Solving Equations with Rational Coefficients and Distribution

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 

Solve the equation. Check your solution. 

• -0.2
• 0.2
• 5
• -5

Solve:
3.4a = 57.8

• 17
• .5
• -34
• 16

Solve:
-2 = 0.8n

• -2.5
• 2.5
• .4
• -.4