Unit 2 Test Review

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Unit 2: Algebraic Expressions Test Review Session

By Ilyse Marcinkiewicz

Match

Match each verbal expression with the correct numerical or algebraic expression

• The shirt is $20. The pants are twice the cost and $10 off.

• The video game is $20 more than five times the cost of the book 

• The off-brand shoes are $20 less than half the cost of the name-brand shoes 

2(20) - 10

5x + 20

• 2(20) - 10

• 5x + 20

• $$\frac{1}{2}x\ -20$$

Math Response

SImplify the expression

$$4x-2+5x$$

Type answer here

Correct Answer: 7x-2

Deg^°

Rad

Multiple Choice

Which of the following simplify to $$-3x^2+6x$$

• $$x+6-3x^2$$

• $$3x+3x^2+3x-3x^2$$

• $$7x-x+x^2-4x^2$$

Math Response

Simplify $$-2\left(3x-10\right)$$

Type answer here

Correct Answer: -6x+20

Deg^°

Rad

Match

Match each expression with its equivalent factored form

• 9x-18

• 20x-16

• 20x-10

3(3x-6)

4(5x-4)

2(10x-5)

• 3(3x-6)

• 4(5x-4)

• 2(10x-5)

Categorize

Options (4)

$$8x^8-7x^8$$  

$$2x^8-7x^8+6x^8$$  

$$x^8-2x^8$$  

$$6x^8+x^8-8x^8$$  

Simplify the expressions and put them in the categories to either equal $$x^8$$ or $$-x^8$$ $$x^8$$ $$x^8$$ $$-x^8$$

x^8

-x^8

Draw

Jamie and Jackson both simplified the expression 2(x + 4) - 7(x + 2), but they ended up with different answers. Who made a mistake? Explain the mistake?

Multiple Select

Consider x represents the cost of a shirt and y represents the cost of a hat.  

Class A ordered 20 shirts and 10 hats. Class B ordered 30 shirts and 15 hats. 

What expression represents the total cost of hats and shirts for both classes? Select all that apply. 

• $$20x\ +\ 30x\ +\ 10y\ +\ 15y$$

• $$10x\ +\ 5x\ +\ 20y\ +\ 12y$$

• $$50x\ +\ 25y$$

• $$30x\ +\ 45y$$

Multiple Select

Which expressions are monomials?

• $$5xy^4$$

• $$5x-6y$$

• $$9+y^4$$

• $$20x$$

Categorize

Options (4)

$$x\left(4x^2\right)$$  

$$x^2\cdot4x^2$$  

$$5x-2x$$  

$$6x^2+x^2$$  

Simplify the expressions below.  

Choice 1: Which expressions did you have to combine like terms to simplify? 

Choice 2: Which expressions required you to add the exponents together to simplify?  

Sort the expressions into the correct categories. (Choice 1 or 2) 

Choice 1

Choice 2

Math Response

What is the product of $$4x^{3\ }$$ and $$-2x$$

Type answer here

Correct Answer: -8x^4

Deg^°

Rad

Math Response

SImplify $$10x^3y^2\div5x$$

Type answer here

Correct Answer: 2x^2y^2

Deg^°

Rad

Math Response

Simplify $$8x^6y^2\div4x^5y$$

Type answer here

Correct Answer: 2xy

Deg^°

Rad

Reorder

Sort the numbers from the smallest to the largest number.

• $$0.002$$

• $$1\times10^{-2}$$

• $$1\times10^2$$

• $$1000$$

1

2

3

4

• 1
• 2
• 3
• 4

Draw

Barbara added $$3.5\times10^2$$  and $$4.5\ \times10^4$$  to get $$8\times10^4$$ .

Is she correct or incorrect? Why?

Math Response

Simplify

$$\left(4\times10^2\right)\cdot\left(1.5\times10^6\right)$$

Type answer here

Correct Answer: 6\times10^8

Deg^°

Rad

Math Response

Simplify

$$\left(6.9\ \times10^{10}\right)\div\left(3\times10^2\right)$$

Type answer here

Correct Answer: 2.3\times10^8

Deg^°

Rad

Math Response

You are watching a game show and the winning game prize is $$\text{4.85}\times10^5$$

How much money is the prize?

Type answer here

Correct Answer: 485000

Deg^°

Rad

Any Questions?