Solve Linear Equations and Inequalities with Rational Coefficients

Solve the equation. Check your solution.

• -90

• 90

• -40

• -180

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 

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

What is the next step to solve this equation?
3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

What is the next step to solve this equation?
n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the next step to solve this equation?
3x + 6 = 10 + 7x

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 7x to both sides of the equation

• Subtract 3x from both sides of the equation

What is the next step to solve this equation?
-4x + 6 = 10

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 4x to both sides of the equation

• Subtract 6 from both sides of the equation

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation