Write and Identify Equivalent Expressions Review

Multiple Select

Which words are other ways of saying equivalent? Select all that apply.

• Same in Value

• Equal

• Balanced

• Tall

• Odd

Multiple Choice

Equivalent means

• evil.

• different.

• red.

• equal.

• fun.

Multiple Choice

Which expression is equivalent to 28 + 7?

• 7(4+1)

• 4(7+1)

• 4(7+3)

• 7(4+7)

• 1(14+2)

Multiple Select

Mark all expressions that are equivalent to 6y.

• 7y-y

• 6+y

• y+y+y+y+y+y

• y · y · y · y · y · y

• 2(3y)

Multiple Select

Which expression or expressions are equivalent to the expression 10m + 4y + 2y? Select ALL that apply.

• 2(5m+2y+y)

• 6y+10m

• 16m

• 80my

• 5m+5m+6y

Multiple Choice

Which expression shows 9k + 4m - 10 rewritten using the commutative property?

• 10 (4m + 9k)

• 4m - 10

• 4m + 9k - 10
• 9k - 10m + 4m

• -10 - 9k

Multiple Choice

Which expression shows 5p - 15 + 8m rewritten using the commutative property?

• 5p + 8m - 15
• m + 5p - 15

• 35pm

• 15 + 5p - 8m

• 5p - 15 + 8m

Multiple Choice

Which expression shows (3p + 15g) + 7 rewritten using the associative property?

• 3p + (15g + 7)

• 7 + 3p + 15g
• 15g + 10

• 15g + 3p + 7

• p(3+5g+1)

Multiple Choice

Which expression shows 9k + 4m + 10 rewritten using the associative property?

• 9k + (4m + 10)
• 1(9k+4m+10)

• 10 + 9k + 4m
• 13m + 12

• 4m + 10 + 9k

Multiple Choice

Which expression shows 10k + 6m + 2 rewritten using the distributive property?

• 2(5k + 3m)
• 3(3k + 2m + 1)
• 4(2k + 1.5m)
• 5(k + m + 1)
• 2(5k + 3m + 1)

Multiple Choice

Which expression shows 4(x+3) rewritten using the distributive property?

• 4x + 6
• 4x + 3
• 4x + 12
• 4x + 9
• 4x + 15

Multiple Select

Select all expressions that are equivalent to 11m:

• m¹¹

• (11)(m)

• $$\frac{22m}{2}$$

• $$11\cdot m$$

• 10m + m

Categorize

Options (4)

Sort each pair of expressions into either the "Not Equivalent" or the "Equivalent" category:

Not Equivalent

Equivalent

Multiple Choice

A _____________ is a symbol, usually a letter, that stands for a number. 

• coefficient
• algebraic expression
• variable
• term
• vegetable

Multiple Choice

Simplify the expression by using the Distributive Property:

-8(6x + 3)

• 48x+3

• -48x-3

• 14x+3

• -48x + -24

• 72x

Multiple Choice

Look at the model. Which of the following algebraic expressions could it represent?

• 3x + 4 + 2x + 1
• 7x + 3x
• 3x + 2x
• 4 + 1
• 10

Multiple Choice

Simplify the following

• 5 + 3x

• 8x

• 8

• 3x + 5x

• 3.1 + 2.2

Multiple Choice

Which expression is equivalent to

v + v + v + v + v?

• 5v

• v⁵

• v + 5

• 5

• v

Multiple Choice

Which Property is shown?

(5 + 3) + 2 = 5 + (3 + 2)

• Commutative of Addition

• Commutative of Multiplication

• Associative of Addition

• Identity

• Private

Multiple Choice

Find an equivalent expression using the Commutative Property:
4 x 3 x 5

• 4 + 3 x 5
• 5 x 4 x 3
• 5 + 4 + 3
• 3x + 5
• 60

Multiple Choice

Which is an example of the Additive Identity Property.

• 5 x 0 = 0
• 8 x 3 = 3 x 8
• 12 x 1 = 12
• 8 + 0 = 8

Multiple Choice

Which is an example of the Multiplicative Identity Property.

• 1 x 3 = 3
• 7 x 0 = 0
• 12 + 0 = 12
• 2 x 3 = 3 x 2
• 8 = 5 + 3

Multiple Choice

-3 (a + 3) =

• 3a - 9

• -3a + 9

• 3a + 9

• -3a - 9

• 9 -3a

Multiple Choice

How would you write 3x3x3x3x3x3 in exponential notation?

