Algebra Review

Let x =

100

Let x=4

7x

28

200

Let y=6

10y²

360

300

Let z= 2 

(3z)²+2z³

52

400

Let x = 8

 2x² – (x + 4²) ÷ 6

124

500

Let y=½: 

10y – y² 

4 ³/₄ 

Evaluate

100

3³

27

200

7(2)³

56

300

20+4(2+3)²-15

105

400

120-(2³+10)

102

500

12·2³÷3+20

52

Notation

100

What is the expanded notation of

y⁵

y⋅y⋅y⋅y⋅y

200

What is the exponential notation of 

x(x)(x)(x)

x⁴

300

What is the expanded notation of:

a³b²c⁴d

a⋅a⋅a⋅b⋅b⋅c⋅c⋅c⋅c⋅d

400

What is the exponential notation of 

q(q)(q)(r)(s)(s)(s)(s)

q³rs⁴

500

What is the expanded notation of 

m³n⁵p¹

m⋅m⋅m⋅n⋅n⋅n⋅n⋅n⋅p

Perimeter/Area

100

Find the area of a rectangle with a length of 10 in and a width of M in

10M in²

200

Find the perimeter of an equilateral triangle with each side measuring 3w ft.

9w ft

300

Find the area of a square with a side of X and

Let X = 1.5 cm

2.25 cm²

400

Find the area of a rectangle with a width of ‘g’ inches and a length that is four times larger than the width.

4g² in²

500

Find the area of a rectangle with a width of 6 inches and a length of (p+10) inches.

6p+60 in²

Distributing and Factoring

100

Write an equivalent expression:

6 ( x + 12 )

6x+72

200

Factor this expression using the GCF:

4x + 8

4(x+2)

300

Write an equivalent expression:

12 ( a² + 2b + 4c )

12a²+24b+48c

400

Factor this expression using the GCF:

 4xy + 6xz + 2x

2x(2y+3z+1)

500

Write an equivalent expression:

3a(a+c) 

3a²+3ac