how to solve equations

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Four times a number plus six is 30.

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

Write an equation.
A number is doubled, then 9 is added. The result is 23.

• 2x + 9 = 23
• 2x - 9 = 23
• 2x + 9x = 23
  2x + 9x =23
• 9 - 2x = 23

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side.

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

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.

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

What is a 1-step problem?

• A problem where multiple operations are present.
• A problem where the variable is missing.
• An equation where only one step is needed to solve it.
• An equation where two steps are needed to solve it.

how would you solve this equation: 9x=153? 

• multiply
• divide
• add
• subtract

Which equation has x = 5 as the solution?

• x + 15 = 10
• 2x = 5
• 2x = 10

Did Sarah make an error? If so, which is the best description of her error?

• She didn't distribute correctly. The second step should read 3x - 12 = 24

• She didn't distribute correctly. The second step should read -3x - 12 = 24

• She didn't distribute correctly. The second step should read -3x + 12 = 24

• She didn't make an error.

Solve 2x - 3 = 1 

• 3
• 2
• 1
• -2