Question

Match each pair of equations with the property that justifies why they are equivalent.

Not all properties will be used.

Answer 1

9514 1404 393

Answer:

• subtraction
• multiplication
• combine like terms

Explanation:

The properties of equality say the value of the variable does not change if the same function is performed on both sides of the equal sign.

a) 4x +7 = 19 ⇒ 4x = 12

The value -7 was added to both sides. Equivalently, 7 was subtracted from both sides. The Subtraction Property of Equality was used.

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b) 2x/3 = 8 ⇒ 2x = 24

Both sides were multiplied by 3. The Multiplication Property of Equality was used.

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c) 5x -6 +2x = 22 ⇒ 7x -6 = 22

Terms 5x and 2x were combined and written as 7x. We call this Combine Like Terms.