Review Solving Linear Equations

You and your friend are having a competition on who can save the most money. You already have $30 in your savings and you make $9.50 an hour at your job. Your friend already has $50 saved and she makes $8.50 at her job. After how many hours of work will you both have the same amount saved?

Solve:
7x - 3x - 8 = 24

• 8

• -8

• 3.2

• 4

Solve:
3(x - 2) = 18

• 6.7

• 4

• 8

• -4

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

• 2

• 6

• -6

• 7.5

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

Solve for x. 
2x + 1 = 3x + 1 - x

• x = 0

• x = 1

• No Solution

• Infinite Solutions

Solve the equation for x.
-8x - 8 + 3x - 6 = -3x + 2

• x = -8

• x = 8

• x = 2

• x = -2

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Solve:
-19 + 3x = 3( x - 5)

• No Solutions

• Infinite Solutions

• x = (-6)

• x = 8

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property