Algebra 1 Unit 7 Review - Polynomial Operations

Evaluating

100

Evaluate the expression 3x + 10 when x = 12.

46

200

Evaluate the expression 2x⁴ - 3x²+2 when x = 5

1177

300

If f(x) = 2x - 6 find the value of f(4).

2

400

If f(x) = 15 + 5x - 10x²+x³, find the value of f(0). 

15

500

The height of a ball in feet can be modeled by the equation h(t) = -4.3t²+ 25t + 10. Find the height of the ball after 5 seconds.

27.5 feet

Adding and Subtracting

100

Simplify:

(2x⁴ + 3x²) + (5x⁴+ 2x²)

7x⁴ + 5x²

200

(6a² + 4) - (2a² + 3)

4a² + 1

300

Simplify:

(5x³ + 3x² - 1) - (2x³ +3x² +5)

3x³ - 6

400

(2x² + 3x - 1) + (5x - 6) - (4x² - 6x + 2)

-2x² + 14x - 9

500

If f(x) = 3x⁴ + 5x² - 3 and g(x) = 2x + 10 find f(x) + g(x). 

3x⁴ + 5x²+2x+7

Multiplying

100

Simplify:

2m(3m³- 5m + 6)

6m⁴ - 10m²+12m

200

Simplify:

(x + 4)(x + 5)

x² + 9x + 20

300

Simplify:

(2x - 3)(5x + 6)

10x² -3x - 18

400

Simplify:

(2x + 3)(x² + 3x + 4)

2x³ + 9x² + 17x + 12

500

Simplify:

(3x + 5)²

9x² + 30x + 25

GCF

100

Identify the GCF of the expression.

3m³ + 9m² - 6m

3m

200

Identify the GCF of the expression.

-12w⁶ + 4w⁴ - 8w

-4w

300

Write the expression in factored form by using the GCF.

4x⁵ - 8x² + 6x

2x(2x⁴ - 4x + 3)

400

Write the expression in factored form by using the GCF.

-5x³ + 10x² + 15x - 20

-5(x³ - 2x² - 3x + 4)

500

Write the expression in factored form by using the GCF.

4m²n + 8mn² + mn

mn(4m + 8n + 1)

Factoring

100

Factor:

x² + 5x + 6

(x +2)(x + 3)

200

Factor:

x² + 4x -32

(x + 8)(x - 4)

300

Factor

10x² + 13x + 4

(2x + 1)(5x + 4)

400

Factor:

12x² + x - 6

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

500

Factor:

4x² - 9

(2x + 3)(2x - 3)