Math Extensions Review

Adding and Subtracting

100

24 + 38

62

200

47 - 18

29

300

21 - 38

-17

400

-12 + 27

15

500

-40 - -14

-26

Multiplying, Dividing, and Exponents

100

x³⁹x¹⁶

x⁵⁵

200

x⁷⁶/x³³

x⁴³

300

x²⁰/x⁵¹

x^-31 or 1/x³¹

400

5 * 9

45

500

63/7

9

Combining Like Terms and Solving

100

18x + 21 - 12x + 17

6x + 38

200

4x + 48 = 64

x = 4

300

12x - 16 = 4x + 32 

x = 6

400

-10 + 2(7x - 4) + 6(-3x + 5) + 12x 

12 + 8x

500

2x - 3(2x - 3) + 4 = 33

x = -5

Factoring and Multiplying Polynomials

100

(3x + 8)(2x - 4)

6x² + 4x - 32

200

(2x² + 6x - 5)(4x + 3)

8x³ + 30x² - 2x -15

300

Factor x² + 15x + 56

(x + 7)(x + 8)

400

Factor 3x² + 11x + 6

(3x + 2)(x + 3)

500

Factor 6x² + 7x - 5

(3x + 5)(2x - 1)

Linear Systems

100

Graph y= -3/4x + 5

Starting point at y=5, slope of -3/4

200

Graph y= -2x+6 and y=5x-1 to find the solution

(1,4)

300

Solve the systems of equations y=6x+11 and y=4x+25

(7,53)

400

Solve the systems of equations x= -4y+10 and x=2y-14

(-6,4)

500

Solve the systems of equations x+2y= -1 and y= -3x-8

(-3,1)