CCAL - End of the Year Review!

Polynomial Operations(Add and Subtract)

100

Add the following polynomials:

4x² - 18x + 3 and 7x² + 12x - 4

11x² - 6x - 1

200

Subtract the following polynomials:

(9x² + 3x – 1) - (4x² – 6x + 7)

5x² + 9x - 8

300

When  6x² + 2x – 3 is added to 4x² – 8x + 7, the sum is?

10x² - 6x + 4

400

When  9x² + 3x – 1 is added to 4x² – 6x + 7, the sum is?

13x² - 3x + 6

500

When  2x² + 3x – 1 is subtracted from x² – 6x - 3, the difference is?

-x² - 9x - 2

Solving Equations

100

Solve for x: 15x = 45

x = 3

200

Solve for x: x - 10 = 15

x = 25

300

Solve for x:  14x – 3 = 8x + 33

x = 6

400

Solve for x:  7x – 9 = 5x + 3

x = 6

500

Solve for x:  7x – 3 = 5x + 31

x = 17

Factoring

100

Factor!

x² + 3x - 10

(x + 5) (x - 2)

200

Factor!

5x² – 15x

5x(x - 3)

300

Factor!

x⁴ - 100

(x² + 10) (x² - 10)

400

Factor COMPLETELY!

2x² - 18

2 (x² - 9)

2 (x + 3) (x - 3)

500

Factor COMPLETELY!

x³ - x² - 6x

x (x² - x - 6)

x (x - 3) (x + 2)

Arithmetic OR Geometric?(Find r or d)

100

4,9,14,19, …

Arithmetic

d = 5

200

3,9,27,81, …

Geometric

r = 3

300

44, 38, 32, 26, …

Arithmetic

d = -6

400

15, 12, 9, 6,

Arithmetic

d = -3

500

3,-6,12,-24, …

Geometric

r = -2

Functions

100

Is it a function?

{(4, 4), (5, 5), (6, 6), (7, 7)}

Yes

200

Is it a function?

{1, 2), (1, 3), (1, 4), (1, 5)}

No

300

If f(x) = x³ - 3x, find f(2).

2

400

If g(x) = x² + 2x, find g(-5).

15

500

How can you tell if a graph is a function?

It passes the vertical line test (VLT)