Solve and Model Equations and Inequalities

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Solve   -3x + 5 = -16

• 9

• 8

• -7

• 7

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

What is the solution for this equation?

• x = 4

• x = -4

• x = 12

• x = 4/3

Which of the following represents the solution to the inequality shown below? -6x - 8 > -32

• x < 4

• x > 4

The greatest weight a truck can carry is 1,600 pounds. The truck is loaded with a piano that weight 400 pounds and other boxes that weight 50 pounds each. Which inequality represents all possible values of x , the number of boxes that can be loaded into the truck?

• 50x + 400 ≤ 1,600

• 50x + 400 ≥ 1,600

• 400x + 50 ≤ 1,600

• 400x + 50 ≥ 1,600

2x + 5 = -17

• x = -6

• x = -12

• x = 11

• x = -11

5x - 7 = 8

• x = 1/5

• x = 3

• x = -3

• x = 15

A phone company charges a sign-up fee of $3.50, plus $x for every hour the phone is used. If Brian talked on the phone for 12 hours and paid a total of $75.50, which of the following equations can be used to find, x, the hourly rate of the phone plan?

• 3.50 + x = 75.50 

• 3.50 - x = 75.50 

• 75.50 + 12x = 3.50 

• 3.50 + 12x = 75.50