Determine the first step in solving this equation.

Question

5n−18=−33


(1 point)
Responses

Add -33 to both sides of the equation.
Add -33 to both sides of the equation.

Add 18 to both sides of the equation.
Add 18 to both sides of the equation.

Multiply both sides of the equation by 5.
Multiply both sides of the equation by 5.

Subtract 18 from both sides of the equation.
Subtract 18 from both sides of the equation.

Add 5 to both sides of the equation.

Answer 1

To solve the equation \( 5n - 18 = -33 \), the first step should be to isolate the term with \( n \). The best approach here is to eliminate the constant term on the left side.

So, the correct first step is:

Add 18 to both sides of the equation.

This will allow you to simplify the equation into a more manageable form.

Answer 2

Determine the first step to solve this equation.

120−8d=7


(1 point)
Responses

Add 120 to both sides of the equation.
Add 120 to both sides of the equation.

Subtract 120 from both sides of the equation.
Subtract 120 from both sides of the equation.

Add 8 to both sides of the equation.
Add 8 to both sides of the equation.

Subtract 8 from both sides of the equation.
Subtract 8 from both sides of the equation.

Multiply -8 on both sides of the equation.

Answer 3

To solve the equation \( 120 - 8d = 7 \), the first step should be to isolate the term with the variable \( d \). The easiest way to start is by eliminating the constant term on the left side.

The correct first step is:

Subtract 120 from both sides of the equation.

This will simplify the equation and allow you to solve for \( d \).

Answer 4

Sort the following equations into one-step and two-step equations.(1 point)
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One-Step Equation Two-Step Equation
1/3x + 1 = -2
x/2 = 3
2x = 16
2x - 3 = 5
x - 3 = 5

Answer 5

Here’s how the equations can be sorted into one-step and two-step equations:

One-Step Equation:

• \( \frac{x}{2} = 3 \)
• \( 2x = 16 \)
• \( x - 3 = 5 \)

Two-Step Equation:

• \( \frac{1}{3}x + 1 = -2 \)
• \( 2x - 3 = 5 \)

Feel free to ask if you have more questions!

Answer 6

match the order of steps to solve the equation.

10x−18=−2
Step 1

Step 2

Step 3
Subtract 18 from both sides of the equation.
: : Add 18 to both sides of the equation.
Multiply both sides of the equation by 10 .
Divide both sides of the equation by 10 .
x = 8/5
x = -2
x = -8/5

Answer 7

To solve the equation \( 10x - 18 = -2 \), the correct order of steps is as follows:

Step 1: Add 18 to both sides of the equation.
This helps to isolate the term with \( x \):
\[ 10x - 18 + 18 = -2 + 18 \]
\[ 10x = 16 \]

Step 2: Divide both sides of the equation by 10.
This allows us to solve for \( x \):
\[ x = \frac{16}{10} \]
\[ x = \frac{8}{5} \]

Step 3: \( x = \frac{8}{5} \)

So, the matching of steps is:

• Step 1: Add 18 to both sides of the equation.
• Step 2: Divide both sides of the equation by 10.
• Step 3: \( x = \frac{8}{5} \)

Answer 8

The equation −3x−9=−21
is solved as follows. Enter the correct numbers to complete the solution.(1 point)
−3x−9=−21

−3x=

Add 9 to both sides of the equation.

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

Answer 9

Let's solve the equation step by step and fill in the blanks.

Starting with the equation:

\[ -3x - 9 = -21 \]

Step 1: Add 9 to both sides of the equation.

\[ -3x - 9 + 9 = -21 + 9 \]

This simplifies to:

\[ -3x = -12 \]

Step 2: Now we divide both sides of the equation by -3.

\[ x = \frac{-12}{-3} \]

This simplifies to:

\[ x = 4 \]

Putting the numbers in the blanks:

• −3x = -12 (complete this portion)
• x = 4 (complete this portion)

Final answer:

\[ -3x - 9 = -21 \]

\[ -3x = -12 \]

\[ x = 4 \]

Answer 10

The equation 5x+13=−12
is solved as follows. Enter the correct numbers to complete the solution.(1 point)
5x+13=−12

5x=

Subtract 13 from both sides of the equation.

x=

Divide both sides of the equation by 5. If the answer is an improper fraction, enter the improper fraction.

Answer 11

Let's solve the equation step by step and fill in the blanks.

Starting with the equation:

\[ 5x + 13 = -12 \]

Step 1: Subtract 13 from both sides of the equation.

\[ 5x + 13 - 13 = -12 - 13 \]

This simplifies to:

\[ 5x = -25 \]

Step 2: Now we divide both sides of the equation by 5.

\[ x = \frac{-25}{5} \]

This simplifies to:

\[ x = -5 \]

Putting the numbers in the blanks:

• 5x = -25 (complete this portion)
• x = -5 (complete this portion)

Final answer:

\[ 5x + 13 = -12 \]

\[ 5x = -25 \]

\[ x = -5 \]