Intro to Algebra

Expressions

100

z(x+z)/6    x=3 and z=2

5/3

200

(y-x)^3-y      x=2 and y=6

58

300

The quotient of 14 and y

14/y

400

Jen is 5 years older than half Bob's age

J=5+1/2B

500

three consecutive numbers add to 40

(x)+(x+1)+(x+2)=40

Solving Equations

100

-8+7x=-99

-13

200

5(x-2)=30

x=8

300

7/6=-8/3r+3/2r

r=-1

400

We have a bake sale selling cookies. We pay $5 for a booth and sells the cookies for $1 each. Each cookie costs $0.10 each. How many do we need to sell to make a $72 profit?

13.67 cookies

500

The length of a rectangle is 3 feet less than twice the width of the room. The room's perimeter is 30 feet. What are the dimensions?

6 feet by 9 feet

Linear Equations

100

evaluate f(2)

x+2

4

200

domain vs. range

Domain is all x values

Range is all y values

300

What is the equation of a line between points (in slope-intercept form) 

(2,4) and (-3,-1)

y=x+2

400

A school play charges $5 for adult tickets and $3 for student tickets. If 100 people attended a movie and the stadium made $350 how many of each type of ticket did they sell?

adults=25 and students=75

500

solve the system of equation 

-x+8y=-14

3x+y=17

x=6 y=-1

Exponents/Polynomials

100

3zx^-2y * x^0z^2

3z^1y/x^2

200

2qr^5/3pq^4r^4

2r/3pq^3

300

(x^2-6x^4+4)-(7x-1-5x^4)

-x^4+x^2-7x+5

400

(5n-2)(8n+1)

40n^2-11n-2

500

6a^3+3a^2+24a/6a^2

a+1/2+4a

Factoring

100

factor out the GCF

20x^2+8x^3+16x^5

4x^2(5+2x+4x^3)

200

factor by grouping

16x^3+20x^2+20x+25

(4x^2+5)(4x+5)

300

factor the trinomial 

m^2+13m+36

(m+9)(m+4)

400

Factor the trinomial 

9n^2-24n+12

3(3x−2)(x−2)

500

Factor the trinomial

3v^2-22v+24

(3v−4)(v−6)