Algebraic Midterm Review!

Exponent laws

100

Simplify the following:

3² x 3⁸ x 3³

3¹³

200

Simplify and evaluate:

(8³ x 8 x 8⁴) / (8²)³

8² = 64

300

Simplify:

(6x³)(-3x⁵)

-18x⁸

400

Simplify:

(-48c²d⁴)/(-8cd)

6cd³

500

Simplify:

(3m²n⁷/m)⁵

243m⁵n³⁵

Negative Exponents

100

Evaluate:

5^-3

1/125

200

Write with positive exponents:

2b^-3

2/b³

300

Simplify, with positive exponents:

4a³b² x 3a^-4b^-3

12/ab

400

Simplify:

(2a⁴y^-3)^-1

y³/2x⁴

500

3x³y^-1z^-1 / x^-4y⁰y⁰

3x⁷/yz

Algebra Basics

100

Simplify:

4m-7m+m

-2m

200

Simplify:

(7m-2n) - (2m-9n)

5m+7n

300

Simplify:

4n-(7-6n)

10n-7

400

Simplify:

-9(1-10n)-2(3n+9)

-27+84n

500

Simplify:

2a(a²+3(a-7))

2a³+6a²-41a

Solving Equations

100

2a+3=11

a=4

200

5h+3=3h+11

h=4

300

2(5-3r)=-4r-16

r=13

400

(n+5)/-16 = -1

n=11

500

(3-5y)/4 = (2-4y)/3

y=-1

Word Problems

100

Convert into an algebraic expression:

half a number minus 5

x/2 -5

200

Convert into an algebraic expression:

18 less than 3 times a number is equal to a number increased by 2

3x-18=x+2

300

Mike and Sarah collect rocks. Together they collected 50 rocks. Mike collected 10 more rocks than Sarah. How many rocks did each of them collect?

Mike collected 30 rocks, Sarah collected 20 rocks

400

Emma and Liam are saving money. Emma starts with $80 and saves $10 per week. Liam starts with $120 and saves $6 per week. After how many weeks will they have the same amount of money?

10 weeks ($180 each)

500

Three consecutive odd integers add to 417. What are the 3 integers?

137, 139, 141