10th/11th Grade Math Monday

Two Step Equations

100

2x + 5 = 17

x = 6

200

20 = 8 + 4x

x = 3

300

2(x + 9) = 24

x = 3

400

5 = 9 − 2x

x = 2

500

(x/3) - 6 = 4

x = 30

Polynomials

100

Simplify 4x² + 7 + 2x² + 3

6x2 + 10

200

Simplify 12x² − 7 − 10x² + 4 

2x² - 3

300

Simplify −3x² + 4x² − 3x + 4x 

x² + x

400

Simplify −x⁴ − x⁴ + 7x + 5x − x + 3 

-2x⁴ + 11x + 3

500

Simplify 2x³ + 5x² + 10x² + 20 + x³ 

3x³ + 15x² + 20

Distributive Property

100

Apply the Distributive Property:  5(x + 3) 

5x + 15

200

Apply the Distributive Property: -8(a + b − c)

-8a + -8b + 8c OR -8a - 8b + 8c

300

Apply the Distributive Property:  4(3x² + 2x − 5)

12x² + 8x - 20 OR 12x² + 8x + (-20)

400

Apply the Distributive Property: 2x(3x − 5y) 

6x² - 10xy  OR  6x² + (-10xy)

500

Factor (apply the Distributive Property in reverse):

6x² + 9x

3x(2x + 3)

Linear Functions

100

In the equation y = mx + b, m is the _____ and b is the _____.

m = slope;  b = y-intercept

200

What is the slope of this linear function?  y = 5 + 4x

4

300

What is the y-intercept of this linear function?  

y = 3x - 6

-6

400

When graphed, will this line be increasing or decreasing on the coordinate grid?

y = -5x + 7

Decreasing

500

What is the slope of a horizontal line?

Zero