Linear Equations
Solve for x:
2x+5=11
x=3
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
Add the Polynomials:
(3x^2+2x-5)+(x^2-4x+2)
4x^2-2x-3
Simplify:
x^5*x^3
x^5*x^3=x^(5+3)=x^8
Find the vertex:
f(x)=x^2+4x+3
vertex=(-2,-1)
Solve for y:
-3y-7=5
y=-4
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
(5x^3-3x+7)-(2x^3+x^2-x)
3x^3-x^2-2x+7
Simplify:
(x^2)^3
(x^2)=x^(2*3)=x^6
f(x)=x^2-5x+6
Roots:x=2,x=3
Solve for B:
4b-9=3
b=3
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
Multiply the polynomials:
(x+3)(2x-1)
2x^2+5x-3
Simplify:
x^7/x^2
x^7/x^2=x^(7-2)=x^5
f(x)=2x^2-8x+1
x=2
5m+2=-13
m=-3
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
Divide the polynomials:
(x^2+5x+6)/(x+2)
x+3
(2x^3)^3
(2x^3)^3=2^3*(x^2)^3=8*x^(2*3)=8x^6
Find the y-intercept:
f(x)=-3x^2+6x-4
y-intercept=(0,-4)
Solve for Q:
-2q+8=20
Q=-6
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
Simplify:
(4x^3-6x^2+8x)/(2x)
2x^2-3x+4
Simplify:
x^-2
x^-2=1/x^2
Find the vertex:
f(x)=x^2+6x+5
Vertex=(-3,-4)