How Do You Solve A Two-step Equation?

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| By Mscarborough
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Mscarborough
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Quizzes Created: 1 | Total Attempts: 3,443
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  • 1/10 Questions

    Tell whether the following solution makes the equation true.10x - 20 = 0         x=2

    • Yes
    • No
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About This Quiz

The two-step equation is the term given to equations or inequalities that have more than one operation. What can you tell us about these two specific steps towards solving them? Let’s find out in this quiz.

How Do You Solve A Two-step Equation? - Quiz

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  • 2. 

    Solve for x:3x + 5 = 23

    • 4

    • 5

    • 6

    • 7

    Correct Answer
    A. 6
    Explanation
    To solve the equation 3x + 5 = 23, we need to isolate the variable x. First, subtract 5 from both sides of the equation to get 3x = 18. Then, divide both sides of the equation by 3 to solve for x, which gives x = 6. Therefore, the correct answer is 6.

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  • 3. 

    Tell whether the following solution makes the equation true. 8 + x/5 = 12       x=10

    • Yes

    • No

    Correct Answer
    A. No
    Explanation
    The given equation is 8 + x/5 = 12. To check if the solution x=10 makes the equation true, we substitute x=10 into the equation.
    8 + 10/5 = 12.
    8 + 2 = 12.
    10 = 12.
    Since 10 is not equal to 12, the solution x=10 does not make the equation true. Therefore, the answer is no.

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  • 4. 

    21 = 4x - 3

    • 3

    • 4

    • 5

    • 6

    Correct Answer
    A. 6
    Explanation
    To find the value of x in the equation 21 = 4x - 3, we need to isolate the variable x. First, we add 3 to both sides of the equation to get 24 = 4x. Then, we divide both sides by 4 to solve for x, which gives us x = 6. Therefore, the correct answer is 6.

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  • 5. 

    What is the first step to solving this equation?3x - 8 = 4

    • Multiply each side by 3

    • Divide each side by 3

    • Add 8 to each side

    • Subtract 8 from each side

    Correct Answer
    A. Add 8 to each side
    Explanation
    To solve the equation 3x - 8 = 4, the first step is to add 8 to each side. This is done in order to isolate the variable term, 3x, on one side of the equation. By adding 8 to each side, the equation becomes 3x = 12, allowing for further simplification and solving for x.

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  • 6. 

    X/2 + 7 = 12

    • 10

    • -10

    • 2.5

    • -2.5

    Correct Answer
    A. 10
    Explanation
    To solve the equation x/2 + 7 = 12, we need to isolate x. We can start by subtracting 7 from both sides of the equation. This gives us x/2 = 5. To get rid of the fraction, we can multiply both sides of the equation by 2. This results in x = 10. Therefore, the correct answer is 10.

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  • 7. 

    52 = -5x - 3

    • -11

    • 11

    • 275

    • -275

    Correct Answer
    A. -11
    Explanation
    To find the value of x, we need to solve the equation 52 = -5x - 3. We can start by isolating the term with x by adding 3 to both sides of the equation, which gives us 55 = -5x. Then, we can divide both sides by -5 to solve for x. Dividing 55 by -5 gives us x = -11. Therefore, the correct answer is -11.

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  • 8. 

    -2x + 8 = -10

    • 9

    • -9

    • 1

    • -1

    Correct Answer
    A. 9
    Explanation
    By solving the given equation, we can find the value of x. To isolate x, we need to get rid of the constant term on the left side of the equation. By subtracting 8 from both sides, we get -2x = -18. To solve for x, we divide both sides by -2, giving us x = 9. Therefore, the correct answer is 9.

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  • 9. 

    What is the second step to solving this equation?x/4 - 6 = -3

    • Subtract 6 from each side

    • Add 6 to each side

    • Multiply each side by 4

    • Divide each side by 4

    Correct Answer
    A. Multiply each side by 4
    Explanation
    To solve the equation x/4 - 6 = -3, the second step is to multiply each side of the equation by 4. This is done to eliminate the fraction x/4 and get rid of the denominator. By multiplying each side by 4, the equation becomes x - 24 = -12, which simplifies the equation further and allows for easier solving.

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  • 10. 

    120 = -30 - 5x

    • 18

    • -18

    • 30

    • -30

    Correct Answer
    A. -30
    Explanation
    To solve for x, we need to isolate it:
    Add 30 to both sides: 120 + 30 = -30 - 5x + 30 150 = -5x
    Divide both sides by -5: 150 / -5 = -5x / -5
    Simplify: -30 = x
    Therefore, x = -30

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  • Current Version
  • Jan 20, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • May 17, 2010
    Quiz Created by
    Mscarborough
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