Equations and Inequalities Problem Solving

What is the first step in solving the following problem?

2x+10=22

• Add 10 to each side

• Divide by 2

• Subtract 10 from each side

• Multiply by 10

Solve:  6z + 3 -4z = 9

• z = 3
• z = 60
• z = 30
• z = 1

Solve:  4 = 2(x + 3)

• 1/2
• 7/2
• -1
• 5

Translate: 
Four times a number plus six IS 30.

• 4 + 6 = 30
• 4x + 6 = 30
• x + 4 times 6 = 30
• 30 = 4x

Pick the correct inequality.

• A
• B
• C
• D

Solve:
2(2x + 3) = -6(x + 9)

• 1.2
• 6
• -6
• 7.5

Solve!

• x = 2
• x = 6
• x = 4
• x = 8

What is the name of this symbol? 
 $\le$  

• less than

• greater than

• less than or equal to

• greater than or equal to

The variable, k, is being divided by 11. How should you isolate the variable?

 $16=\frac{k}{11}$  

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Pick the correct inequality.

• A

• B

• C

• D