Equations and Inequalities SOL 7.12, 7.13

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution.

Using the given key, write a two-step linear equation to represent the model. What value must x be?

• $3x+6=7,\ x=\frac{1}{3}\ \ or\ 0.\overline{3}$

• $3x-6=7,\ x=-\frac{1}{3}\ \ or-0.\overline{3}$

Using the given key and equation mat, solve the following linear equation algebraically.  $10=4-3x$ 

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution.

Using the given key, write a multistep linear equation to represent the model. Then solve and confirm your algebraic solution.

What is the solution to the equation?  $\frac{d\ -\ 3.4}{7}=2.8$  

• d = 3.0

• d = 3.8

• d = 16.2

• d = 23.0

Solve the equation below for p.  $5p-21=4$ 

• p = 3

• p = 5

• p = 7

• p = 10

What value for x makes this equation true?  $-\frac{1}{2}x-4.5=-23$ 

• 16

• 28

• 37

• 55

Write a value for x that will make this equation true. $1=-5x+6$ 

What is the solution to $-\frac{2}{3}x-4=-10$ ?

• x = 21

• x = 19

• x = 11

• x = 9