Algebra Final Project

Expressions&Equations

100

3x+4x

7x

200

2(3x-4)+5

6x-3

300

Solve for x

5x-7=18

x=5

400

2(x-3)+4=3x+1

x=2

500

x²-7x+10

(x-2)(x-5)

Linear Functions

100

What is the slope of the line y=3x+1

3

200

Find the slope between (1,2) and (3,6)

2

300

Write the equation of a line through (0,5) with a slope of -2

y=x-2+5

400

-1/2x+4. What is the y-intercept?

4

500

A line passes through (2,5) and (6,-3). What is its equation?

y=-2x+9

Word problems & Applications

100

Sarah has 5 more apples than Tom. If Tom has x apples, how many does Sarah have?

x+5?

200

A movie ticket costs 12$. Write an expression for the cost of x tickets.

12x?

300

A rectangle's length is 3 times its width. If the width is x, write an expression for the perimeter. 

2x + 2(3x) = 8x?

400

A car rental company charges 50$ plus 0.20$ per mile Write a function to represent the total cost c(m)

c(m)=50+0.2m?

500

Jenny bought 3 notebooks and 2 pens for 8.50$. Notebooks cost 2$ each. Write and solve an equation to find the cost of one pen.

3(2)+2p=8.50->o=1.25?

Exponents & Polynomials

100

Simplify: x³*x²

x⁵

200

(2x²)³

8x⁶

300

(x+2)(x-5)

x²-3x-10

400

(4x³-8x+12)/4x

x²-2x+3

500

x³-27

(x-3)(x²+3x+9)

Quadratic Equations

100

x²=49

x=+/- 7

200

x²+5x+6

(x+2)(x+3)

300

x²+4x-5=0

x=1, x=-5

400

y=x²-6x+8

(3,-1)

500

2x²-3x-2=0

x=2,x=-1/2