Math I - Algebraic Expressions Review

Combining Like Terms

100

Simplify (combine like terms):

4 + 2n + 3n

4 + 5n

200

Simplify (combine like terms):

11m - 5m - 13

6m - 13

300

Simplify (combine like terms):

7x - 4x + 6 - 2

3x + 4

400

Simplify (combine like terms):

-8x - 2y + 23x - 6y

15x - 8y

500

Simplify (combine like terms):

4(a - 4) + 3(9 - a)

a + 11

Factoring

100

Factor:

5m - 15

5(m - 3)

200

Factor:

2p - 9

Prime

300

Factor:

6k + 21

3(2k + 7)

400

Factor:

24y - 40

8(3y - 5)

500

Simplify & Factor:

4x - 2 - x + 23

3(x + 7)

Monomials

100

Simplify:

7m² - 9m²

-2m²

200

Simplify:

x⁵ * x⁴

x⁹

300

Simplify:

a¹²/a²

a¹⁰

400

Simplify:

3y² * 4y⁶

12y⁸

500

Simplify:

(k³)⁵

k¹⁵

Scientific Notation

100

Evaluate the expression.  Give your answer in Scientific Notation.

(2 x 10³)(3 x 10⁴)

6 x 10⁷

200

Evaluate the expression.  Give your answer in Scientific Notation.

(3 x 10⁷)(3 x 10⁶)

9 x 10¹³

300

Evaluate the expression.  Give your answer in Scientific Notation.

(6 x 10⁵)/(2 x 10³)

3 x 10²

400

Evaluate the expression.  Give your answer in Scientific Notation.

(4 x 10³)(6 x 10⁴)

2.4 x 10⁸

500

Evaluate the expression.  Give your answer in Scientific Notation.

(5 x 10⁴) + (4 x 10⁵)

4.5 x 10⁵

Polynomials

100

Write the polynomial in standard form:

-8n + n² + 14

n² - 8n + 14

200

Write the polynomial in standard form:

p - 2p² + 1 - 4p³

-4p³ - 2p² + p + 1

300

Find the sum.  Give your answer in standard form.

(7x + 15) + (4x - 9)

11x + 6

400

Find the sum.  Give your answer in standard form.

(7r + 5r² - 6) + (8r + 3r² - 1)

8r² + 15r - 7

500

Find the difference.  Give your answer in standard form.

(4k² + 5 - 4k) - (9k - 2 - 5k²)

9k² - 13k + 7