Simplifying Expressions & Solving Equations

Simplifying Expressions & Solving Equations

by Otis Jackson

Fill in the Blank

$$4-4y+y-3$$  

Multiple Choice

Which expression is equivalent to the expression $$-3\left(4x-2\right)-2x?$$  

• $$-8x$$  

• $$-16x$$  

• $$-14x-2$$  

• $$-14x+6$$  

Multiple Choice

Which expression is equivalent to $$7a-8-12a+4?$$  

• $$-9a$$  

• $$31a$$  

• $$-5a-4$$  

• $$19a+12$$  

Multiple Choice

Simplify and combine like terms: 5p-3q+2-4p+5+4q

• p+q+7

• -p-q-7

• p-q+7

• -p+q+7

Multiple Choice

Expand using the distributive property

-2(3x + 4y + 1)

• -6x + 8y + 2

• -6x - 8y + 2

• -6x - 8y - 1

• -6x - 8y - 2

Multiple Choice

What is the first step to solve this equation: 11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Multiple Choice

-12 = 5r + 8

• -4

• 4

• 3

• 6

Multiple Choice

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side.

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

Multiple Select

Place a check mark in each step that is correct. (There should be two checkmarks.)

$$\frac{x}{-3}_{\ }-\ \left(-20\right)=\ 30$$  

• Subtract 20 from both sides

• Add 20 to both sides

• Multiply by -3 on both sides

• Multiply by 3 on both sides

Multiple Choice

-(n - 8) = -2

• 6

• 10

• -10

• -6

Multiple Choice

Solve the equation:
^x/₃+ 10 = 15

• 75
• 15
• 25
• 5

Multiple Choice

Simplify the expression (this means distribute and/or combine like terms):

• 20 = 38 + 3x

• 20 = 17x + 24

Multiple Choice

Show your work:

Multiple Choice

Solve the equation.

• x = 0

• x = -6

Multiple Choice

Do I need to distribute, combine like terms, or both?

• Distribute

• Combine like terms

• Both

Multiple Choice

Simplify the expression (this means distribute and/or combine like terms):

• 12x + 33 = 117

• 9x + 36 = 117

Multiple Choice

Show your work:

Multiple Choice

Solve the equation.

• x = 9

• x = -3

Multiple Choice

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4