Question

Q1: This equation is solved correctly: 4x - 3 = 2x + 7 ...+ 3.......+ 3 ----------------- 4x + 0 = 2x + 10 -2x.....-2x ------------------ 2x + 0 = 0 + 10 Or 2x = 10 /2..../2 ----------- x = 5

True
False

Q2: Solve for x. Show ALL work: -2x + 5 = 4x - 7

Q3: Solve for y. Show ALL work: 12y + 4 = 8y - 12

Q4: Solve for z. Show ALL work: 7z - 18 = -2z + 18

Q5: Solve for x. Show ALL work: 10x + 15 = 5x - 10

Answer 1

The first question's equation is solved correctly, so true.

Q2: -2x+5=4x-7 ...subtract 5 from both sides
-2x=4x-12 ...subtract 4x from both sides
-6x=-12 ...divide both sides by -6
x=2

Q3: 12y+4=8y-12 ...subtract 4 from both sides
12y=8y-16 ...subtract 8y from both sides
4y=-16 ... divide both sides by 4
y=-4

Q4: 7z-18=-2z+18 ...add 18 to both sides
7z=-2z+36 ...add 2z to both sides
9z=36 ...divide both sides by 9
z=4

Q5: 10x+15=5x-10 ...subtract 15 from both sides
10x=5x-25 ...subtract 5x from both sides
5x=-25 ...divide both sides by 5x
x=-5

Hope this helps :-)