Review Variable and Expressions

Expressions Review

Unit 3 Review:

Exponents

Order of Operations

Evaluating Expressions

Writing Expressions

Simplifying Expressions

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

• 5³

• 5⁴

• 4⁵

• 5⁵

Multiple Choice

Which is equivalent to 7^{2 ?}

• 14

• 9

• 49

• 48

Multiple Choice

ANY (non-zero) number raised to the zero power equals...?

• 0

• 1

• 2

• it depends on the number

Order of Operations

Do these STEP by STEP to avoid making mistakes!

Multiple Choice

12 - (-4) x 2 = 

• 16
• 4
• 20

• 18

Multiple Choice

-(6² – 10 ÷ 5) - 2

• -36

• 36

• -32

• 32

Parts of Expressions

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Multiple Choice

What is the name of a number that is multiplied by a variable, such as the "13" in the term "13x?"

• constant

• coefficient

• exponent

• variable

Multiple Choice

Which of the following is NOT found in this expression?

• coefficient

• variable

• sum

• difference

Translating Words to Mathematical Expressions

Look for KEY WORDS so you know which operations to use.

Multiple Choice

Which expression represents 80 less than a number?

• c - 80

• 80 - c

• c + 80

• $$\frac{c}{80}$$

Multiple Choice

Which expression represents the statement?

7 more than the sum of 2 and x squared

• $$\left(2\ +\ x^2\right)\ +\ 7$$  

• $$\left(2\ +\ x^3\right)\ +\ 7$$  

• $$\left(2\ -\ x^2\right)\ -\ 7$$  

• $$2x^2\ +\ 7$$  

Evaluating Expressions with Variables

Substitute the number in place of the variable and solve!

Multiple Choice

Evaluate the expression if k = 4

$$6\ +\ 2k\ +\ k^2$$  

• 30

• 38

• 22

• 46

Multiple Choice

The expression 5 + 2m can be used to find the total price for a taxi trip that is m miles long.

How much will it cost if m = 3?

• 11

• 31

• 28

• 13

Combining Like Terms

Like terms have the same variable(s) to the same power (exponent)

Multiple Choice

Which pair are like terms?

• 2x and 2y

• 2x and x²

• 2x and 5x

• 2x and 3xy

Multiple Choice

$$6r^2\ +\ 8r\ +\ 2r\ -\ 4r^2$$  

Simplify by combining like terms:

• $$2r^2\ +\ 10r$$  

• $$10r^2\ +\ 10r$$  

• $$20r^2$$  

• $$2r^2\ +\ 6r$$  

Distributive Property

Distribute the number OUTSIDE the parentheses by MULTIPLYING it by EVERY number INSIDE the parentheses.

Multiple Choice

Completely simplify using the distributive property:

12(2x + 5 + 1)

• 24x + 5

• 122x + 125

• 24x + 60

• 24x + 72

Multiple Choice

Which expression is equivalent?

• 5(3m - 2n)

• 6(2m + 4n)

• 2(6m + 10n)

• 2(6m + 5n)

Draw

Draw something that makes you happy. :)

Mixed Review

Multiple Choice

Each of these expressions indicates what operation?

   

6(x), 6x,    6  $$\cdot$$  4

• addition

• multiplication

• division

• it depends on the number

Multiple Choice

Simplify:

10(7x + 4) - 40

• 70x + 64

• 70x + 80

• 70x

• 107x + 4

Multiple Choice

Which expression does NOT equal the others?

• 9(2 + 3)

• 9(5)

• 18 + 27

• 18 x 27

Multiple Choice

Simplify:

3(2x + 5) + 4x

• 10x + 15

• 6x + 15

• 36x + 15

• 15x

Multiple Choice

Which expression represents "the quotient of x and the difference of 3 and y?"

• $$\frac{x}{3\ -\ y}$$

• 3x - y

• $$\frac{3\ +\ x}{y}$$

• x(3 + y)

Match

Match the following parts of the expression.

• coefficient(s)

• exponent(s)

• constant(s)

• variable(s)

1 and 6

2

2 and 3

x

• 1 and 6

• 2

• 2 and 3

• x

Poll

If you had to take the test today, what grade would you expect to earn?

• A

  90 - 100

• B

  80 - 89

• C

  74 - 79

• D

  70 - 73

• F

  0 - 69