Ms. B's Expressions Review

Distributive Property

100

Simplify: a(b+c)

a(b + c) = ab + ac

This is the distributive property.

200

Simplify: (3 - a)4

12 + -4a or 12 - 4a

300

Simplify using the distributive property.

5(x+2) 

5x+10

400

Rewrite using the distributive property.

(4y-7)(-4)

-16y+28

500

Simplify: 

-3 (3 - 3y)

-9 + 9y

or 9y - 9

Simplifying Algebraic expressions

100

Simplify the expression.

-9a+4a

-5a

200

Simplify the expression.

-4x-3-2x+5

-6x+2

300

3x - 2y + 7x + 5y + 12

10x - 3y + 12

400

Simplify the expression.

-2y+3(5-y)-10+4y

-y+5

500

Simplify the expression.

3y - 4(2x - 4y)

19y-8x

-8x+19y

Adding Linear expressions

100

Add the following linear expressions.

(2x-5)+(-5x+10)

-3x+5

200

Add the following linear expressions.

(-3x-8)+(2x+9)

-x+1

300

Add the following linear expressions.

6(-2x-1)+(5x+4)

-7x-2

400

Add the following linear expressions.

(4x-14)+2(-5x+14)

-6x+14

500

A triangle has sides 4x + 3, 5x + 1, and 10x - 5. What is its perimeter?

19x - 1

Subtracting Linear Expression

100

Subtract the linear expressions.

(3x+2)-(5x+6)

-2x-4

200

Subtract the linear expressions.

(-3x+4)-(8x+4)

-11x

300

Subtract the linear expressions.

(5x-7)-(-x-9)

6x+2

400

Subtract the linear expressions.

(3x-5)-(-8x+1)

11x-6

500

One week, Sam made (3x+4) dollars. The following week he made (x+8) dollars. How much more did he make the first week?

(2x-4) dollars

Factoring and Parts of an Expression

100

What are the coefficients of this expression:

3x² - 14x + 5y - 7

3, -14, and 5

200

Factor the linear expression

36x+6

6(6x+1)

300

Factor the linear expression. 

12xy-20x

4x(3y-5)

400

What are the like terms of this expression:

4xy + 10yx + 5xy² - 1 x²y

4xy and 10yx

500

What is the GCF of 36x²y⁴ and 45x³

9x²

(no y in second term so ignore the y variable)

Random Trivia

100

What are the five great lakes?

Erie, Huron, Ontario, Superior, Michigan

200

How many minutes are in a week?

10,080 minutes

300

In what country is the tallest building in the world?

United Arab Emirates

400

What country was the first to allow women to vote?

New Zealand (1893)

500

What is Billie Eilish's full name? (spelling doesn't have to be perfect)

Billie Eilish Pirate Baird O'Connell

Math Trivia

100

True or False: 64 is both a Perfect Square and a Perfect Cube

True (8 • 8 = 64 and 4 • 4 • 4 = 64)

200

What mathematical property of numbers states that the order of the terms when performing addition or multiplication does not affect the end result

Commutative Property

300

What are the measures of central tendency?

Mean, Median, Mode, and Range

400

In math, ∠EFG can be used to describe an angle with a vertex at this point?

Point F

500

The sum of the interior angles in a triangle will always equal this number.

180º