Question 1

List the terms of the expression.
-11x + 7y

Accepted Answer

The terms of the expression are the individual elements separated by addition or subtraction. In this case, the terms are 11x and 7y.

Question 2

Multiply.
-7(3r + 5 + 9s)

Accepted Answer

When multiplying a polynomial by a constant, distribute the constant to each term inside the parentheses. Here, 7 is multiplied by each term inside the parentheses: 7 * 3r = 21r, 7 * 5 = 35, and 7 * 9s = 63s, resulting in 21r + 35 + 63s.

Question 3

Multiply.
-3(7 + m)

Accepted Answer

The distributive property states that a(b + c) = ab + ac. Applying this, 3(7 + m) = 3*7 + 3*m = 21 + 3m.

Question 4

Multiply.
-2(2x + 3)

Accepted Answer

When you distribute the 2 across the terms inside the parentheses, you multiply 2 by each term: 2 * 2x = 4x and 2 * 3 = 6, resulting in 4x + 6.

Question 5

List the terms of the expression.
-6 - 6a + 5b

Accepted Answer

The terms of the expression are the individual elements separated by plus or minus signs, so the terms are 6, -6a, and 5b.

Question 6

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.
-(6 + y) + 4 as y + 10

Accepted Answer

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

Question 7

List the terms of the expression.
--4 + 6a - 9b

Accepted Answer

The terms of the expression are each distinct part separated by a plus or minus sign, which are -4, 6a, and -9b.

Question 8

Multiply.
-

Accepted Answer

The answer of Multiply.
-
...

Question 9

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.
-(z7)2 as 14z

Accepted Answer

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

Question 10

List the terms of the expression.
--4 + 4m + 7mn

Accepted Answer

The terms of the expression are separated by plus or minus signs. Thus, the terms of the expression "-4 + 4m + 7mn" are "-4", "4m", and "7mn".

Question 11

Multiply.
-8(x + 4)

Accepted Answer

When you distribute the 8 across the terms inside the parentheses, you multiply 8 by x and 8 by 4, resulting in 8x + 32.

Question 12

List the terms of the expression.
--6x + 17y

Accepted Answer

The terms of the expression are -6x and 17y, as each represents a distinct part of the expression separated by a plus or minus sign.

Question 13

Multiply.
-6(5 + 9s)

Accepted Answer

Using the distributive property, multiply 6 by each term inside the parentheses: 6*5 + 6*9s = 30 + 54s.

Question 14

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 + 2) + 3 as 5 + x

Accepted Answer

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

Question 15

Multiply.
-3(3x + 5y + 2)

Accepted Answer

To multiply the expression 3(3x + 5y + 2), distribute the 3 across each term inside the parentheses: 3*3x = 9x, 3*5y = 15y, and 3*2 = 6. Therefore, the correct expansion is 9x + 15y + 6.

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.
-(y + z) + 5 as (5 + z) + y

Accepted Answer

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

Question 17

Multiply.
-7(a +B)

Accepted Answer

When you distribute the 7 across the terms inside the parentheses, you multiply 7 by each term, resulting in 7a + 7b.

Question 18

Multiply.
--5.9(6.2x - 2.3y - 1.2)

Accepted Answer

The answer of Multiply.
--5.9(6.2x - 2.3y - 1.2)
...

Question 19

List the terms of the expression.
-3 - 3x - 7xy - 5

Accepted Answer

The terms of the expression are each part separated by a plus or minus sign. So, for the expression 3 - 3x - 7xy - 5, the terms are 3, -3x, -7xy, and -5.

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.
-(4w)5 as 20w

Accepted Answer

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

Quiz 2: Introduction to Real Numbers and Algebraic Expressions

List the terms of the expression. -11x + 7y

Multiply. -7(3r + 5 + 9s)

Multiply. -3(7 + m)

Multiply. -2(2x + 3)

List the terms of the expression. -6 - 6a + 5b

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. -(6 + y) + 4 as y + 10

List the terms of the expression. --4 + 6a - 9b

Multiply. -

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. -(z7)2 as 14z

List the terms of the expression. --4 + 4m + 7mn

Multiply. -8(x + 4)

List the terms of the expression. --6x + 17y

Multiply. -6(5 + 9s)

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 + 2) + 3 as 5 + x

Multiply. -3(3x + 5y + 2)

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. -(y + z) + 5 as (5 + z) + y

Multiply. -7(a +B)

Multiply. --5.9(6.2x - 2.3y - 1.2)

List the terms of the expression. -3 - 3x - 7xy - 5

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. -(4w)5 as 20w