• 3333333

• 729

• $$3^6$$

• $$3^9$$

• 27

Multiple Choice

How would you write $$3^4$$  in expanded notation?

• 3  + 3 + 3 + 3

• 3 x 3 +3 + 3

• three to the fourth power

• 3 x 3 x 3 x 3

• 3 x 4

Categorize

Options (6)

3(g+3y+1)

9y+3g+3

g+g+g+9y+1+1+1

15

(3+y+1)

30gy

Sort each expression into whether it IS or ISN'T equivalent to 3g+9y+3

Equivalent to 3g+9y+3

NOT Equivalent to 3g+9y+3

Multiple Choice

Which expression is equivalent to 4(x + 6)?

• 4x + 6
• 4x + 24
• x + 24
• 10x + 24

Multiple Choice

Which expression is equivalent to 7(3a + 4b)?

• 21a + 28b
• 10a + 11b
• 21a + 4b
• 10a + 28b

Multiple Choice

Use the distributive property to find an equivalent expression: 5(2f + 4)

• 10f + 4
• 10f + 9
• 10f + 20
• 30f

Multiple Choice

Which expression is equivalent to 15x + 10 - 6x - 1?

• 9x + 9
• 18x
• 15x - 3
• 9x + 11

Multiple Choice

Simplify $$6y+4m+3\left(3y+m\right)$$

• $$10m+6y$$

• $$15m+7y$$

• $$15y+7m$$

• $$5m+9y$$

Draw

Identify each set of like terms using different patterns or symbols:

Multiple Choice

Simplify by combining like terms: $$5fh+4f^3h-fh+6f^3h$$

• $$6fh+12h^3f$$

• $$10h^3f+4f$$

• $$2fh+8f^3h$$

• $$4fh+10f^3h$$

Draw

Circle the error.

Draw

Circle the errors.

Multiple Choice

Which of the following expressions is equivalent to $$7x+12$$

• $$12+7x$$

• $$7+12x$$

• $$19x$$

• $$7\left(x+12\right)$$

• $$84x$$

Multiple Choice

Which expression is equivalent to 3a² + 6a + 5a²?

• 14a²
• 14a
• 8a² + 6a
• 3a² + 11a
• 7a + 2

Multiple Choice

Simplify by combining like terms: 7t - 3t + t - 3t

• 2t

• 8t - 6t

• 14t

• Can't be simplified

• 3(t + 7)

Multiple Choice

What expression represents the area of this shape?

• 6x + 18y + 12

• 6x + 3y + 2

• 6x + 18y + 2

• 12xy

• 6+x+3y+2

Multiple Choice

Identify the property shown: $$ab\ -ac=a\left(b-c\right)$$  

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

• Beachfront Property

Multiple Choice

The cost of a school play is $12 + 4n where n is the number of people attending. What is the cost for 60 people?

• $472

• $252

• $960

• $76

• $480

Multiple Choice

Which expression is equivalent to $$9n+3$$ after combing like terms?

• $$10n^2-n^2-3$$

• $$3n+7-4+3n$$

• $$18-15+4n+5n$$

• $$7n^2+2n+6-3$$

Multiple Choice

Identify the coefficients.
$$4y\ +7x$$  

• $$4y\ \ \ and\ \ \ \ 7x$$  

• $$4\ \ \ \ and\ \ \ \ 7$$  

• $$y\ \ \ \ \ and\ \ \ \ x$$  

• $$4y$$  

• +

Multiple Choice

Combine like terms to simplify the following expression.
$$7x\ +2x+4y+18\ -7-4x-y$$  

• $$5x\ +3y-11$$

• $$13x+4y-11$$  

• $$5x+3y+11$$  

• $$5x+3y+25$$  

• $$8x-4y-25$$

Multiple Choice

Apply the Distributive Property:

$$5\left(2x^2-1\right)$$  

• $$10x^2-5$$  

• 20x - 5

• 5

• $$7x^2-4$$  

• 5x²

Multiple Select

Which answer choices are equivalent to:

4(2x-5)+6x

Select all that apply.

• 2(7x-10)

• 14x-20

• 20-14x

• 14x-5

• 8x-20+6x