Solving Equations 1st

What is the goal of solving an equation with variables on both sides of the equal sign?

• Find a value of x that makes both sides of the equal sign equal to each other.

• To combine like terms on each side of the equal sign.

• Find a value of x that makes one side of the equation correct.

Solve the following equation for  $x.$ 

  $5x\ -\ 6\ =\ 8\ -\ 2x$  

•  $x\ =\ 2$  

•  $x\ =\ -4\ \frac{2}{3}$  

•  $x=\ -2$  

•  $x\ =-\frac{2}{3}$  

Solve the following equation for  $x.$ 

  $-5x\ +\ 2\ =\ 2x\ +\ 9$  

•  $x\ =\ 2$  

•  $x\ =\ 1\ \frac{2}{7}$  

•  $x\ =\ -1$  

•  $x\ =\ 1$  

Solve the following equation for  $x.$ 

  $-4x\ +\ 2\ =\ -3x\ -\ 6$  

•  $x\ =\ 8$  

•  $x\ =\ -8$  

•  $x=\ -\frac{4}{7}$  

•  $x\ =\frac{4}{7}$  

Which of the following steps would NOT be a correct step towards solving the equation below:

 $-14x\ -\ 7\ =\ 3x\ +\ 2$  

• Combining  $-14x$  and  $3x$  to get  $-11x.$  

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

• Subtracting  $3x$  from  $-14x$  to get  $-17x.$   

In order to solve an equation, we must get the variables on one side of the equation, and the constants on the other side.

• True

• False

 $1+7a\ +\ 6\ -\ 13\ =\ 6a\ +\ 3a$  

• 5

• -3

• All Real Numbers

• No Solution

7w + 5 = 3w - 15

• 5
• -2
• 2
• -5

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

3 - 5x = -9 + x

• 4
• 3
• 2
• 1