Algebra

Order of Operations

100

18 − 6 ÷ (2)(3)

What is 9?

200

(8)(7) − 5²

What is 31?

300

3(12 − 8)²

What is 48?

400

    8 + 5(9 − 3)

What is 38?

500

18 ÷ (4 − 1²)

What is 6?

Combining Like Terms

100

8a + 15a + a + 9

What is 24a + 9

200

5x + 35 + 3x + 2

What is 8x + 37

300

32 + 12t + 16t + 8

What is 28t + 40

400

6p + 32e + 16p + 2e + 4p + 4

What is 26p + 34e + 4

500

m + 20n + 25m + 6n

What is 26m + 26n

Equivalent Expressions

100

Are 12 + 3x and 3(4 + x) equivalent expressions?

Yes they are

200

Are 30y - 15 and 3(10y + 5) equivalent expressions?

No

300

An equivalent expression of 24x - 16

What is 4(6x - 4)

Answers may vary

400

Are 5x + 4(2x + 3) and 13x + 12 equivalent expressions? 

Yes

500

What is the most simplified equivalent expression of 5x(3 - 2)?

What is 3x

Distributive Property

100

Simplify using the distributive property

3p + 4e + 2(2p + 3e)

3p + 4e +4p + 6e

=7p +10e

200

Simplify using the distributive property

2r + 3x + 2(r - x)

4r + 1x or 4r - x

300

Simplify using the distributive property

5t + 2c(1 + 3)

=5t + 8c

400

Simplify using the distributive property

6v + 4r + 2(3x + 2r + 5v + x)

=16v + 8r + 8x

500

Simplify using the distributive property

3(8s - 1) + 16s + 3(2m + 1)

=40s + 6m

Evaluate Expressions

100

b³ – y – o

when b=-2, y=-5, and o=3

What is -6?

200

(4g – o)²

when g=-2 and o = 3

What is 121?

300

√𝑟 + bd 

when r=36, b=-5, and c=-4

What is 26?

400

d + 1/2 (y + g)

when d=-5, y=12, and g=14

What is 8?

500

(3r + 4.5) – |𝑑| 

when r=4 and d=-15

What is 1.5?