Multi-Step Equations
3x + 7 = 16
x = 3
10/x = 6/9
x = 15
m = ab
a = m/b
Lena bought 3 bracelets that each cost the same amount, and she also paid a $7 shipping fee. If the total cost was $31, how much did each bracelet cost?
$8
4(x - 2) = 12
x = 5
•If 4 pencils cost $2, how much will 10 pencils cost?
$5
Solve for y:
xy + g = p
y = (p-g)/x
A gym charges a $10 sign-up fee plus $6 for each class you attend. If you spent $46 total, how many classes did you take?
6 classes
5x - 7 = 3x + 9
x = 8
A recipe calls for 3 cups of flour to make 12 cookies. How many cups for 30 cookies?
7.5 cups
Solve for h
A = 1/2bh
h = 2A/b
The sum of two numbers is 65. One number is 15 more than the other. What are the two numbers?
25 and 40
4(2x - 3) + 5 = 2(4x - 1)
No Solution
On a map, 1 inch represents 50 miles. How many miles does 3.5 inches represent?
175 miles
Solve for x:
2x + 4y = 12
x = 6 - 2y
The length of a rectangle is twice the width. The perimeter of a rectangle is 30 cm. What are the dimensions of the rectangle?
L = 10, W = 5
7(x - 2) + 3 = 7x - 11
Infinite Solutions
A car travels 120 miles in 3 hours. At the same rate, how long will it take to travel 200 miles?
5 hours
Solve for c:
F = 9/5C + 32
C = 5/9(F - 32)
Jordan has $30 and saves $6 each week. Riley has $78 and saves $3 each week. After how many weeks will they have the same amount of money?
16 weeks