Section 4.1 - Interpreting The Solution Of A Linear Equation
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.
Questions and Answers
- 1.
Solve 4x + 2 =18
- A.
X = 5
- B.
X = 4
- C.
X = 9
- D.
X = 16
Correct Answer
B. X = 4Explanation
To solve the equation 4x + 2 = 18, we need to isolate the variable x.
First, we subtract 2 from both sides of the equation to get 4x = 16.
Then, we divide both sides by 4 to solve for x, which gives us x = 4.
Therefore, the correct answer is x = 4.Rate this question:
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- 2.
Estimate the solution to 6x + 2 = 5
- A.
X = 2
- B.
X = 5
- C.
X = 6
- D.
X = 1/2
Correct Answer
D. X = 1/2Explanation
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:
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- 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?
- A.
30cm
- B.
250cm
- C.
12cm
- D.
6cm
Correct Answer
C. 12cmExplanation
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:
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- 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?
- A.
C = 25t + 75
- B.
C = 75t + 25
- C.
C = 25t
- D.
C = 100t
Correct Answer
A. C = 25t + 75Explanation
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:
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- 5.
Find the x-intercept of the equation y = 3x - 6
- A.
(0, -6)
- B.
(-6, 0)
- C.
(2, 0)
- D.
(0, 2)
Correct Answer
C. (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:
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- 6.
Which function will not have an x-intercept?
- A.
Y = x
- B.
Y = -2x
- C.
Y = 5
- D.
X = 2
Correct Answer
C. Y = 5Explanation
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:
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- 7.
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?
- A.
17 months
- B.
34 months
- C.
26 months
- D.
20 months
Correct Answer
A. 17 monthsExplanation
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:
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- 8.
Use algebra to solve the equation 4x + 3 = -13
- A.
X = -2.5
- B.
X = -16
- C.
X = -4
- D.
X = -3
Correct Answer
C. X = -4Explanation
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:
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- 9.
Find the x-intercept of the equation y = x + 3
- A.
(3, 0)
- B.
(0, 0)
- C.
(-3, 0)
- D.
(0, 3)
Correct Answer
C. (-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:
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- 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?
- A.
2000 min
- B.
300 min
- C.
20 min
- D.
200 min
Correct Answer
D. 200 minExplanation
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:
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Mar 20, 2023Quiz Edited by
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Oct 07, 2008Quiz Created by
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