IXL | Identify equivalent equations

Select all of the equations below that are equivalent to:

q + r = 5

Use properties of equality.

ref_doc_title.

Learn with an example

question

Select all of the equations below that are equivalent to:

8 = y + z

Use properties of equality.

key idea

The Subtraction Property of Equality says that if you subtract the same number from both sides of an equation, then the two sides are still equal.

solution

Go through the answer choices one by one.

First, take

11 = y + z + 3

. Is it equivalent to

8 = y + z

y + z + 3

Subtract 3 from both sides

11 − 3

y + z + 3 − 3

Subtract 3 from both sides

Simplify

y + z

Simplify

Yes,

11 = y + z + 3

is equivalent to

8 = y + z

.

Second, take

13 = 3 + y + z

. Is it equivalent to

8 = y + z

3 + y + z

Subtract 3 from both sides

13 − 3

3 − 3 + y + z

Subtract 3 from both sides

Simplify

y + z

Simplify

No,

13 = 3 + y + z

is not equivalent to

8 = y + z

.

Third, take

20 = 12 + y + z

. Is it equivalent to

8 = y + z

12 + y + z

Subtract 12 from both sides

20 − 12

12 − 12 + y + z

Subtract 12 from both sides

Simplify

y + z

Simplify

Yes,

20 = 12 + y + z

is equivalent to

8 = y + z

.

Fourth, take

14 = 6 + y + z

. Is it equivalent to

8 = y + z

6 + y + z

Subtract 6 from both sides

14 − 6

6 − 6 + y + z

Subtract 6 from both sides

Simplify

y + z

Simplify

Yes,

14 = 6 + y + z

is equivalent to

8 = y + z

According to the Subtraction Property of Equality, these equations are equivalent to

8 = y + z

11 = y + z + 3

20 = 12 + y + z

14 = 6 + y + z

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

S.12Identify equivalent linear expressions I

T.6Solve one-step equations

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!