Multistep Algebraic Equations

Solve the following equation for x.

8(−2x+2) = −16x+16

• x = -16

• infinitely many solutions

• x = 16

• no solution

Solve the following equation for x.

5(2x+3) = 10x+14

• infinitely many solutions

• x = 15

• x =14

• no solution

Step 2 is what

• Substitution property (simplify)

• Multiplication property of equality

• Division property of equality

• Distributive Property

• b = 3A - a - c
• b = -3A + a - c
• b = -3A - a - c 
• b = 2A - c

Solve for x.

• 55

• 60

• 15

• 35

4 = 2(x + 3)

• 1/2

• 7/2

• -1

• 5

Solve: 5x - 14 = 8x + 4

• 6

• -6

• -18/13

• 10/3

Solve for x:
8x - 10 = -34

• 4

• 3

• -3

• -24

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

4 + k/2 = -3

• 14

• -14

• 4

• -2