Aleks Math placement

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-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


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