Algebraic Expressions Review

Write in Standard Form

100

Rewrite the polynomial in standard form.

-3z⁴

-3z⁴

200

Rewrite the polynomial in standard form.

8q + q⁵

q⁵ + 8q

300

Rewrite the polynomial in standard form.

4 + 5x² − x

5x² − x + 4

400

Rewrite the polynomial in standard form.

t² − t³ − 10t

− t³ + t² − 10t

500

Rewrite the polynomial in standard form.

x³ - x⁴ + x

-x⁴ + x³ + x

Combining Like Terms

100

Simplify the expression by combining like terms:

4x + 5 - x

3x + 5

200

Simplify the expression by combining like terms:

6 - y + 3

9 - y

300

Simplify the expression by combining like terms:
2p² + 5 - p² + 4

p² + 9

400

Simplify the expression by combining like terms:

4t² - 8t - 6t² + 3t

-2t² - 5t

500

Simplify the expression by combining like terms:

-3z² + z - 4z + 5 + z²

-2z² - 3z + 5

Distributive Property

100

Simplify the expression:

4(x + 2)

4x + 8

200

Simplify the expression:

-2(x - 5)

-2x + 10

300

Simplify the expression: 

10x - (5x + 1) + 2x

7x - 1

400

Simplify the expression: 

x(3 + 2) - 4x

x

500

Simplify the expression:

-(8 - 3x) + 3x

-8 + 6x

Creating Algebraic Expressions

100

4 more than a number

x + 4

200

2 less than a number

x - 2

300

The product of a number and 5

5x

400

3 more than one third of a number

x/3 +3

500

4 more than twice a number

2x + 4

Adding & Subtracting Polynomials

100

Simplify the expression by adding these polynomials:

(3x² - 2x + 4) + (5x² + 6x - 3)

8x² + 4x + 1

200

Simplify the expression by subtracting these polynomials:

(5x³ + 2x² - 4) - (3x³ - x² - 5)

2x³ + 3x² + 1

300

Simplify the expression by adding these polynomials:(5x⁴ - 6x³ + 8) + (4x³ - 8x + 12)

5x⁴ - 2x³ - 8x + 20

400

Simplify the expression by subtracting these polynomials:

(-3x³ - 2x² + 6x) - (4x³ - 7x + 8)

-7x³ - 2x² + 13x - 8

500

Simplify the expression by subtracting these polynomials:

(14x⁵ - 6x³ + 3x - 1) - (8x⁴ + 3x³ - 7x² + 9)

14x⁵ - 8x⁴ - 9x³ + 7x² + 3x - 10