Aleks Math placement
-0--16=
16
diameter of a circle
2r
Solving a word problem
2x(hamburgers)+x(cheeseburgers)=750(total) then solve for x
Circumference of a circle
2πr or πd=ft
3 4/7− 2 3/4=
3 4/7=(3×7+4)/7=25/7 and 2 3/4=(2×4+3)/4=11/4 Then: 25/7-11/4=(25)(4)−(11)(7)/7 × 4=23/28
3-(-2)=
3+2 =5
The sum of two numbers is 48. One number is 3 times as large as the other. What are the numbers?
3Y+Y=48 OR 4Y=48 OR 12
4 + (5 − 10) =
4 + (−5) =-1
Intergers
Integers include zero, counting numbers, and the negative of the counting numbers. {... ,- 3, - 2, - 1, 0, 1, 2, 3, ...}
Dividing factions
Keep the first the same, Change to multiplication, flip the second
Vertical line for slope
Undefined
(-5)^-1 write w/o exponent
a^-n=1/a^n or 1/-5
a/b-c/d=
ad-bc/bd
x/y-(-z/y)=
add x+z/y and it becomes a positive number
To find percentage
divide 100 by the number done 65/39
Fractions always move the negative
to the top
(v-3)(v+1)=
FOIL or V^2-2V-2
Adding mixed numbers
Find the LCD and add the whole numbers to get your final answer. Example: 2 1/2 + 3 1/4 = ? 2 1/2 + 3 1/4 = (2+3) then 2/4 + 1/4 = 5 3/4
Properties of Addition-Associative
(x+y)+z=a is the same as (z+y)+x=a
(−2)— (−8) =
(−2) + 8 = 6
-3+-2=
-5
Horizontal line for slope
0
-1/-1=
1
3+-2=
1
0.65 × 0.24 =
1,560 then 0.1560
Simplify x/x^6
1/x^5
Area of Parallelogram
A=bh
Area of a circle
A=πr² = ft^2
Interger
Positive or negative number. (NOT FRACTION/DECIMAL)
slope of (-2,-1)(2,-4)=
work left to right (-4--1)=-3 then (2--2)=4 or -3/4
Properties of Addition- Inverse
x+(-x)=0;-x+x=0
Properties of Addition- Identity
x+0=x;0+x=x
Properties of Addition-Commutative
x+y=y+x
Percent problems
❖ Base = Part ÷ Percent ❖ Part or "of"= Percent × Base ❖ Percent = Part ÷ Base
𝑎/𝑏+𝑐/𝑑=
𝑎𝑑 + 𝑏𝑐/𝑏𝑑