Solve the problem.
Find the corresponding Celsius temperature for a temperature of 290°F. Round to the nearest tenth, if necessary.

A) 157.6°C
B) 464.4°C
C) 143.3°C
D) 554°C

Question 70

Solve the problem.
A rectangular Persian carpet has a perimeter of 208 inches. The length of the carpet is 18 in. more than the width. What are the dimensions of the carpet?

A) Width: 61 in.; length: 79 in.
B) Width: 43 in.; length: 61 in.
C) Width: 95 in.; length: 113 in.
D) Width: 86 in.; length: 104 in.

Question 71

Solve the problem.
Find the height of a moving box if its length is 31 in., its width is 29 in., and its surface area is 3358 in2. Assume that the surface area includes the top of the moving box.

A) 13 in.
B) 29 in.
C) 11,687 in.
D) 31 in.

Question 72

Solve the problem.
In triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 28° greater than that of angle A. Find the measure of the angles.

A) 19° , 66° and 95°
B) 19° , 47° and 133°
C) 19° , 66° and 114°
D) 19° , 47° and 114°

Question 73

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.

Question 74

Solve the problem.
A cylindrical container has a volume of and a radius of 8 m. Find the height of the container.

A) 17 m
B) 4 m
C) 8 m
D) 22 m

Question 75

Solve the problem.
A circular hole is filled with concrete to make a footing for a load-bearing pier. The hole measures 18 inches across and requires 2.1 bags of concrete in order to fill it to ground level. What is the
Depth of the hole? Round your answer to the nearest inch. (One bag of concrete, when mixed with
The appropriate amount of water, makes 1800 in.3 of material.)

A) 19 in.
B) 21 in.
C) 15 in.
D) 12 in.

Question 76

Solve the problem.
A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 2 feet longer than the length of a shelf. If 22 feet of lumber is available for the entire unit (including the
Shelves, but NOT the back of the bookcase), find the length and height of the unit.

Question 77

Solve the problem.
A square plywood platform has a perimeter which is 9 times the length of a side, decreased by 30. Find the length of a side.

A) 6
B) 11
C) 1
D) 5

Question 78

Solve the problem.
A triangular shaped lake-front lot has a perimeter of 1200 ft. One side is 100 ft longer than the shortest side, while the third side is 200 ft longer than the shortest side. Find the lengths of all three
Sides.

A) 300 ft, 400 ft, 500 ft
B) 100 ft, 200 ft, 300 ft
C) 400 ft, 500 ft, 600 ft
D) 400 ft, 400 ft, 400 ft

Question 79

Solve the problem.
Find the corresponding Fahrenheit temperature for a temperature of 90°C. Round to the nearest tenth, if necessary.

A) 219.6°F
B) 194°F
C) 67.8°F
D) 32.2°F

Question 80

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.