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