Multi-Step Equations

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

2x - 3 + 4x = 27

• 12
• 4
• 5
• 15

3x + 2(4x - 4) = 3

• 4
• 3
• 2
• 1

2x + 3(5x - 7) = 47

• 1
• 2
• 3
• 4

 $-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$  

•  $x\ =\ 2$  

•  $x\ =\ 8$  

•  $x\ =\ -2$  

•  $x\ =\ -8$  

 $5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x$  

•  $x\ =-20$  

•  $x\ =\ 20$  

•  $x\ =-10$  

•  $x\ =\ 10$  

Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

• The student found an incorrect common denominator
• The student did not multiply all terms by the common denominator
• The student did not use opposite operations appropriately
• The student did not correctly eliminate the variable from one side of the equation

Solve for x.

 $\frac{3}{4}\left(x-4\right)=-\frac{1}{4}\left(x-16\right)$  

Solve for x.

 $\frac{1}{2}\left(\frac{1}{2}x+6\right)=\frac{5}{4}\left(x-6\right)$  

•  $10\ \frac{1}{2}$  

•  $-10\ \frac{1}{2}$  

•  $10\ \frac{1}{4}$  

•  $-10\ \frac{1}{4}$  

Solve for x.

 $-\left(\frac{4}{7}x-\frac{3}{5}\right)=\frac{1}{2}\left(-\frac{1}{3}x-\frac{1}{2}\right)$  

•  $-2\ \frac{3}{10}$  

•  $2\ \frac{3}{10}$  

•  $2\ \frac{1}{10}$  

•  $-2\ \frac{1}{10}$