Question

1.Which is an equivalent form of the equation 3x-3y=15?

a) y= x-5
b) y= x+5
c) y= 5-x <---
d) y= -6 - x
2. Solve the absolute value equation.
|2x-1|=3
a)x=2 or x=-1
b)x=1 or x=2 <---
c)x=1 or x=-1
d)x=1 or x=4
3. what is the solution to the compound inequality?
2< 3x-1 less than or equal to 5
a) 1 b)3< x less than or equal to 6
c)1< x less than or equal to 3 <--
d)1/3

Answer 1

1.Which is an equivalent form of the equation 3x-3y=15?
3Y = 3x - 15
Y = x - 5

2. Solve the absolute value equation.
|2x-1|=3
2x-1 = 3 : 2x - 1 = -3
2x = 4 : 2x = -2
x = 2 : x = -1

Answer 2

1) The given equation is 3x-3y=15

To solve for y we subtract 3x both sides:

3x-3x-3y=-3x+15

-3y=-3x+15

With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:

y=x-5

Option A :y=x-5 is the right answer.

2) |2x-1|=3

We can remove the absolute sign by forming equations taking both the positive and negative signs:

2x-1=3 or 2x-1=-3

Solving the two equations for x:

2x=3+1 or 2x=-3+1

2x=4 ,x=2. 2x=-2 , x=-1 .

Option a)x=2 or x=-1 is the right answer.

3) 2< 3x-1 ≤ 5

Adding 1 to all the sides we have:

3<3x≤ 6

Dividing by 3 :

1<x≤ 2.