Math / Algebra

QuestionOne Step Equations (Add/Subtract) Unique ID: 0275 Score: 2/5 Penalty: 0.5 off
Question Watch Video Show Examples
Solve for a. $-8=4+a$
Answer Attempt 1 out of 2 $a=$ $\square$ Submit Answer You have up to 8 questions left to raise vour score. Nor 18 7.51

Studdy Solution

STEP 1

1. The equation $-8 = 4 + a$ requires solving for the variable $a$ .
2. This is a one-step equation involving addition.
3. The goal is to isolate the variable $a$ .

STEP 2

1. Understand the equation structure.
2. Isolate the variable $a$ by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

The equation $-8 = 4 + a$ indicates that $a$ is added to 4 to result in $-8$ .

STEP 4

To isolate $a$ , we need to eliminate the 4 from the right side of the equation. We do this by subtracting 4 from both sides:
$-8 - 4 = 4 + a - 4$

STEP 5

Simplify both sides of the equation:
$-12 = a$
Thus, $a = -12$ .

STEP 6

Check the solution by substituting $a = -12$ back into the original equation:
Substitute $a = -12$ :
$-8 = 4 + (-12)$

STEP 7

Simplify the right side:
$-8 = -8$
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
$\boxed{-12}$

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QuestionOne Step Equations (Add/Subtract) Unique ID: 0275 Score: 2/5 Penalty: 0.5 off
Question Watch Video Show Examples
Solve for a. $-8=4+a$
Answer Attempt 1 out of 2 $a=$ $\square$ Submit Answer You have up to 8 questions left to raise vour score. Nor 18 7.51

Studdy Solution

STEP 1

1. The equation $-8 = 4 + a$ requires solving for the variable $a$ .
2. This is a one-step equation involving addition.
3. The goal is to isolate the variable $a$ .

STEP 2

1. Understand the equation structure.
2. Isolate the variable $a$ by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

The equation $-8 = 4 + a$ indicates that $a$ is added to 4 to result in $-8$ .

STEP 4

To isolate $a$ , we need to eliminate the 4 from the right side of the equation. We do this by subtracting 4 from both sides:
$-8 - 4 = 4 + a - 4$

STEP 5

Simplify both sides of the equation:
$-12 = a$
Thus, $a = -12$ .

STEP 6

Check the solution by substituting $a = -12$ back into the original equation:
Substitute $a = -12$ :
$-8 = 4 + (-12)$

STEP 7

Simplify the right side:
$-8 = -8$
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
$\boxed{-12}$

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QuestionOne Step Equations (Add/Subtract) Unique ID: 0275 Score: 2/5 Penalty: 0.5 offQuestion Watch Video Show ExamplesSolve for a. −8=4+a-8=4+a−8=4+aAnswer Attempt 1 out of 2 a=a=a= □\square□ Submit Answer You have up to 8 questions left to raise vour score. Nor 18 7.51

Studdy Solution

STEP 1

1. The equation −8=4+a -8 = 4 + a −8=4+a requires solving for the variable a a a.2. This is a one-step equation involving addition.3. The goal is to isolate the variable a a a.

STEP 2

1. Understand the equation structure.2. Isolate the variable a a a by performing algebraic operations.3. Verify the solution by substituting it back into the original equation.

STEP 3

The equation −8=4+a -8 = 4 + a −8=4+a indicates that a a a is added to 4 to result in −8-8−8.

STEP 4

To isolate a a a, we need to eliminate the 4 from the right side of the equation. We do this by subtracting 4 from both sides:−8−4=4+a−4 -8 - 4 = 4 + a - 4 −8−4=4+a−4

STEP 5

Simplify both sides of the equation:−12=a -12 = a −12=aThus, a=−12 a = -12 a=−12.

STEP 6

Check the solution by substituting a=−12 a = -12 a=−12 back into the original equation:Substitute a=−12 a = -12 a=−12:−8=4+(−12) -8 = 4 + (-12) −8=4+(−12)

STEP 7

Simplify the right side:−8=−8 -8 = -8 −8=−8Both sides are equal, confirming that the solution is correct.Therefore, the solution is:−12 \boxed{-12} −12​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionOne Step Equations (Add/Subtract) Unique ID: 0275 Score: 2/5 Penalty: 0.5 off
Question Watch Video Show Examples
Solve for a. $-8=4+a$
Answer Attempt 1 out of 2 $a=$ $\square$ Submit Answer You have up to 8 questions left to raise vour score. Nor 18 7.51

1. The equation $-8 = 4 + a$ requires solving for the variable $a$ .
2. This is a one-step equation involving addition.
3. The goal is to isolate the variable $a$ .

1. Understand the equation structure.
2. Isolate the variable $a$ by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

The equation $-8 = 4 + a$ indicates that $a$ is added to 4 to result in $-8$ .

To isolate $a$ , we need to eliminate the 4 from the right side of the equation. We do this by subtracting 4 from both sides:
$-8 - 4 = 4 + a - 4$

Simplify both sides of the equation:
$-12 = a$
Thus, $a = -12$ .

Check the solution by substituting $a = -12$ back into the original equation:
Substitute $a = -12$ :
$-8 = 4 + (-12)$

Simplify the right side:
$-8 = -8$
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
$\boxed{-12}$