Question

Match the examples with the properties of equalities:

Answer 1

I'm assuming you're matching the property you'd use to solve each given equation.

The thing to remember is that when you're solving equations like these, you're going to always do the opposite operations (formally the "inverse" operation) to get the variable by itself.

Equation a: x÷3 = 52

Since this has division connecting the 3 to the x, you'll cancel out the division with multiplication, using the Multiplication property of equality (Property 3).

Equation b: 6x = 36

Since this has multiplication connecting the 6 to the x, you'll cancel out the multiplication with division, using the Division property of equality (Property 4).

Equation c: x+70 = 245

Since this has addition connecting the 70 to the x, you'll cancel out the addition with subtraction, using the Subtraction property of equality (Property 2).

Equation c: x-35 = 450

Since this has subtraction connecting the 35 to the x, you'll cancel out the subtraction with addition, using the Addition property of equality (Property 1).