Algebra 1 Quiz With Answers

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Janaisa Harris, BA-Mathematics |
Mathematics Expert
Review Board Member
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA-Mathematics
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Algebra 1 Quiz With Answers - Quiz

Do you think you have a good understanding of algebra? Check out this awesome algebra 1 quiz that we have created below for you. Algebra is an interesting and bit tricky topic of mathematics subject. Will you be able to pass this test? Well, try taking this quiz, and you can find out the answer today itself! So, give this quiz a try and get to test your knowledge. Ready? Let's start then.


Questions and Answers
  • 1. 

     42  =

    • A.

      8

    • B.

      16

    • C.

      6

    • D.

      1

    Correct Answer
    B. 16
  • 2. 

    What will be the value of x in this equation:  2x - 4 = 0

    • A.

      0

    • B.

      -2

    • C.

      2

    • D.

      1

    • E.

      4

    Correct Answer
    C. 2
    Explanation
    The value of x in the equation 2x - 4 = 0 can be found by isolating x. Adding 4 to both sides of the equation gives 2x = 4. Then, dividing both sides by 2 gives x = 2.

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  • 3. 

    Use the formula above, when x = -1to find the value for y.

    • A.

      6

    • B.

      -4

    • C.

      8

    • D.

      5

    • E.

      0

    Correct Answer
    A. 6
  • 4. 

    What is the slope of a line containing the points (3,2) and (-1,0).

    • A.

      -3/2

    • B.

      -1

    • C.

      2/1

    • D.

      1/2

    Correct Answer
    D. 1/2
    Explanation
    The slope of a line can be found using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the coordinates are (3,2) and (-1,0). Plugging these values into the formula, we get (0 - 2) / (-1 - 3) = -2 / -4 = 1/2. Therefore, the slope of the line is 1/2.

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  • 5. 

    Solve: 4/2 + 7/2 =

    • A.

      5 1/4

    • B.

      5  1/2

    • C.

      11/4

    • D.

      7/4

    • E.

      5 2/1

    Correct Answer
    B. 5  1/2
    Explanation
    The given expression involves adding two fractions with a common denominator of 2. When we add 4/2 and 7/2, we get a sum of 11/2. However, 11/2 can be simplified to the mixed number 5 1/2. Therefore, the correct answer is 5 1/2.

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  • 6. 

    Use the formula above to find a when b = 4, c = 5.

    • A.

      2

    • B.

      1

    • C.

      4

    • D.

      6

    • E.

      3

    Correct Answer
    E. 3
  • 7. 

    Find the value of x in this equation: x + 2(x + 7) = 14x– 7. 

    • A.

      3/2

    • B.

      21/11

    • C.

      11/7

    • D.

      2/5

    Correct Answer
    B. 21/11
    Explanation
    To find the value of x in the equation, we first distribute the 2 to the terms inside the parentheses: x + 2x + 14 = 14x - 7. Then, we combine like terms: 3x + 14 = 14x - 7. Next, we isolate the variable terms on one side and the constant terms on the other side: 14 + 7 = 14x - 3x. Simplifying further, we have 21 = 11x. Finally, we divide both sides by 11 to solve for x, resulting in x = 21/11. 

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  • 8. 

    What will be the value of z in this equation- 5(z + 1) = 3(z + 2) + 11. 

    • A.

      6

    • B.

      -6

    • C.

      4

    • D.

      9

    Correct Answer
    A. 6
    Explanation
    To find the value of z, we need to solve the equation. First, we distribute the 5 and 3 to the terms inside the parentheses: 5z + 5 = 3z + 6 + 11. Then, we combine like terms: 5z + 5 = 3z + 17. Next, we subtract 3z from both sides: 2z + 5 = 17. Finally, we subtract 5 from both sides: 2z = 12. Dividing both sides by 2, we find that z = 6.

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  • 9. 

    (x – 2) / 4 – (3x + 5) / 7 = – 3, x = ?

    • A.

      5

    • B.

      15

    • C.

      10

    • D.

      2

    Correct Answer
    C. 10
    Explanation
    To find the value of x in the given equation, we need to simplify the equation by combining like terms and isolating x. First, we can find a common denominator for the fractions by multiplying the first fraction by 7 and the second fraction by 4. This gives us (7(x - 2) - 4(3x + 5)) / 28 = -3. Next, we can distribute the numbers and simplify the equation to get (7x - 14 - 12x - 20) / 28 = -3. Combining like terms, we have (-5x - 34) / 28 = -3. To isolate x, we can cross-multiply and solve for x, which gives us -5x - 34 = -84. Solving for x, we find x = 10.

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  • 10. 

    12q – 10 = 14q + 2. Find q. 

    • A.

      8

    • B.

      6

    • C.

      -6

    • D.

      0

    Correct Answer
    C. -6
    Explanation
    Start by isolating the variable q on one side of the equation. To do this, you need to move all terms with q to one side and constants to the other side.
    12q - 14q = 2 + 10
    -2q = 12
    Now, divide both sides by -2 to solve for q:
    (-2q) / (-2) = 12 / (-2)
    q = -6
    So, the value of q is q = -6.

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Janaisa Harris |BA-Mathematics |
Mathematics Expert
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.

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  • Current Version
  • Mar 05, 2024
    Quiz Edited by
    ProProfs Editorial Team

    Expert Reviewed by
    Janaisa Harris
  • Jun 18, 2009
    Quiz Created by
    Agnesafreelove
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