Algebra 1

Linear Equations

100

Solve for x:

2x+5=11

x=3

200

Solve for y:

-3y-7=5

y=-4

300

Solve for B:

4b-9=3

b=3

400

Solve for m:

5m+2=-13

m=-3

500

Solve for Q:

-2q+8=20

Q=-6

Writing Equations

100

Martin has $50. He buys a shirt for $22 and wants to buy as many pens as he can with the remaining money. If each pen costs $2, how many pens can he buy?

14 pens

200

A taxi charges a flat fee of $3 plus $0.50 per mile. If a ride cost $8, how many miles was the ride?

10 miles

300

Briza is saving money to buy a bicyle that cost $150. She has $30 saved already and plan to save $10 each week. How many weeks will it take her to save enough money.

12 weeks

400

A rectangle has a length that is 3 inches longer than the width. If the perimeter of the rectangle is 26 inches, what is the width of the rectangle?

5 inches

500

Tom sells lemonade for $1.50 per cup. It cost him $0.30 to make each cup. How many cups of lemonade does he need to sell to make a profit of $60?

50 cups

Polynomial Operations

100

Add the Polynomials:

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

4x^2-2x-3

200

Subtract the polynomials:

(5x^3-3x+7)-(2x^3+x^2-x)

3x^3-x^2-2x+7

300

Multiply the polynomials:

(x+3)(2x-1)

2x^2+5x-3

400

Divide the polynomials:

(x^2+5x+6)/(x+2)

x+3

500

Simplify:
(4x^3-6x^2+8x)/(2x)

2x^2-3x+4

Exponents

100

Simplify:

x^5*x^3

x^5*x^3=x^(5+3)=x^8

200

Simplify:

(x^2)^3

(x^2)=x^(2*3)=x^6

300

Simplify:

x^7/x^2

x^7/x^2=x^(7-2)=x^5

400

Simplify:

(2x^3)^3

(2x^3)^3=2^3*(x^2)^3=8*x^(2*3)=8x^6

500

Simplify:

x^-2

x^-2=1/x^2

Quadratic Functions

100

Find the vertex:

f(x)=x^2+4x+3

vertex=(-2,-1)

200

Find the roots:

f(x)=x^2-5x+6

Roots:x=2,x=3

300

Find the axis of symmetry:

f(x)=2x^2-8x+1

x=2

400

Find the y-intercept:
f(x)=-3x^2+6x-4

y-intercept=(0,-4)

500

Find the vertex:

f(x)=x^2+6x+5

Vertex=(-3,-4)