The Basics
Powers
Equalities
Inequalities
Absolutely
Word Problems
100
State the most specific subset of the real numbers to which 1.142857142857142857... belongs
rational numbers
100
True or False:
When multiplying numbers of the same base, add the exponents.
True
100
Solve for x.
5x - 26 = 99
x = 25
100
Write an inequality to describe the graph.
-4 <= x < 3
100
Solve for x.
| x- 7| =2
x = 5, 9
100
Find two numbers whose sum is 16 and whose difference is 48.
32 and -16
200
State the polynomial's degree and classification:
x3y + y2 - 5
4, Trinomial
200
Simplify:
{((2xy^2)^4)((3xz^3)^2)}/{(x^-1)y^3z^2
144x^7y^5z^4
200
Solve for x.
3(5 -2x) = -10x +3
x =-3
200
Solve for x:
x<-2
x< -2
200
**Double Up**
|2x +4| +5 = 7
x = -1, -3
200
Find three consecutive even numbers whose sum is twice the third number plus 20.
22, 24, 26
300
What property does
8/3 xx 4/4 =32/12
illustrate?
Multiplicative Identity
300
Simplify
1/x^-n
x^n
300
Solve for x.
(2/3)x - 5 = 1/2(x-6)
x=12
300
Solve for x.
2(x+5) < 6 or 5(x+2) <-5
x<-2
300
Solve for x.
|x+5| <= 3
-8 <= x<= -2
300
A boat travels downstream in 2 hours and upstream in 3 hours while going 10 mi/h slower. How fast was it going in each direction?
30 mi/h downstream
20 mi/h upstream
400
State the order of operations.
PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)
400
Simplify:
|(-x)^5| xx (-y)^3
-x^5y^3
400
Solve for a.
(x-a)/c - (y+a)/c = d
a= (x-y-cd)/2
400
Solve for x.
0.2(x + 6.5) <= 4.6 and 1.4 (x -0.5) >= 2.1
2<=x<=16.5
400
Solve for x.
|0.2x + 5.4| - 6 =0
x = -57, 3
400
The 26-player soccer team has twice as many juniors as freshmen and three times as many juniors as either seniors or sophomores. How many players are from each class?
6 freshmen, 4 sophomores, 12 juniors, 4, seniors
500
This is the type of operation that "undoes" another.
Inverse operation
500
Simplify:
(5x^(2n)y^3)^3 (5x^2y^(-2m))^-3
x^(6n-6)y^(9+6m)
500
**Double - Up**
3(4x+4) - 6(3 +2x) = 0
O/
500
Solve for x.
x+3 <3x-9 < 2x+2
6 <x<11
500
Write an absolute value inequality describing the graph below.
|x-6| <= 3
500
40% of the 10-man basketball team are seniors. 32% of the 25-man soccer team are seniors. How many seniors are on both teams combined?
12 seniors