Multi-Step Equations
3(2x−5)+4=2x+19
x = 7.5
A circular track has a radius of 6 centimeters. Use 3.14 for π.
What is the circumference of the track?
37.68 cm
A car travels 180 miles in 3 hours at a constant rate.
What is the unit rate in miles per hour?
At this rate, how far will the car travel in 5 hours?
60 mph; 300 miles
A shirt costs $25 and is on sale for 20% off.
What is the sale price of the shirt?
Simplify the expression:
3(2x − 5) + 4x
10x − 15
A number is decreased by 7 and then multiplied by 4. The result is 36.
Which equation can be used to find the number, and what is the solution?
4(x − 7) = 36, x = 13.5
A circular garden has a diameter of 14 feet. Use 3.14 for π.
What is the area of the garden?
153.86 ft2
The table shows a proportional relationship between x and y:
x: 2, 5, 8
y: 10, 25, ?
What is the constant of proportionality, and what is the missing value?
k =5 and y = 40
A pair of shoes costs $40. The sales tax rate is 7%.
What is the total cost of the shoes, including tax?
$42.80
Which expression is equivalent to 5(x + 3) − 2x?
3x + 15
5x−3=2(x+7)+4
x = 7
A pizza has a radius of 8 inches. Another pizza has a radius of 5 inches. Use 3.14 for π.
How much greater is the area of the larger pizza than the smaller pizza?
Area (8) = 200.96 in²
Area (5) = 78.5 in²
Difference = 122.46 in²
On a map, 1 inch represents 12 miles.
Two cities are 3.5 inches apart on the map.
What is the actual distance between the two cities?
42 miles
A jacket costs $60 and is discounted by 15%. After the discount, a 6% sales tax is applied.
What is the final price of the jacket?
$54.06
Solve the inequality:
2x + 7 > 19
x > 6
The perimeter of a rectangle is 54 centimeters. The length is represented by 2x + 3 and the width is represented by x + 2.
What is the value of x?
x = 7
A circular path has a circumference of 62.8 meters. Use 3.14 for π.
What is the radius of the path?
r = 10 m
A recipe uses 2.5 cups of flour to make 20 cookies.
How many cups of flour are needed to make 50 cookies?
If flour costs $0.80 per cup, what is the total cost?
6.25 cups; $5.00
A restaurant bill is $48. A 20% tip is added.
What is the total amount paid?
Solve the inequality:
3(x − 4) ≤ 12
x ≤ 8
(3/4)x + 6 = 15
x = 12
A semicircle has a diameter of 10 centimeters. Use 3.14 for π.
What is the area of the semicircle?
39.25 cm2
Store A sells 3 notebooks for $4.50.
Store B sells 5 notebooks for $7.25.
Which store offers the better price per notebook?
Store B
A video game originally costs $50 and is on sale for $35.
What is the percent discount?
30%
A student earns $8 per hour plus a one-time bonus of $20. The student wants to earn at least $100.
Write and solve an inequality to represent this situation.
8x + 20 ≥ 100
x ≥ 10