Deck 1: Equations and Inequalities

Question 1

Solve the equation.

Answer 1

B

Question 2

Decide whether or not the equations are equivalent.

Answer 2

A

Question 3

Solve the equation.

Answer 3

D

Question 4

Determine whether or not the equation is linear.

Question 5

Determine whether or not the equation is linear.
6x = 7x + 8x

A) Not linear
B) Linear

Question 6

Decide whether or not the equations are equivalent.

Question 7

Determine whether or not the equation is linear.
0.03x + 0.07x = 0.90

A) Linear
B) Not linear

Question 8

Decide whether or not the equations are equivalent.
x = 1 - 3x 2x = 1

A) Not equivalent
B) Equivalent

Question 9

Determine whether or not the equation is linear.
7x - 2x = 0

A) Linear
B) Not linear

Question 10

Determine whether or not the equation is linear.

Question 11

Determine whether or not the equation is linear.
4x + 7x(x - 2) = 16x

A) Linear
B) Not linear

Question 12

Decide whether or not the equations are equivalent.
4x - 4 = 9 -4x - 4 = 9

A) Equivalent
B) Not equivalent

Question 13

Solve the equation.

Question 14

Solve the equation.

Question 15

Solve the equation.

Question 16

Decide whether or not the equations are equivalent.

Question 17

Decide whether or not the equations are equivalent.
4x - 3 = 6 -4x + 6 = -3

A) Not equivalent
B) Equivalent

Question 18

Determine whether or not the equation is linear.
2x + 7(x - 9) = 11x

A) Not linear
B) Linear

Question 19

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

A) Linear
B) Not linear

Question 20

Solve the equation.

Question 21

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

Question 22

Solve the formula for the indicated variable.

Question 23

Solve the formula for the indicated variable.

Question 24

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

Question 25

Solve the equation.

Question 26

Solve the equation.

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

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

Question 31

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

Question 32

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

Question 33

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

Question 34

Solve the formula for the indicated variable.

Question 35

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

Question 36

Solve the formula for the indicated variable.

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

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

Question 40

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

Question 41

Solve for y.

Question 42

Solve for y.

Question 43

Solve the formula for the indicated variable.

Question 44

Solve for y.

Question 45

Solve for y.

Question 46

Solve the formula for the indicated variable.

Question 47

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

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 problem.

Question 52

Solve for y.

Question 53

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

Question 54

Solve for y.

Question 55

Solve the problem.

Question 56

Solve the formula for the indicated variable.

Question 57

Solve for y.

Question 58

Solve for y.

Question 59

Solve the problem.
Hannah borrowed $45,338 at 4.5% simple interest for 22 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 22 months?
Round answers to the nearest cent if necessary.

A) $3570.37; $48,908.37
B) $3771.82; $49,109.82
C) $3740.39; $49,078.39
D) $3910.40; $49,248.40

Question 60

Solve the formula for the indicated variable.

Question 61

Solve the problem.
A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 20 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 62

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

Question 63

Solve the problem.
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 64

Solve the problem.
Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 93 miles in the same time that Dana travels 84 miles. If Chuckʹs rate of travel is 3 mph more than Danaʹs, and they
Travel the same length of time, at what speed does Chuck travel?

A) 31 mph
B) 28 mph
C) 23 mph
D) 39 mph

Question 65

Solve the problem.

Question 66

Solve the problem.

Question 67

Solve the problem.
From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and the other at 14 miles per hour. In how many hours will they be 69 miles apart?

A) 5 hr
B) 1 hr
C) 3 hr
D) 4 hr

Question 68

Solve the problem.

Question 69

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

Question 70

Solve the problem.

Question 71

Solve the problem.
A triangular shaped lake-front lot has a perimeter of 1300 ft. One side is 100 ft longer than the shortest side, while the third side is 300 ft longer than the shortest side. Find the lengths of all three
Sides.

A) 400 ft, 400 ft, 400 ft
B) 400 ft, 500 ft, 700 ft
C) 300 ft, 400 ft, 600 ft
D) 100 ft, 200 ft, 300 ft

Question 72

Solve the problem.
Noah and Ben are running in the Walker Street Fun Run. Noah runs at 7 mph, Ben at 5 mph. If they start at the same time, how long (in minutes) will it be before they are 16 mile apart?

A) 12 min
B) 180 min
C) 20 min
D) 5 min

Question 73

Solve the problem.

Question 74

Solve the problem.
A circular hole is filled with concrete to make a footing for a load-bearing pier. The hole measures 15 inches across and requires 1.9 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) 23 in.
B) 16 in.
C) 19 in.
D) 25 in.

Question 75

Solve the problem.
A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 26 in. more than the width. What are the dimensions of the carpet?

A) Width: 67 in.; length: 93 in.
B) Width: 82 in.; length: 108 in.
C) Width: 95 in.; length: 121 in.
D) Width: 41 in.; length: 67 in.

Question 76

Solve the problem.
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 77

Solve the problem.

Question 78

Solve the problem.
Jill is 10 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2 kilometers per hour. They meet in 2 hours. How fast is Joe walking?

A) 2 km/hr
B) 3 km/hr
C) 5 km/hr
D) 4 km/hr

Question 79

Solve the problem.
Candy and Delvis are riding bicycles in the same direction. Candy is traveling at a speed of 7 miles per hour, and Delvis is traveling at a speed of 15 miles per hour. In 5 hours what is the distance
Between them (assuming that they began at the same point and time)?

A) 49 mi
B) 41 mi
C) 37 mi
D) 40 mi

Question 80

Solve the problem.