Solving Two-Step Equations with Rational Coefficients

Solve the equation. Check your solution.

• 72
• .5
• ¹/₂
• 2

Solve the equation. Check your solution.

• 24
• ¹⁴⁷/₈ or 18 ³/₈
• 168
• -24

Solve the equation. Check your solution.

• -90
• 90
• -40
• -180

Write and solve an equation. The average growth of human hair is 0.5 inch per month. Find how long it takes a human to grow 3 inches of hair. 

• 3t = 0.5 ; 0.16 month
• 0.5t = 3 ; 6 months
• 3t = 0.5 ; 6 months
• 0.5t = 3 ; 2 months

Solve the equation. Check your answer.
-2.5b = 20.5 

• 8.2
• -0.12
• 0.12
• -8.2

Solve the equation. Check your solution.

• 5 ⅗
• ⅕
• 5/28
• 5

Write an equation and solve. Three fourths of the fruit in a refrigerator are apples. There are 24 apples in the refrigerator. How many pieces of fruit are in the refrigerator? 

• ¾ n = 24 ; 18 pieces of fruit 
• ¾ n = 24 ; 8 pieces of fruit 
• ¾ n = 24 ; 32 pieces of fruit
• ¾ (24) = n ; 18 pieces of fruit 

• Nora because Nora bought more fabric than Ryan
• Ryan because he paid more money for the fabric than Nora did
• Nora because Nora's fabric cost less than Ryan's fabric 
• Ryan because Ryan's fabric cost $7.50 per yard and Nora's cost $6 per yard

• -10; since m = 2
• 20; since m = 32
• -8; since m = 4
• -4; since m = 8 

Solve the equation. Check your solution. 

• -0.2
• 0.2
• 5
• -5