Deck 2: Equations and Inequalities

Question 1

Determine whether or not the equation is linear.

A) Linear
B) Not linear

Answer 1

A

Question 2

Determine whether or not the equation is linear.

A) Not linear
B) Linear

Answer 2

B

Question 3

Decide whether the statement is true or false.

Answer 3

False

Question 4

Determine whether or not the equation is linear.

A) Linear
B) Not linear

Question 5

Decide whether or not the equations are equivalent.

A) Not equivalent
B) Equivalent

Question 6

Determine whether or not the equation is linear.

A) Not linear
B) Linear

Question 7

Decide whether the statement is true or false.

Question 8

Decide whether or not the equations are equivalent.

A) Equivalent
B) Not equivalent

Question 9

Decide whether or not the equations are equivalent.

A) Equivalent
B) Not equivalent

Question 10

Determine whether or not the equation is linear.

A) Linear
B) Not linear

Question 11

Determine whether or not the equation is linear.

A) Linear
B) Not linear

Question 12

Decide whether the statement is true or false.

Question 13

Decide whether the statement is true or false.

Question 14

Decide whether or not the equations are equivalent.

A) Not equivalent
B) Equivalent

Question 15

Decide whether the statement is true or false.
4 is a solution of

Question 16

Decide whether the statement is true or false.

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.

Question 19

Determine whether or not the equation is linear.

A) Not linear
B) Linear

Question 20

Decide whether or not the equations are equivalent.

A) Equivalent
B) Not equivalent

Question 21

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

Question 22

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

Question 23

Determine whether or not the equation is linear.

A) Not linear
B) Linear

Question 24

Determine whether or not the equation is linear.

Question 25

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

Question 26

Determine whether or not the equation is linear.

Question 27

Determine whether or not the equation is linear.

Question 28

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

Question 29

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

Question 30

Determine whether or not the equation is linear.

Question 31

Determine whether or not the equation is linear.

Question 32

Determine whether or not the equation is linear.

Question 33

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

Question 34

Determine whether or not the equation is linear.

Question 35

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

Question 36

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

Question 37

Determine whether or not the equation is linear.

Question 38

Determine whether or not the equation is linear.

Question 39

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

Question 40

Determine whether or not the equation is linear.

Question 41

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

Question 42

Solve the formula for the indicated variable.

Question 43

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

Question 44

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

Question 45

Solve for y.

Question 46

Solve for y.

Question 47

Solve the formula for the indicated variable.

Question 48

Solve the formula for the indicated variable.

Question 49

Solve the formula for the indicated variable.

Question 50

Solve for y.

Question 51

Solve the formula for the indicated variable.

Question 52

Solve the formula for the indicated variable.

Question 53

Solve the formula for the indicated variable.

Question 54

Solve for y.

Question 55

Solve for y.

Question 56

Solve for y.

Question 57

Solve the formula for the indicated variable.

Question 58

Solve the formula for the indicated variable.

Question 59

Solve the formula for the indicated variable.

Question 60

Solve for y.

Question 61

In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 35° less than that of angle C. Find the measure of the angles.

Question 62

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

Question 63

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

Question 64

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 65

In triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 44° greater than that of angle A. Find the measure of the angles.

Question 66

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.
Find the corresponding Celsius temperature for a temperature of 242°F. Round to the nearest tenth, if necessary.

Question 67

Solve for y.
Levi borrowed $6944 at 4% simple interest for 6 months. How much will the interest amount to? What is the total amount that Levi will have to pay back at the end of 6 months? Round answers to the nearest cent if
Necessary.

A) $138.88; $7082.88
B) $140.05; $7084.05
C) $115.73; $7059.73
D) $162.03; $7106.03

Question 68

Solve for y.
Sophia borrowed $13,671 at 6% simple interest for 3 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 3 months? Round answers to the nearest cent if
Necessary.

A) $136.71; $13,807.71
B) $206.79; $13,877.79
C) $205.07; $13,876.07
D) $273.42; $13,944.42

Question 69

Solve for y.
Hannah borrowed $47,838 at 5% simple interest for 15 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 15 months? Round answers to the nearest cent if
Necessary.

A) $2790.55; $50,628.55
B) $3189.20; $51,027.20
C) $2989.88; $50,827.88
D) $3015.00; $50,853.00

Question 70

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.
Find the corresponding Fahrenheit temperature for a temperature of 84°C. Round to the nearest tenth, if necessary.

Question 71

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.
Find the length of a rectangular lot with a perimeter of 92 m if the length is 6 m more than the width.

A) 46 m
B) 52 m
C) 20 m
D) 26 m

Question 72

A circular hole is filled with concrete to make a footing for a load-bearing pier. The hole measures 18 inches across and requires 1.5 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) 11 in.
B) 8 in.
C) 15 in.
D) 17 in.

Question 73

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

Question 74

A triangular shaped lake-front lot has a perimeter of 1500 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) 100 ft, 200 ft, 300 ft
B) 500 ft, 600 ft, 700 ft
C) 500 ft, 500 ft, 500 ft
D) 400 ft, 500 ft, 600 ft

Question 75

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

Question 76

A rectangular Persian carpet has a perimeter of 224 inches. The length of the carpet is 24 in. more than the width. What are the dimensions of the carpet?

A) Width: 88 in.; length: 112 in.
B) Width: 68 in.; length: 92 in.
C) Width: 100 in.; length: 124 in.
D) Width: 44 in.; length: 68 in.

Question 77

Solve for y.

Question 78

A cylindrical container has a volume of and a radius of 11 cm. Find the height of the container.

A) 16 cm
B) 11 cm
C) 22 cm
D) 4 cm

Question 79

Use these equations to convert between the two systems. Round answer to the nearest tenth of a degree if necessary.
A square plywood platform has a perimeter which is 7 times the length of a side, decreased by 18. Find the length of a side.

A) 9
B) 1
C) 6
D) 3

Question 80

Solve for y.