1. 3/2x+4=-9
3/2x=-13 (Combine like terms)
(divide both sides by 3/2)
x=-26/3 or -8 2/3
2. 2(3x-7)+4x=26
6x-14+4x=26 (distribute the 2)
10x-14=26 (combine like terms)
10x=40 (add 14 to both sides)
(Divide both sides by 10)
x=4
3. 4-3x=5-6x-7
4-3x=-2-6x (combine like terms)
4=-2-3x (add 3x to both sides)
6=-3x (add 2 to both sides)
(divide both sides by -3)
x=-2
4. 11y-3=5
11y=8 (combine like terms)
(divide both sides by 11)
y=8/11
5. 5-3x<14
-3x<9 (combine like terms)
(divide both sides by -3) (flip the < to > because youre dividing by a negative)
x >-3 The graph is a vertical (up and down) line at -3... it is a dashed line and shade towards the postitive numbers
6. x/x+2=3/7
7x=3(x+2) (cross multiply)
7x=3x+6 (distribute the 3)
4x=6 (combine like terms)
(divide both sides by 4)
x=6/4 or 1 2/4 or 1 1/2
7. 1.5/36=x/24 (instead of using 1 1/2, I used 1.5 since it is easier to work with)
36x=36 (cross multiply)
(divide both sides by 36)
X=1
8. y=2x+5 3x-2y=10 (this is a substitution problem)
3x-2(2x+5)=10 (plug in y=2x+5 in the second equation)
3x-4x-10=10 (distribute the -2)
-1x=20 (combine like terms and add 10 to both sides)
(divide each side by -1)
x=-20
(plug in -20 for either equation... I used y=2x+5)
y=2(-20)+5
y=-40+5 (distribute the 2)
y=-35
10. 6x-3y=11 6x+3y=17 (this is an elmination problem) (-3y & +3y cancle each other out so they will not be in the following steps until the end)
6x=11 +6x=17
12x=28 (combine the X's and 11+17)
(divide both sides by 12)
X= 7/3
(plug in 7/3 in either equation... i used 6x+3y=17)
6(7/3)+3y=17 (plug in 7/3 for x)
14+3y=17 (distribute)
3y=3 (combine like terms)
(divide both sides by 3)
y=1
10. 3x+5y=22 4x+3y=11 (since you can't eliminate here, you have to multiply both equations by a number to be able to... I multiplied the first equation by -3 and the second by 5. I'll be starting at the point after the multiplication)
-9x-15y=-66 20x+15y=55 (-15y & +15y cancle out)
-9x=-66 20x=55
11x=-11 (combine like terms)
(divide both sides by 11)
x=-1
(to find the value of y, plug in -1 into either equation and solve... i used 3x+5y=22)
3(-1)+5y=22 (plug in)
-3+5y=22 (distribute)
5y=25 (combine like terms)
(divide both sides)
y=5
11. n^2+3n-12=6
n^2+3n-18=0 (subtract 6 from both sides)
(n+3)(n-6) (to solve these, set them equal to 0 and get n alone)
n= -3, n=6
12. 2n^2+5n+2
(2n^2+n)+(4n+2)
n(2n+1)+2(2n+1)
(2n+1)(n+2)
MORE ANSWERS TO COME... STILL NEED TO SOLVE THEM
