Algebra I Unit 2 Test Review

Exponents

100

Simplify:

(3³x⁴)⁰

1

200

Simplify:

8a⁶ / 2a³

4a³

300

Simplify:

5x³ / 10x⁷

1 / 2x⁴

400

Simplify:

(2j^-3k)^-5(jk⁴)³

(2^-5j¹⁵k^-5)(j³k¹²)

j¹⁸k⁷ / 2⁵

500

Simplify:

(4x⁴y² / 2x²y²)^-2

(2x²y² / 4x⁴y²)²

4x⁴y⁴ / 16x⁸y⁴

1/ 4x⁴

Polynomials

100

Combine:

(3a²-24ab + 16b²) + (a² + 10ab - 4b²)

4a² -14ab +12b²

200

Multiply:

(3x - 4)(2x + 6)

6x² + 10x - 24

300

Multiply:

(6y²-2)(6y+2)

36y³ + 12y² - 12y - 4

400

Multiply:

(-5x - 3)²

(-5x-3)(-5x-3) = 25x²+30x+9

500

Multiply:

(-4a - 2b)(3a² - 12ab + 6b²)

(-4a - 2b)(3a² - 12ab + 6b²)

-12a³ + 48a²b - 24ab² - 6a²b + 24ab² - 12b³

-12a³ + 42a²b - 12b³

Coin & Consecutive Integers Problems

100

The way to represent four consecutive odd integers.

x, x+2, x+4, and x+6

200

Three consecutive even numbers that total 216.

70, 72, & 74

300

The number of quarters in Mrs. Boyd's wallet if she has 22 coins total consisting of quarters and dimes with a value $4.30. 

14 quarters

400

Three consecutive even integers such that the sum of the first and third integers is three times the second integer. 

-2, 0, 2

500

Three sisters Anna, Beth, and Cate were born in consecutive years. The sum of their birth years is equal to 18³. This is Beth's birth year.

1944

Systems of Equations

100

The 3 methods to solving a systems of equations.

1. Graphing

2. Substitution

3. Elimination

200

Parallel lines have this many solutions.

0

300

The y-coordinate of the solution to this system:

y = x + 8

x + 2y = 1

3

400

The solution to this system:

y = 3x - 5

y = 2x

(5, 10)

500

The solution to this system:

2x - 3y = 4

4x + y = -6

(-1, -2)

Factoring

100

The factored form of 

x² - 11x + 24

(x - 3)(x - 8)

200

The complete factored form of:

12x² - 32x + 5

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

300

The factored form of:

9a² + 12a + 4

(3a + 2)(3a + 2) = (3a + 2⁾²

400

The complete factored form of:

-4x² + 6x + 40

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

500

The complete factored form of:

36y³ + 12y² - 12y - 4

4(3y² - 1)(3y + 1)