Unit 4 Review

Adding Binomials

100

(2x² + 5x - 3) + (x² - 2x +1)

3x² +3x - 2

200

(5x² + 4x -7) + (-2x² +3x - 11)

3x² +7x - 18

300

(-8x² - 6x +1) + (-x² +9x -7)

-9x² +3x - 6

400

(4x² +3x +2) + (3x² +4x - 1)

7x² + 7x + 1

500

(10x² +9x -2) + (4x² - 5x +6)

14x² + 4x + 4

Subtracting Binomials

100

(3x² +9x - 1) - (-4x² +8x - 6)

7x² +x + 5

200

(2x - 3x² +12) - (9x² - 8x +4x)

-12x² -2x + 20

300

4x² + (5x - 3x²) - (8x +4)

x² - 3x - 4

400

(7x² -(-8x² - 7x +9)

15x² +7 - 9

500

12x² - 5x +1 -(8x² +2x - 4)

4x² - 7x +5

Distributing Binomials

100

6x(-3x - 4)

-18x² - 24x

200

-5x(15x - 9)

-75x² +45x

300

4(12x² +7x - 1) + 3x²

51x² +28x - 4

400

-13x + 2/5x(25x - 10)

10x² - 17x

500

Kiera plans to paint a canvas that has a total area of 3x(2x + 8) + 4x(5x - 12). Solve the equation given. 

26x² -24x

Factoring Polynomials

100

-7x - 42x - 49

-7(x² +6x +7)

200

-10x² +25x

-5(2x² - 5x)

300

-18x² - 27x

-9x(2x + 3)

400

6x² +144x - 12

6(x² +24x - 2)

500

A group of friends go skiing in the mountains. Their path was 4x + 1 + 5x + 4 + 6x + 5. Write an expression to represent the total distance they traveled and then factor the expression.

Distance: 15x + 10

Factor: 5(3x +2)

Difference of Squares

100

x² - 16

(x+4)(x+4)

200

x² - 81

(x+9) (x+9)

300

4x² - 25

(2b+5) (2b+5)

400

3c² - 12

3(c + 2) (c - 2)

500

8p³ - 50p

2p(2p + 5) (2p - 5)