Solve Equations and Inequalities

• 18.9

• -10.5

• 0.86

• 10.5

• -4

• 9

• -9

• 17

Solve the equation: - 12c - 4 + 7.5c - 11 = -6

• 2

• 7.5

• -11

• -2

The cost to rent a rug cleaner for a day is $25 plus $15 per hour. Write an inequality that can be used to show how many hours (x) you can rent the rug cleaner for so that the charges will be less than $130.

Mathematical Equivalence

OFF

The perimeter of the rectangle shown is 36 inches. Write and solve an equation to find the value of x.

Solve the equation: -2 - 0.5b + 12 = 0.3b + 6.2

• b=-20.5

• b=4.75

• b=12

• b=6.2

An equation is modeled. What value of x makes the equation true?

• -3

• 1

• -1

• 3

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used to determine x, the number of seconds it will take for the boats to be traveling the same speed?

• 12x + 0.2 = 25x - 0.7

• 12 - 0.2x = 25 + 0.7x

• 12.2x = -25.7x

• 12 + 0.2x = 25 - 0.7x