Justifying Equalities and Equations Using Properties of Operations

Solve the equation.
19 = p + 5

• 14

• p = 24

• p = 14

• p = -14

Summarize how you solve the equation below.

• Subtract 12 from both sides of the equation. (take 12 from the 12 +x side and take 12 away from 50)

• Subtract 12 from the right side of the equation. (just take 12 away from the 12 + x side)

• Subtract 50 from both sides of the equation. (take 50 away from the 12 +x side and 50 away from 50)

• Combine 50 and 12

Solve the equation
c - 21 = 45

• 66

• 62

• 24

• none of the above

Solve the equation

y + 8.3= 12.7

• 28

• 21

• 4.2

• 4.4

What is the reason for step 2

What is the reason for step 3

Answer explanation

you're just combining like terms; that's NOT addition property.

It's simplifying the problem, or, more technically, substitution.

Match the expression to the property listed that is being shown.  You may use them more than once.(Type your 5 letters lower case and with no spaces in between like: abcab)

Match the expression to the property listed that is being shown.  You may use them more than once. (Type your 5 letters lower case and with no spaces in between like: abcab)

Match the following properties.

• Division property

• An equation is still true when both sides are multiplied by the same number.

• Addition property

• An equation is still true when both sides are divided by the same number.

• Multiplication property

• An equation is still true when the same number is added from both sides.

• Subtraction property

• 
• Distributive property

• An equation is still true when the same number is subtracted from both sides.

Match the statement to the property it illustrates.

• Multiplication Property of Zero

• Addition Property of Zero

• Multiplication Property of One

• Distributive Property