Question

Expand using the Distributive Property: -6(5h - 3)

Answer 1

Factor the expression: 9x + 21(1 point)

Answer 2

Factor the expression: 35x + 20

Answer 3

Add the expressions.(2.5x + 3) + (5x - 1.2)

Answer 4

Subtract the expressions. (8y + 6) - (3y + 4)

Answer 5

Simplify the expression by using the Distributive Property and combining like terms. 5(3x + 4) - 7x - 3

Answer 6

To expand the expression \(-6(5h - 3)\) using the Distributive Property, you multiply \(-6\) by each term inside the parentheses.

Starting with the expression:

\[
-6(5h - 3)
\]

We distribute \(-6\) to both \(5h\) and \(-3\):

1. Multiply \(-6\) by \(5h\):
\[
-6 \cdot 5h = -30h
\]

2. Multiply \(-6\) by \(-3\):
\[
-6 \cdot -3 = 18
\]

Now, combine the results:

\[
-30h + 18
\]

So, the expanded expression is:

\[
-30h + 18
\]

Answer 7

To factor the expression \(9x + 21\), look for the greatest common factor (GCF) of the two terms.

In this case:

1. The GCF of \(9\) and \(21\) is \(3\).

Now, we can factor out \(3\):

\[
9x + 21 = 3(3x + 7)
\]

So, the factored expression is:

\[
3(3x + 7)
\]

Answer 8

To factor the expression \(35x + 20\), we first find the greatest common factor (GCF) of the two terms.

1. **Identify the GCF**:
- The GCF of \(35\) and \(20\) is \(5\).

Now, we can factor out \(5\):

\[
35x + 20 = 5(7x + 4)
\]

So, the factored expression is:

\[
5(7x + 4)
\]

Answer 9

To add the expressions \((2.5x + 3) + (5x - 1.2)\), we will combine like terms.

Start by rewriting the expression:

\[
2.5x + 3 + 5x - 1.2
\]

Now, group the \(x\) terms and the constant terms:

1. Combine the \(x\) terms:
\[
2.5x + 5x = 7.5x
\]

2. Combine the constant terms:
\[
3 - 1.2 = 1.8
\]

Putting it all together, we get:

\[
7.5x + 1.8
\]

So, the result of the addition is:

\[
7.5x + 1.8
\]

Answer 10

To subtract the expressions \((8y + 6) - (3y + 4)\), first rewrite the expression by distributing the negative sign to both terms in the second parentheses:

\[
(8y + 6) - (3y + 4) = 8y + 6 - 3y - 4
\]

Now, combine like terms:

1. Combine the \(y\) terms:
\[
8y - 3y = 5y
\]

2. Combine the constant terms:
\[
6 - 4 = 2
\]

Putting it all together, we have:

\[
5y + 2
\]

So, the result of the subtraction is:

\[
5y + 2
\]

Answer 11

To simplify the expression \(5(3x + 4) - 7x - 3\) using the Distributive Property and combining like terms, follow these steps:

1. **Distribute \(5\) to the terms inside the parentheses**:
\[
5(3x) + 5(4) = 15x + 20
\]

So, the expression becomes:
\[
15x + 20 - 7x - 3
\]

2. **Combine like terms**:
- Combine the \(x\) terms:
\[
15x - 7x = 8x
\]
- Combine the constant terms:
\[
20 - 3 = 17
\]

Putting it all together, we get:
\[
8x + 17
\]

So, the simplified expression is:
\[
8x + 17
\]