Algebraic Expressions Quest Review

​Algebraic Expressions Quest

​Expressions

• 9-2

• 33 ⋅ 5

• 11+22

• 12÷4

• 13+5-3

• 18(2)

• 8²-3

• 44÷8+6²

• 10³

Algebraic ​Expressions

• 9a-2

• 33 ⋅ 5m

• y+22

• 12/m

• 13+k-3

• 18(2)+w

• n²-3

• 44÷r+6²

• 10^c

Operations

Equations

• 12b=6

• 3+4=7

• 44/h=4+1

• y=6

• 4x=30

• 10=m

• 3+1=1+3

• 9m=99

• 15=5x

Match

Match each algebra vocabulary term with its example:

• m, g, h, w, a, s

• $$+-\times\div$$

• 4y=12, 5m=2.5, 3+4=7

• 4+7, 5², 4(2)+5, 9/3

• 3a+1, 5/b-2, 7(a)², b-c

Variables

Operations

Equations

Expressions

Algebraic Expressions

• Variables

• Operations

• Equations

• Expressions

• Algebraic Expressions

Match

Match each algebra vocabulary term with its example:

• m, g, h, w, a, s

• $$+-\times\div$$

• 4y=12, 5m=2.5, 3+4=7

• 4+7, 5², 4(2)+5, 9/3

• 3a+1, 5/b-2, 7(a)², b-c

Variables

Operations

Equations

Expressions

Algebraic Expressions

• Variables

• Operations

• Equations

• Expressions

• Algebraic Expressions

Match

Identify each part of the expression: 7m + 4

• 7

• m

• 7m and 4

• +

• 4

Coefficient

Variables

Terms

Operation

Constant

• Coefficient

• Variables

• Terms

• Operation

• Constant

Match

Identify each part of the expression: 18h - 3.5

• 18

• h

• 18h and 3.5

• -

• 3.5

Coefficient

Variables

Terms

Operation

Constant

• Coefficient

• Variables

• Terms

• Operation

• Constant

​LIKE TERMS:

​Like terms in algebra are terms that have the same variable raised to the same power. Only the coefficients (numbers in front) can be different.
For example, 3x and 5x are like terms, but 3x and 3y are not.

Multiple Select

Select all like terms for 8p

• 10x

• 8y

• -4p

• 5.8p

• 12p²

Multiple Select

Select any like terms for 1.5m

• 1.5w

• 7m³

• -5m

• 12.8m

• 15mm

​LIKE TERMS:

​Like terms in algebra are terms that have the same variable raised to the same power. Only the coefficients (numbers in front) can be different.
For example, 3x and 5x are like terms, but 3x and 3y are not.

Multiple Select

Select all like terms for 17k

• 8kp

• 5.5k²

• -3.1k

• 45k

• 17

Multiple Select

Select all like terms for 15g²

• 10g
• 15g
• 3g²

• -1.9g²

• 22g³

Multiple Choice

Simplify the expression by combining like terms:

6c+12+4c+3

• 10c + 15
• 10c + 10
• 6c + 18
• 12c + 12
• 8c + 10

Fill in the Blank

Simplify the expression by combining like terms:

8k+5+3k+1

+

Fill in the Blank

Simplify the expression by combining like terms:

14w-3-4w-3

-

Fill in the Blank

Simplify the expression by combining like terms:

30m+5+30m-5

Fill in the Blank

Simplify the expression by combining like terms:

86y-6

-

Fill in the Blank

Simplify the expression by combining like terms:

5+3b-4m-4+b

+

-

Fill in the Blank

Simplify the expression by combining like terms:

a+b+c+2a+3b+4c

+

+

Multiple Choice

Which property is demonstrated?

8m+5 = 5+8m

• Distributive Property
• Inverse Property of Addition
• Associative Property of Addition
• Commutative Property of Addition
• Identity Property of Addition

Multiple Choice

Which property is demonstrated?

(a + b) + c = a + (b + c)

• Inverse Property of Addition
• Commutative Property of Addition
• Distributive Property
• Associative Property of Addition
• Identity Property of Addition

Fill in the Blank

Rewrite 5m+9 using the commutative property:

+

Fill in the Blank

Rewrite (3m+5s)+12 using the associative property:

+

(

+

)

Multiple Select

Select all equivalent expressions to 5c

• c+c+c+c+c

• $$c\cdot c\cdot c\cdot c\cdot c$$

• c⁵

• 3c+2c

• 6c-c

Multiple Select

Select all equivalent expressions to 4b-12m

• -8b

• 5b-b-10m-2m

• 2b(2)-6m(2)

• 8bm

• 4(b-3m)

Multiple Choice

Rewrite 6n+15p+30w using the distributive property and greatest common factor:

• (6n + 15p + 50w) + 1
• np(6+15+30w)

• 5(n + 3p + 5w)

• 2(3n + 7p + 25w)

• 3(2n+5p+10w)

Fill in the Blank

Rewrite 4a+8b+2c using the distributive property and greatest common factor:

(

+

+

)

Fill in the Blank

Rewrite the expression using the distributive property:

3m(2+2y+2r)

+

+