Algebraic Expressions
Exponents
Factoring and Rational Expressions
Solving Equations
Linear and Absolute Value Inequalities
100
Find the intersection:
{2, 4, 6, 8}nn{1, 3, 5, 7, 9}
emptyset
100
Simplify the following:
(3x^6)(2x^5)
6x^11
100
Multiply using the rule for finding the product of the sum and difference:
(2-9t)(2+9t)
4-81t^2
100
Solve the following equation for s:
C=1/3f(s+k)
s=(3C)/f-k
100
Solve the following and write your answer in interval notation:
absx<12
(-12,12)
200
Simplify the following:
8(4y-6)-(4y+4)
28y-52
200
((8x^6)/y)^-3
y^3/(8^3x^18)=y^3/(512x^18
200
Multiply:
(x-2)/(5x+35)*(6x+42)/(6x-12
1/5
200
Solve the equation using the square root property:
2(x+9)^2=24
-9+2sqrt3, -9-2sqrt3
200
Solve the following:
1<x+1<5
(0,4)
300
Simplify:
5sqrt(13x)-7sqrt(13x
-2sqrt(13x
300
Evaluate the expression using a radical. DO NOT EVALUATE!
243^(4/5)
root(5)(243^4)=(root(5)(243))^4
300
Factor the following or state that it is prime.
3x^2-32x-11
(3x+1)(x-11)
300
Solve the following:
sqrt(x+7)=x-5
{9}
300
abs(3x-3)<12
[-3,5]
400
Simplify:
(root(3)(81x^4))/(root(3)(3x)
3x
400
Simplify the following:
(8x^(1/2))(7x^(1/3))
56x^(5/6)
400
Simplify the following (AND state the exclusions if there are any).
(x/9-1)/(x-9
1/9, x!=9
400
abs(x+8)+8=5
The Empty Set.
WHY?
400
Solve, then show answer in interval notation and a number line:
3-(x+6)>=7-3x
[5,oo)
500
Find the set:
(-3,6)nn[-1,7]
[-1,6)
500
Perform the following computation and write your answer in scientific notation:
(6.3xx10^-6)(4xx10^-8)
2.52xx10^-13
500
Divide and state the exclusions:
(z^2-1)/z-:(z+1)/(z-1)
(z-1)^2/z, z!=0, 1, -1
500
Solve the equation:
5x^2-11x=12
3,-4/5
500
sqrt(2x+15)<=x+6
(-oo,5]