Pre-Algebra Quiz Review

Pre-Algebra Quiz Review

By Brittany Johnson

Order of Operations

• Perform operations in Parentheses

• Evaluate numbers with Exponents

• Multiply or Divide from left to right

• Add or Subtract from left to right

Multiple Choice

Evaluating exponents is the ___________ step when following order of operations.

• first

• second

• third

• fourth

Example:

Multiple Choice

Evaluate: $$6\times15-10\div2$$  

• 40

• 85

• 60

Example:

Multiple Choice

Evaluate:

$$5^2-5\left(10-5\right)$$  

• 15

• 100

• 0

Multiple Select

Select all the terms that are like  $$8b^2$$  

• $$4$$  

• $$4b$$  

• $$4b^2$$  

• $$16b$$  

• $$20b^2$$  

Multiple Choice

Which term doesn't belong?

• 2x

• 66x

• 9x²

• -22x

• x

​Combine Like Terms

• ​Like terms must have the exact variable.

• ​Constants have no variables

• Simplified answer:

• ​7y - 7x -2

• OR

• ​-7x +7y - 2

Multiple Choice

Simplify the expression.

• 15

• 13y

• 5x + 8y

• 14y - 1

Multiple Choice

Combine the Like Terms to Simplify the Expression:

$$3x\ +\ 4y\ +\ x\ +\ 2y$$  

• $$4x\ +\ 6y$$  

• $$10xy$$  

• $$10xy\ +\ 6y$$  

• $$3x\ +\ 6y$$  

Multiple Choice

Use your notes to write this equation in another form...

9(4+3)

• 9(4)+9(3)

• 3(4)+9(3)

• 4(9)+4(3)

Multiple Choice

Use your notes to write this equation in another form...

6(1-7)

• 7(1)-7(6)

• 1(6)-1(7)

• 6(1)-6(7)

Multiple Choice

Which of the following is the factored expression for 12x + 6

• 6(2x+1)

• 12(x+1)

• 2(x+3)

Multiple Choice

12(3 + 4) =

• 36 + 48
• 15 + 16
• 123 + 124
• 0.84

Multiple Choice

What is the simplified version of this expression? $$7\left(5x-1\right)$$  

• $$35x+7$$  

• $$35x-1$$  

• $$35x-7$$  

• $$-35x-7$$  

Multiple Choice

6(x + 1) - 5(x + 2)

• 2x + 8
• x - 4

using inverse operations (opposite)

​

isolate the variable

Multiple Choice

What does isolate the variable mean?

• Get the variable alone

• Get rid of the variable

Use Inverse Operations to isolate the variable

• Inverse of addition - subtraction

• Inverse of subtraction - addition

• Inverse of multiplication - division

• Inverse of division - multiplication

Multiple Choice

Which of the following inverse operations is incorrect?

• inverse of addition is subtraction

• inverse of multiplication is division

• inverse of division is squaring

• inverse of multiplication is division

Multiple Choice

z/4 = -8

• z = -32

• z = 32

• z = 2

• z = -2

Multiple Choice

7 + g = 11

• g = 4

• g = -4

• g = 18

• g = -18

Multiple Choice

How do we solve -2k = -100?

• multiply by 2 on both sides

• divide by 2 on both sides

• add 100 to both sides

• divide by -2 on both sides

Solving Two- Step Equations

Step One

The first step is to UNDO the addition or subtraction using inverse operations

Multiple Choice

How do we solve f - 12 = -4

• add -12 to both sides

• subtract 12 from both sides

• add 12 to both sides

• add 4 to both sides

Multiple Choice

Which equation shows the results of undoing the addition in the equation?

$$5x+4=-16$$  

• $$5x\ =\ 12$$  

• $$5x\ =\ -20$$  

• $$4x\ =\ 11$$  

• $$4x\ =\ -21$$  

Step Two

The second step is to UNDO the multiplication or division using inverse operations

Multiple Choice

Which equation shows the results of undoing the multiplication in the equation?  

$$5x=-20$$  

• $$x=4$$  

• $$x=25$$  

• $$x=-15$$  

• $$x=-4$$  

Multiple Choice

The steps in solving 5b - 6 = 24 are:

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

-3a + 8 = 14

• a= -2

• a= -7.5

• a= 2

• a= 6