Two-Step Equations and Inequalities

Two-Step Equations

100

2x + 3 = -7

x = -5

200

2x + 2 = -52

x = -27

300

2x - 14 = -36

x = -11

400

h/12 + 18 = 13

h = -60

500

4 = 3x + 7 

X = -1

Two-step Inequalities and graph

100

2x + 4 > 10

x > 3

200

8x + 40 ≥ 200

x ≥ 20

300

-3x + 9 ≥ -21

x ≤ 10

400

63 - 6x < 81

x > -3

500

1/3 x + 12 < 49

x = 111

Sales Tax

100

The price of a sweatshirt is $26.25.  The sales tax rate is 4%.  What is the amount of the sales tax?

$1.05

200

The price of a computer game is $36.50 plus 8% sales tax.  What is the sales tax on the computer game in dollars and cents?

$2.92

300

A refrigerator is priced at $627.50.   There is a 6% sales tax rate.  What is the sales tax for the refrigerator in dollars and cents?

$37.65

400

The price of a computer is $730.75.  The sales tax rate is 8%.  What is the sales tax for the computer in dollars and cents?

$58.46

500

Nancy bought a shirt for $15.99.  The sales tax is 8.25%.  What is the sales tax for the shirt in dollars and in cents?

$1.32

Proportions

100

A hiking trail map for Guadalupe Mountains National Park uses a scale in which 2 centimeters represent 5 kilometers.  There are 130 kilometers of hiking trails in the park.  How many centimeters of hiking trails are on the map?

52 centimeters

200

Riley made a scale model of the Texas State Capital.  The height of the actual dome is 266 feet.  Riley's model used a scale in which 1 inch represents 50 feet.  What is the height in inches of the dome in Riley's model?

5.32 inches

300

A glider plane travels 120 miles in 2 hours.  At this rate, how many hours will it take the plane to travel in 300 miles?

5 hours

400

Rectangle A is similar to rectangle B.  The ratio of the length of rectangle  A to the length of rectangle B is 5 : 4.  The width of rectangle A is 22 inches.  What is the width in inches of rectangle B?

17.6 in.

500

A train traveled 162 miles in 3 hours.  At that rate, how many miles will the train travel in 1/3 hour?

18 miles

Area of a Circle

100

A circle has a radius of 7 cm.  What is the area of the circle?

A = 153. 86 square centimeters

200

A circular table mat has a diameter of 40 centimeters. What is the area of the table?

1256 square centimeters

300

A circular bicycle-lane sign has a diameter of 26 inches. What is the area of the sign in square inches?

530.66 square inches

400

The diameter of a mirror has a 42 inches.  What is the area of the mirror in square inches?

1,384.74 square inches

500

The diameter of one circle is 12 cm and the diameter of another circle is 8 cm.  What is the difference between the circles?

62.80 square centimeters