Question

Match the description of the one variable equation with the number of solutions it will have.

ax+c1=bx+c2
(3 points)

The number of x's on both sides of the equation is different a≠b

The number of x's is the same on both sides of the equation, and the constant is different a=b, c/1≠c/2

The number of x's is the same on both sides of the equation and the constant is also the same a=b, c/1=c/2

Answer 1

Order the steps for solving the equation: 2x−5=3(4x+5)


(8 points)
2x−5=3(4x+5)
Step 1:
Distributive
Property to get


Step 2:
Property to get

Step 3:
Property to get

Step 4:
Property to get

Answer 2

- The number of x's on both sides of the equation is different: 1 solution
- The number of x's is the same on both sides of the equation, and the constant is different: no solution
- The number of x's is the same on both sides of the equation and the constant is also the same: infinite solutions

Answer 3

Step 1: Distributive Property to get 2x-5=12x+15

Step 2: Combine like terms to get 2x-5=12x+15

Step 3: Subtraction Property to get 2x-12x=15+5

Step 4: Combine like terms to get -10x=20