Order of Operations
& Integer Exponents
& Integer Exponents
-2+3/5*(2/3 -2 -:4/5)
-31/10
Find the degree of
17x^3+10x^4+600x+5
Degree 4
Simplify: (x-1)/x - x/(x-1)
(-2x+1)/(x^2-x)
Bob earns x dollars per hour, Ann earns twice as much.
Compose an algebraic expression (in terms of x) showing how much Ann earns per hour.
2x
Solve for x:
2(x+pi)=x+3
x = 3-2pi
2^-3 * 2^-2
1/32
Simplify (Distribute and combine like terms): (x^2-3x+1)(x-2)
x^3-5x^2+7x-2
Simplify: x+1/(3x)
(3x^2+1)/(3x)
The length of one side of a rectangle is x cm. The other side is 5 cm shorter.
Compose and simplify an expression for the perimeter, P of the rectangle and find the value when x = 20cm
4x-10
and when x = 20cm the perimeter is
70cm
Solve the inequality:
-2x+2*(3-x) <= 9
Give your answer in interval notation
x>= -3/4
[-3/4, oo)
(3/2)^-1 - (1/4)^-2 + (1/2)^0
-43/3
Factor:
1/x^2 -9
(1/x +3)(1/x-3)
Find the value of (x^2-1)/(x+1)
when x=1/a
Simplify.
(1-a)/a
Bob earns x dollars per hour, Ann earns twice as much.
Compose an algebraic expression (in terms of x) showing how much more Ann will earn than Bob, if she will work 3 hours and he will work 2 hours.
3(2x)-2(x)
Solve for x: (6x+2)/3 -x = x+ 2/3
Any real number x is a solution.
Simplify: ((x^6*x^-2)/x^7)^3
x^-9 or 1/x^9
! DAILY DOUBLE !
Find the value of the expression -4x^2+x+3 when x=2a-1 , Simplify your answer.
-16a^2+18a-2
Simplify (x+2)/(4-x^2)
1/(2-x)
Two identical boxes together contain x chocolate bars. How many chocolate bars (in terms of x) will be in five such boxes?
2.5x bars of chocolate.
! DAILY DOUBLE !
Solve the inequality:
2x + 2*(3-x) > 9
No Solution.
Simplify: (-xy^4)^-1/(2xy^2)^3
1/(-8x^4y^10)
Let p(x) and q(x) be polynomials such that:
p(x)=x^2+4x-1 and q(x)=x^3+2x+1
Find:
((p(x+1))/(2q(0)))
(x^2+6x+4)/2
Simplify:
(x^2-3x)/(x^2-6x+9)
x/(x-3)
In a triangle ABC, the side BC is 3 cm shorter than the side AB, and the side AC is twice as long as BC.
Compose an expression for the perimeter of triangle ABC when AB has a side length of x.
Do not simplify your answer.
x+(x-3)+(2*(x-3))
The area, A of a Trapezoid with bases a and b and height h is
A = (a+b)/2 h
Find a formula for h in terms of a, b, and A.
h = (2A)/(a+b)