Foundations for Algebra

Translate:
2 less than x

• 2 – x
• x – 2
• 2x – 2
• x + 2

Evaluate 3x + 8 if x = 2

• 13

• 14

• 15

• 16

Which algebraic expression represents

"six less than a number"?

4(k + 7)

• 4k + 28
• 4k - 28
• -4k + 28
• 4k - 28

What does it mean to distribute?

• To multiply the numbers inside the parentheses by the number on the outside.
• To add all of the numbers together.
• To do the order of operations.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

• Subtract 7 from both sides. The solution is x = 5.
• Add 7 to both sides.
  The solution is x = 19.
• Multiply both sides by 7 The solution is x = 84.

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

• Divide both sides by 11
• Multiply both sides by 11.
• Add 11 to both sides.
• Subtract 11 to both sides.

Which equation has w = 8 as the solution?

• 8w= 64
• 16w = 240
• 16 - w = 9
• 4 + w = 10

Solve the equation:
x - 4 = -3

• x = -7
• x = 1
• x = 12
• x = -12