Algebra Using Properties of Equality

If 13 + 7 = 20, which property of equality is illustrated by the equation (13 + 7) + 2 = 20 + 2?

• addition property of equality
• division property of equality
• multiplication property of equality
• subtraction property of equality

Tell which property of equality is shown. 
4m = 60
4m ÷ 2 = 60 ÷ 2

• multiplication property of equality
• division property of equality
• addition property of equality
• subtraction property of equality

Tell which property of equality is shown. 
7b + 9 = 22
7b + 9 - 6 = 22 - 6

• multiplication property of equality
• division property of equality
• addition property of equality
• subtraction property of equality

Tell which property of equality is shown. 
9x - 4 = 33
(9x - 4) + 3 = 33 + 3

• multiplication property of equality
• division property of equality
• addition property of equality
• subtraction property of equality

Tell which property of equality is shown. 
y/3 = 21
(y/3) x 8 = 21 x 8

• multiplication property of equality
• division property of equality
• addition property of equality
• subtraction property of equality

Which equation is equivalent to x + 8 = 21?

• (x + 8) x 4 = 21
• (x + 8) x 4 = 21 ÷ 4
• (x + 8) x 4 = 21 x 2
• (x + 8) x 4 = 21 x 4

Select the equation that is equivalent to 8k = 20.

• 8k - 4 = 20 + 4
• 8k ÷ 4 = 20 ÷ 4
• 8k x 5 = 20 ÷ 5

Sven has $1 and a dime in his pile. Dayna has 11 dimes in her pile. If Sven gives Dayna $1 and Dayna gives Sven 10 dimes, will the two piles still be equal in value?

• yes
• no