1st Grading Period Algebra

I Heart Math

100

Name 5 types of functions we have seen so far this year. 

Linear, Quadratic, Square root, Cube Root, Exponential, Inverse variation, Absolute value.  

200

Find the value of x that makes the equation true.  3x + 8 -2x = 5(x+1) 

x = 3/4

300

Solve for x:   2x + 13 - 2(x+3) = 5-4x + 4(x-1) 

No Solution

400

State the domain for the given function:  y = (x+5)/(2x-4)

2<x<2

500

Examine the following x,y coordinate pairs.  Provide one point that will make the relationship given not a function:  (2,3) , (5,7), (4, 11) , (11, 23) 

Teacher's discretion

Linear Functions

100

Find the slope for the follow points: (3,15) and (7, -5) 

20/-4 = -5

200

What output matches the input of -5 for the equation y = 3x+8 

y = -7

300

Find the equation for a line through the following points:  (8, 32) and (0,7) 

y = (25/8)x+7

400

Find the equation for the following two points:  

(3,11) and (10, 32) 

y = 3x+2

500

Are all lines functions? 

Nope- Vertical lines are not

Exponents

100

simplify: (2x³)(5x)

10x⁴

200

Simplify: (4x⁵)³

64x¹⁵

300

(3x⁵)/(9x²)

x³/3

400

Simplify and leave no negative exponents: (4^-2x³)^-2

256/x⁶

500

Simplify with no negative exponents:  (25x³y²z⁵)/(5xy⁵z²)

(5x²z³)/(y³)

The Distributive Property

100

Fully simplify the following product using the distributive property: 3x(-4x²+8) 

-12x²+24x

200

Fully simplify using the distributive property: (x+3)(2x-7) 

2x²-x-21

300

Solve the following equation: (3x+2)(x-4)=3x²-x+1

x=-1

400

Solve the following Equation: (-x+1)(x+4)=(x-3)(-x+2)

x = 1.25

500

Simplify the following: (2x+1)(x²+3x-11)

2x³+7x²-19x-11

Teacher Trivia

100

What grade did Mr. Somerville teach last year? 

8th

200

What type of pet does Mr. Somerville have? 

Cat 

300

Mr. Somerville has 3 kids.  You receive 300 points for each of their names that you know! 

Ruby, Arthur, Lucy 

400

What can't Mr. Somerville eat? 

Gluten 

500

What instrument does Mr. Somerville play? 

Guitar