Question 1

Write an equivalent expression. Use a commutative law.
-y + 2

Accepted Answer

The answer of Write an equivalent expression. Use a commutative...

Question 2

Write an equivalent expression. Use a commutative law.
-3 + xy

Accepted Answer

The commutative law of addition allows for the rearrangement of terms, so "3 + xy" can be written as "xy + 3" or "3 + yx" since the order of addition does not change the sum.

Question 3

Simplify.
-

Accepted Answer

The answer of Simplify.
-
...

Question 4

Write an equivalent expression. Use an associative law.
-2 + (s + t)

Accepted Answer

The answer of Write an equivalent expression. Use an associative...

Question 5

(6x)y

Accepted Answer

The expression (6x)y can be rewritten as 6(xy) by associating the multiplication differently, which is a property of multiplication (associative property).

Question 6

(5s)t

Accepted Answer

The expression (5s)t correctly simplifies to 5(st), indicating multiplication between 5, s, and t.

Question 7

Write an equivalent expression. Use an associative law.
-(x + 8) + y

Accepted Answer

The associative law of addition allows us to change the grouping of the terms. So, (x + 8) + y is equivalent to x + (8 + y).

Question 8

7(ab)

Accepted Answer

The answer of 7(ab)
...

Question 9

Write an equivalent expression. Use an associative law.
-(5 + u) + v

Accepted Answer

The associative law states that the way in which numbers are grouped in addition does not change their sum. Therefore, (5 + u) + v is equivalent to 5 + (u + v).

Question 10

Write the word or phrase that best completes each statement or answers the question.
Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-s(t9) as 9(ts)

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Write the word or phrase that best completes each statement or answers the question.
Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-x(y9) as 9(xy)

Accepted Answer

The answer of Write the word or phrase that best...

Question 12

a + (b + 5)

Accepted Answer

The answer of a + (b + 5)
...

Question 13

r + (3 + s)

Accepted Answer

The answer of r + (3 + s)
...

Question 14

8(np)

Accepted Answer

The answer of 8(np)
...

Question 15

Write an equivalent expression. Use a commutative law.
-wx

Accepted Answer

The answer of Write an equivalent expression. Use a commutative...

Question 16

Write the word or phrase that best completes each statement or answers the question.
Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-2 + (a +b)  as b + (2 +a)

Accepted Answer

The answer of Write the word or phrase that best...

Question 17

Write an equivalent expression. Use a commutative law.
-5 + b

Accepted Answer

The commutative law of addition states that changing the order of the addends does not change the sum. Therefore, 5 + b is equivalent to b + 5.

Question 18

Write the word or phrase that best completes each statement or answers the question.
Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-

Accepted Answer

The answer of Write the word or phrase that best...

Question 19

Write an equivalent expression. Use a commutative law.
-pq + z

Accepted Answer

The commutative law of addition allows for the rearrangement of terms, so "qp + z" and "z + pq" are equivalent to "pq + z" because the order of addition does not change the sum.

Question 20

Write the word or phrase that best completes each statement or answers the question.
Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-(x + 7) + y as 7 + (x + y)

Accepted Answer

The answer of Write the word or phrase that best...

Quiz 2: Introduction to Real Numbers and Algebraic Expressions

Write an equivalent expression. Use a commutative law. -y + 2

Write an equivalent expression. Use a commutative law. -3 + xy

Simplify. -

Write an equivalent expression. Use an associative law. -2 + (s + t)

(6x) y

(5s) t

Write an equivalent expression. Use an associative law. -(x + 8) + y

7(ab)

Write an equivalent expression. Use an associative law. -(5 + u) + v

Write the word or phrase that best completes each statement or answers the question. Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -s(t9) as 9(ts)

Write the word or phrase that best completes each statement or answers the question. Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -x(y9) as 9(xy)

a + (b + 5)

r + (3 + s)

8(np)

Write an equivalent expression. Use a commutative law. -wx

Write the word or phrase that best completes each statement or answers the question. Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -2 + (a +b) as b + (2 +a)

Write an equivalent expression. Use a commutative law. -5 + b

Write the word or phrase that best completes each statement or answers the question. Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -

Write an equivalent expression. Use a commutative law. -pq + z

Write the word or phrase that best completes each statement or answers the question. Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -(x + 7) + y as 7 + (x + y)