Beginning algebra

(-2)^3=

(-2)(-2)(-2) =+4(-2) =-8

(-3)^4+(-2)^4+(-1)^4=

(-3)(-3)(-3)(-3)+(-2)(-2)(-2)(-2)+(-1)(-1)(-1)(-1) =+81+16+1=98!!! (Remember, there are no variables here, only coefficients with like exponents - you cannot simply add the coefficients and keep the same exponent throughout).

(6-y)(3)=24

(6-y)(3)÷3=24÷3 (6-y)=8 How're we gonna isolate the y ??? Bam! (6-6-y)=8-6 -y=2 -y(-1)=2(-1) y=-2

(-8)+(-3)-(7)-(-11)=

-18+11 =-7

What must 2x^3 be multiplied by to equal -6x^7?

-3x^4 -- (2x^3)(?)=-6x^7 -- u divide the equals answer by the first part, if that makes any sense.

-y(3)+55=105

-y(3)+55-55=105-55 -y(3)÷3=50÷3 -y=16.7 To turn a negative variable into a positive one, multiply both sides by -1 -y(-1)=16.7(-1) y=-16.7

8a^4+12a^3-24a^2 all that divided by 4a^2=

2a^2+3a-6

Solve for x: 5x-12=2x

5x-2x-12=2x-2x 3x-12=0 3x-12+12=0+12 3x=+12 Divide both sides x=4

Solve for x: 3x-2=-17

Add 2 to both sides 3x=-15 x=-5

Solve for z: 3z-5+2z=25-5z

Add 5z to both sides 8z-5+2z=25 Combine like terms 10z-5=25 10z=30 Divide 10 on both sides z=3

Simplify: (a-5)(a+3)

Distribute; a^2+3a-5a-15 Combine like terms; a^2-2a-15

In the case of a fraction variable, can we divide the numerator by the denominator? (1 cannot divide by a higher number) 18/y=2

In this case, yes. So we are allowed to divide this variable fraction before simplifying everything else. 18/y=2 18y=2 18y/18=2/18 y=9

Solve for x: 5x-7=2x-34

Minus 2x from both sides 3x-7=-34 Add 7 to each side 3x=-27 Divide 3 x=-9

-32+6y/2=64

We absolutely can divide 6 by 2 easily, so we take care of the fraction first; -32+3y=64 3y=96 y=32

y/3+12-2=15(3)+4

We cannot divide 1 by 3, so we leave that fraction part for now and simplify the rest; y/3+10=49 y/3=39 Multiply both sides by 3; Y= 117

(y)/6+24-2=14

We cannot divide 1 by 6, so we leave that part & simplify everything else; y/6+22=14 y/6=-8 Now multiply both sides by 6; y=-48

Solve for y: y/3+4=-5

We cannot divide 1/3 easily, so we simplify everything else first. Minus 4 from both sides y/3=-9 Multiply 3 to both sides y=-27

In this case of a fraction variable, can u divide it before simplifying everything else? y/11=23

Yes because everything is already simplified, so its now the fraction's turn (normally u would have to wait before everything else because 1 cannot divide by 11 easily). y=253

(a-b)(a+b) a=20, b=-3

[20-(-3)][20+(-3)] Two negatives make a positive; (23)(17) =391