Section 4.1 - Interpreting The Solution Of A Linear Equation

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Seixeiroda
S
Seixeiroda
Community Contributor
Quizzes Created: 41 | Total Attempts: 30,315
| Attempts: 983
SettingsSettings
Please wait...
  • 1/10 Questions

    Solve 4x + 2 =18

    • X = 5
    • X = 4
    • X = 9
    • X = 16
Please wait...
About This Quiz

Interpreting the solution of a linear equation is a topic in algebra therefore if you are a student in need of practice then this quiz is for you. If you are prepared to test your knowledge try it out.

Linear Equations Quizzes & Trivia

Quiz Preview

  • 2. 

    Estimate the solution to 6x + 2 = 5

    • X = 2

    • X = 5

    • X = 6

    • X = 1/2

    Correct Answer
    A. X = 1/2
    Explanation
    To estimate the solution to the equation 6x + 2 = 5, we need to isolate the variable x. By subtracting 2 from both sides of the equation, we get 6x = 3. To solve for x, we divide both sides of the equation by 6, which gives us x = 1/2. Therefore, the correct answer is x = 1/2.

    Rate this question:

  • 3. 

    Sophie is buying a gold chain.  The gold chain costs $2.50 per cm.  How many cm can she buy if she has $30 to spend?

    • 30cm

    • 250cm

    • 12cm

    • 6cm

    Correct Answer
    A. 12cm
    Explanation
    Sophie has $30 to spend and the gold chain costs $2.50 per cm. To find out how many cm she can buy, we divide the total amount she has by the cost per cm. So, $30 divided by $2.50 equals 12. Therefore, Sophie can buy 12 cm of the gold chain with her $30.

    Rate this question:

  • 4. 

    A plumber charges a $75 flat fee plus $25 per hour for each job.  Which linear equation represents the cost of a job that lasts "t" hours?

    • C = 25t + 75

    • C = 75t + 25

    • C = 25t

    • C = 100t

    Correct Answer
    A. C = 25t + 75
    Explanation
    The equation c = 25t + 75 represents the cost of a job that lasts "t" hours. The $75 flat fee is added to the $25 per hour charge for each hour of work. This equation follows the form of a linear equation, where the cost (c) is equal to the rate per hour (25t) multiplied by the number of hours (t), with the flat fee (75) added.

    Rate this question:

  • 5. 

    Use algebra to solve the equation 4x + 3 = -13

    • X = -2.5

    • X = -16

    • X = -4

    • X = -3

    Correct Answer
    A. X = -4
    Explanation
    To solve the equation 4x + 3 = -13, we need to isolate the variable x. First, we subtract 3 from both sides of the equation to get 4x = -16. Then, we divide both sides by 4 to solve for x. This gives us x = -4. Therefore, the correct answer is x = -4.

    Rate this question:

  • 6. 

    Nate is saving up to purchase a new computer.  He has $175 already and can save $20 per month.  How long will it take him to save $515?

    • 17 months

    • 34 months

    • 26 months

    • 20 months

    Correct Answer
    A. 17 months
    Explanation
    Nate already has $175 and can save $20 per month. To calculate how long it will take him to save $515, we can subtract his current savings from the target amount and then divide it by his monthly savings. $515 - $175 = $340. $340 ÷ $20 = 17. Therefore, it will take Nate 17 months to save $515.

    Rate this question:

  • 7. 

    Which function will not have an x-intercept?

    • Y = x

    • Y = -2x

    • Y = 5

    • X = 2

    Correct Answer
    A. Y = 5
    Explanation
    The equation y = 5 represents a horizontal line with a y-coordinate of 5. Since the line is parallel to the x-axis, it will never intersect the x-axis and therefore will not have an x-intercept.

    Rate this question:

  • 8. 

    Find the x-intercept of the equation y = 3x - 6

    • (0, -6)

    • (-6, 0)

    • (2, 0)

    • (0, 2)

    Correct Answer
    A. (2, 0)
    Explanation
    The x-intercept of an equation is the point where the graph of the equation intersects the x-axis. To find the x-intercept, we set y = 0 and solve for x. In the given equation y = 3x - 6, when y = 0, we have 0 = 3x - 6. Solving this equation, we find x = 2. Therefore, the x-intercept is (2, 0).

    Rate this question:

  • 9. 

    Find the x-intercept of the equation y =  x + 3

    • (3, 0)

    • (0, 0)

    • (-3, 0)

    • (0, 3)

    Correct Answer
    A. (-3, 0)
    Explanation
    The x-intercept of an equation represents the point where the graph of the equation intersects the x-axis. To find the x-intercept, we set y=0 and solve for x. In this equation, when y=0, x+3=0, which gives x=-3. Therefore, the x-intercept is (-3, 0).

    Rate this question:

  • 10. 

    A cell-phone company charges $10 per month plus $0.10 per minute.  How many minutes can Tori use if she budgeted $30 per month for her cell-phone bill?

    • 2000 min

    • 300 min

    • 20 min

    • 200 min

    Correct Answer
    A. 200 min
    Explanation
    Tori has a budget of $30 per month for her cell-phone bill. The cell-phone company charges $10 per month plus $0.10 per minute. To find out how many minutes Tori can use, we subtract the fixed monthly charge of $10 from her budget, which leaves $20. Then, we divide this remaining amount by the cost per minute, which is $0.10. By doing this calculation, we find that Tori can use 200 minutes within her budget of $30 per month.

    Rate this question:

Quiz Review Timeline (Updated): Mar 20, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 07, 2008
    Quiz Created by
    Seixeiroda
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.