Inequalities and Equations with Rational Numbers

0.5n + 8.7 > 12.35

• n > -8.3

• n > 8.3

• n > 7.3

• n > 16

1/4 + x = 7/8

• 1

• 6/7

• 5/8

• 2/3

Solve by clearing the fractions first:

• x = -4

• x = 4

• x = 3

• x = -12

Clear the equation to solve.

• 1

• 2

• 4.67

• 12

3x + 4 = 25

• 4

• 5

• 6

• 7

Solve 5x > 10

• divide by 5 on both sides and your answer is

  x = 2

• divide by 5 on both sides and your answer is

  x < 2

• divide by 5 on both sides and your answer is

  x > 2

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

What would be the best first step to solving the equation?

• multiply both sides by 10

• divide both sides by 10

• multiply both sides by 5

• divide both sides by 5

2x > 12

• x > 6

• x < 6

• x ≥ 6

• x ≤ 6

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