Question

f + 15
- 2/3f

Answer 1

5
-15

Answer 2

a + 12
-3/4a

Answer 3

8
-12

Answer 4

4 • (-4)
And
4 • (1/4a)

Answer 5

8h - 16 = -4h - 10
What does h equal?

Answer 6

To simplify the expression \( f + 15 - \frac{2}{3}f \), we first need to combine the like terms involving \( f \).

1. Rewrite \( f \) as \( \frac{3}{3}f \) to have a common denominator:
\[
f = \frac{3}{3}f
\]

2. Now substitute this into the expression:
\[
\frac{3}{3}f - \frac{2}{3}f + 15
\]

3. Combine the \( f \) terms:
\[
\left(\frac{3}{3} - \frac{2}{3}\right)f + 15 = \frac{1}{3}f + 15
\]

So, the simplified form of the expression is:
\[
\frac{1}{3}f + 15
\]

Answer 7

To simplify the expression \(5 - 15\):

\[
5 - 15 = -10
\]

So, \(5 - 15\) equals \(-10\).

Answer 8

To simplify the expression \( a + 12 - \frac{3}{4}a \), we first combine the like terms involving \( a \).

1. Rewrite \( a \) as \( \frac{4}{4}a \) to have a common denominator:
\[
a = \frac{4}{4}a
\]

2. Now substitute this into the expression:
\[
\frac{4}{4}a - \frac{3}{4}a + 12
\]

3. Combine the \( a \) terms:
\[
\left( \frac{4}{4} - \frac{3}{4} \right) a + 12 = \frac{1}{4}a + 12
\]

So, the simplified form of the expression is:
\[
\frac{1}{4}a + 12
\]

Answer 9

To simplify the expression \(8 - 12\):

\[
8 - 12 = -4
\]

So, \(8 - 12\) equals \(-4\).

Answer 10

Let's simplify each expression one at a time.

1. **For \(4 \cdot (-4)\)**:
\[
4 \cdot (-4) = -16
\]

2. **For \(4 \cdot \left(\frac{1}{4}a\right)\)**:
\[
4 \cdot \left(\frac{1}{4}a\right) = \frac{4}{4}a = 1a = a
\]

So, the results are:
- \(4 \cdot (-4) = -16\)
- \(4 \cdot \left(\frac{1}{4}a\right) = a\)

Answer 11

To solve the equation \(8h - 16 = -4h - 10\) for \(h\), follow these steps:

1. **Add \(4h\) to both sides** to get all \(h\) terms on one side:
\[
8h + 4h - 16 = -10
\]
This simplifies to:
\[
12h - 16 = -10
\]

2. **Add 16 to both sides** to isolate the \(h\) term:
\[
12h - 16 + 16 = -10 + 16
\]
This simplifies to:
\[
12h = 6
\]

3. **Divide both sides by 12** to solve for \(h\):
\[
h = \frac{6}{12} = \frac{1}{2}
\]

So, the solution is:
\[
h = \frac{1}{2}
\]