Solving multi-step problems using linear equations in one variable

k=8k+28

 $3.7x-18=-4.3x-34$  

Which is the most efficient first step to solve for x in the equation ?

• Add 4.3x to both sides of the equation.

• Add 3.7x to both sides of the equation.

• Subtract 18 from both sides of the equation.

• Subtract 34 from both sides of the equation.

Let's try it! Choose the correct first step for this equation.

 $\ 7x\ =\ 2x\ -\ 20$  

• Subtract 2x from both sides.

• Subtract 7x from both sides.

• Sutbract 20 from 2x.

• - 48

• 18

• 48

• - 18

• Distribute the 3 to x + 2, and distribute the 5 to (2x – 3).

• Combine 4x and x on the left side of the equation.

• Apply the subtraction property of equality to move the 2 from the left to the right side of the equation.

• Apply the addition property of equality to move the 3 from the right to the left side of the equation.

The solution set of the equation from 6a – 9 = 3a – 3 is ....

• -4

• -2

• 2

• 4

Solve the following equation for x: $5(2x+1)+2\left(x-13\right)=10x+\frac{1}{2}(8x+14)$  

•  $x=-7$  
  

•  $x=14$  
  

•  $x=-14$  
  

•  $x=0$  
  

In the equation,

−5 + 5(n − 7) = −40 + 5n

What is your first step?

• adding 5 to both sides

• distributing 5 to everything inside the parenthesis

• combining like terms

• subtracting 5 to both sides