Solving Equations and Inequality Word Problems with Variables on Both Sides

Solve and graph the inequality.

• A

• B

• C

• D

• x < 1
• x < -1
• x > 1
• x > -1

The equation 9x + 1 = 4x + 16 is modeled.  Which answer represents the solution to the equation?

• 3

• 3.4

• -3

• none of these

• split up the equation/look where they cross

• type in as is

• split up the equation/look at x-intercepts

• replace x with y on the left side

Look at the work. What SHOULD have been the first step?

• It's correct!

• Subtract 1 on both sides

• Add 5 on both sides

• Divide by 3 on both sides

The goal of solving two-step equations is to:

• Make life difficult

• Find the coefficient

• Find the value of the variable

• Make everything equal zero

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20

• 1.75n + 0.75 ≤ 20

• 0.75n + 1.75 ≥ 20

• 0.75n + 1.75 ≤ 20

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?

• 29 - n = 41

• 29 - n = 40

• 29 + n = 41

• 29 + n = 40

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

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.