Question

Determine the first step in solving this equation

5n - 18 = -33

Answer 1

answer choices

add 18 to both sides of the equation

add -33 to both sides of the equation

subtract 18 from both sides of the equation

Multiply both sides of the equation by 5

add 5 to both sides of the equation

Answer 2

determine the first step to solve this equation

120 - 8d = 7

Answer 3

sort the following equations into one-step and two-step equations.

2x = 16 1/3x + 1 = -2 x - 3 = 5 x/2 = 3 2x - 3 = 5



One-step equation



Two-step equation

Answer 4

Match the order of steps to solve the equation

10x - 18 = -2

Answer 5

The equation -3x - 9 = -21 is solved as follows. Enter the correct numbers to complete the solution.

-3x - 9 = -21

-3x = blank Add 9 to both sides of the equation

x = blank Divide both sides of the equation by -3. if the answer is an improper fraction, enter the improper fraction

Answer 6

To begin solving the equation \( 5n - 18 = -33 \), the first step is to isolate the term with the variable \( n \). You can do this by adding 18 to both sides of the equation.

Here’s how it looks:

\[
5n - 18 + 18 = -33 + 18
\]

This simplifies to:

\[
5n = -15
\]

Now you can proceed to solve for \( n \).

Answer 7

The correct first step in solving the equation \( 5n - 18 = -33 \) from the answer choices provided is:

**add 18 to both sides of the equation**.

This will help isolate the term with the variable \( n \).

Answer 8

To begin solving the equation \( 120 - 8d = 7 \), the first step is to isolate the term with the variable \( d \). You can do this by subtracting 120 from both sides of the equation.

Here’s how it looks:

\[
120 - 8d - 120 = 7 - 120
\]

This simplifies to:

\[
-8d = -113
\]

Now you can proceed to solve for \( d \).

So, the first step is:

**subtract 120 from both sides of the equation**.

Answer 9

Let's sort the given equations into one-step and two-step equations.

### One-step equations:
These equations can be solved in a single operation (addition, subtraction, multiplication, or division).

1. \( 2x = 16 \) (Divide both sides by 2)
2. \( x/2 = 3 \) (Multiply both sides by 2)

### Two-step equations:
These equations require two operations to isolate the variable.

1. \( 1/3x + 1 = -2 \) (Subtract 1 and then multiply by 3)
2. \( x - 3 = 5 \) (Add 3 and then solve for \( x \))
3. \( 2x - 3 = 5 \) (Add 3 and then divide by 2)

Here’s the final sorted list:

### One-step equations:
- \( 2x = 16 \)
- \( x/2 = 3 \)

### Two-step equations:
- \( 1/3x + 1 = -2 \)
- \( x - 3 = 5 \)
- \( 2x - 3 = 5 \)

Answer 10

To solve the equation \( 10x - 18 = -2 \), we can break down the process into clear steps. Here's the order of steps to solve this equation:

### Step 1: Add 18 to both sides
This will isolate the term with \( x \).

\[
10x - 18 + 18 = -2 + 18
\]

This simplifies to:

\[
10x = 16
\]

### Step 2: Divide both sides by 10
Now, we isolate \( x \) by dividing both sides by 10.

\[
\frac{10x}{10} = \frac{16}{10}
\]

This simplifies to:

\[
x = \frac{8}{5} \quad \text{or} \quad x = 1.6
\]

### Summary of Steps
1. **Add 18 to both sides.**
2. **Divide both sides by 10.**

This leads to the final solution \( x = \frac{8}{5} \) or \( x = 1.6 \). If you need a more detailed explanation or different formatting, please let me know!

Answer 11

To solve the equation \(-3x - 9 = -21\), let's complete the solution step by step.

1. **Starting with the equation:**
\[
-3x - 9 = -21
\]

2. **Add 9 to both sides:**
\[
-3x - 9 + 9 = -21 + 9
\]
Which simplifies to:
\[
-3x = -12
\]

3. **Now we can fill in the first blank:**
The first blank is **-12**.

4. **Next, divide both sides by -3:**
\[
x = \frac{-12}{-3}
\]
Which simplifies to:
\[
x = 4
\]

5. **Now we can fill in the second blank:**
The second blank is **4**.

So the completed solution is:

- **-3x - 9 = -21**

- **-3x = -12** (Add 9 to both sides of the equation)

- **x = 4** (Divide both sides of the equation by -3)