Question

8th Grade Math Homework Thursday, January 28th

Simplify. Combine like terms.
1. 12y - 18y
2. 4(y + 5)
3. 3x + 6y - 9x + 4
4. 6(x - 9) + 10 - 3x
5. Is 4 a solution of 5(2 - x) = -10? Show work to justify your answer.
Solve and check the following equations. Show all steps.
6. 4x + 20 = 0
7. 5x - 3 = 2x - 27
8. 6x - 8 = 2x + 16
9. 12 - 3x = 22 + 2x
10. x + 7x - 12 = -20
11. 7x+4 - 13x = -1 + 23

Answer 1

1. -6y
2. 4y+20
3. -6x+6y+4
4. 3x-44
5. •work:
•plug in 4 to the equation
5(2-4)=-10
10-20=-10
-10=-10
•so, yes it is a solution to 5(2-x)
6. •work:
4x+20=0
-20 -20
4x=-20
4x/4=-20/4
x=-5
7. •work:
5x-3=2x-27
-2x -2x
3x-3=-27
+3 +3
3x=-24
3x/3=-24/3
x=-8
8. •work:
6x-8=2x+16
-2x -2x
4x-8=16
+8 +8
4x=24
4x/4=24/4
x=6
9. •work:
12-3x=22+2x
-2x -2x
12-5x=22
-12 -12
-5x=10
-5x/-5=10/-5
x=-2
10. •work:
x+7x-12=-20
8x-12=-20
+12 +12
8x=-8
8x/8=-8/8
x=-1
11.•work:
7x+4-13x=-1+23
-6x+4=-1+23
-6x+4=22
-4 -4
-6x=18
-6x/-6=18/-6
x=3
here you go! hope this helped!! :)