7th Grade Math Quiz With Answers

Reviewed by Janaisa Harris
Janaisa Harris, BA (Mathematics) |
High School Math Teacher
Review Board Member
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's 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.
 , BA (Mathematics)
By Harven
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Harven
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Quizzes Created: 3 | Total Attempts: 68,577
| Attempts: 67,360
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  • 1/20 Questions

    What is the value of x in the equation x + 6 = 18?

    • 10
    • 12
    • 25
    • -12
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About This Quiz



The 7th-grade math quiz is designed to challenge your knowledge and understanding of essential math concepts. If you are reviewing for a test or simply practicing, this quiz will help you sharpen your skills and build confidence in solving a variety of problems. It covers topics like algebra, geometry, fractions, ratios, and percentages.

Each question is crafted to encourage logical thinking and problem-solving, helping you apply what you have learned in class to practical scenarios. Math is not just about numbers; it’s about finding patterns, solving puzzles, and thinking critically. These grade 7 mathematics questions and answers will test your ability to work with equations, calculate areas and perimeters, and understand proportional relationships.

7th Grade Math Quiz With Answers - Quiz

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  • 2. 

    Which is bigger? -14 or 0

    • -14 < 0

    • -14 > 0

    • -14 = 0

    Correct Answer
    A. -14 < 0
    Explanation
    In the given question, we are comparing -14 with 0.  0 is bigger than any negative number. Thus, -14 is less than 0 and the correct answer is A. 

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  • 3. 

    What is the value of x + 4 when x = 11?

    • 13

    • 14

    • 15

    • 16

    Correct Answer
    A. 15
    Explanation
     To evaluate x + 4 for x = 11:Substitute x = 11 into the expression: 11 + 4 = 15.Thus, the value of x + 4 when x = 11 is 15.

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  • 4. 

    What is the value of 'x' in this equation -7x = 105?

    • -12

    • -13

    • -14

    • -15

    Correct Answer
    A. -15
    Explanation
    To solve the equation -7x=105
    Divide both sides of the equation by −7 to solve for x:
    -7x/7=105/7
    Perform the division
    x=-105/7
    x=-15
    So, the solution to the equation −7x=105 is x=−15.

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  • 5. 

    What is the decimal representation of 1/4?

    • 0.1.

    • 0.01.

    • 0.25.

    • 0.5

    Correct Answer
    A. 0.25.
    Explanation
    A fraction can be converted into a decimal by dividing the numerator by the denominator. In this case, divide 1 (the numerator) by 4 (the denominator): 1 ÷ 4 = 0.25. This means that 1/4 is equal to 0.25 as a decimal. Decimals represent parts of a whole, and 0.25 corresponds to one-quarter of 1. This value is often used in daily measurements, such as money or weights, making it an important concept in arithmetic. Thus, the decimal representation of 1/4 is accurately written as 0.25.

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  • 6. 

    What is 6+(−4)?

    • 2

    • 10

    • -2

    • -10

    Correct Answer
    A. 2
    Explanation
    To calculate 6+(−4):
    Start with the number 6.
    Add -4 to it.
    6+(−4)= 6 − 4=2
    So, the result is 2.

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  • 7. 

    What is the value of 't' in this equation 1785 = t - (-836)?

    • 948

    • 949

    • 950

    • 951

    Correct Answer
    A. 949
    Explanation
    To solve the equation 1785=t−(−836):
    Rewrite the equation to simplify the double negative: 1785=t+836
    Subtract 836 from both sides to solve for t: 1785−836=t
    Perform the subtraction: 949=t
    So, t=949.

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  • 8. 

    What is 8−(−4)?

    • 2

    • 6

    • -12

    • 12

    Correct Answer
    A. 12
    Explanation
    To calculate 8−(−4):
    Start with the number 8.
    Subtract -4 from it.
    8−(−4)= 8 + 4=12
    So, the result is 12.

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  • 9. 

    What is −7×(−4)×3?

    • 81

    • 82

    • 83

    • 84

    Correct Answer
    A. 84
    Explanation
    To evaluate the expression −7×(−4)×3:
    Multiply −7 by −4: −7×(−4)=28
    Multiply the result by 3: 28×3=84
    So, the value of the expression −7×(−4)×3 is 84.

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  • 10. 

    What is the value of 2(4 + n) - 5 when n = 0?

    • 0

    • 1

    • 2

    • 3

    Correct Answer
    A. 3
    Explanation
    To evaluate the expression 2(4 + n) - 5 when n = 0, we substitute 0 for 'n'. This simplifies the expression to 2(4 + 0) - 5. Following the order of operations, we evaluate the parentheses first, resulting in 2(4) - 5. Next, we perform the multiplication, giving us 8 - 5. Finally, we subtract to get the answer, 3.

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  • 11. 

    What is [-3 x (4) x (2)]/-8?

    • 1

    • 2

    • 3

    • 4

    Correct Answer
    A. 3
    Explanation
    To evaluate the expression [-3 x 4 x 2]/-8
    Multiply −3 by 4: −3×4=−12
    Multiply the result by 2: −12×2=−24
    Divide the result by −8:
    −24/−8 = 3
    So, the value of the expression [-3 x 4 x 2]/-8 is 3.

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  • 12. 

    Evaluate for m=−5: What is the value of m+7?

    • -2

    • 12

    • 2

    • -12

    Correct Answer
    A. 2
    Explanation
    To evaluate the expression m+7 for m=−5:
    Substitute m=−5 into the expression: −5+7
    Perform the addition: −5+7=2
    So, the value of the expression when m=−5 is 2

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  • 13. 

    Write an algebraic expression for 77 more than the product of 2 and u.

    • 77 more than 2u

    • 2u - 77

    • 2u+77

    • 2u = 77

    Correct Answer
    A. 2u+77
    Explanation
    o write an algebraic expression for "77 more than the product of 2 and u":
    Start with the product of 2 and u: 2u.
    Add 77 to this product: 2u+77.
    So, the algebraic expression is 2u+77.

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  • 14. 

    Evaluate for m=−8: What is the value of 9−m?

    • -17

    • 17

    • 1

    • -1

    Correct Answer
    A. 17
    Explanation
    To evaluate the expression 9-m for m=−58
    Substitute m=−8 into the expression: 9 - (-8)
    Perform the addition: 9+8=17
    So, the value of the expression when m=−8 is 17

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  • 15. 

    Evaluate for x=8 and y=10: What is the value of 3x+2y?

    • 40

    • 41

    • 44

    • 50

    Correct Answer
    A. 44
    Explanation
    Substitute x=8 and y=10 into the expression: 3(8)+2(10)
    Perform the multiplications:
    3×8=24
    2×10=20
    Add the results: 24+20=44
    So, the value of the expression when x=8 and y=10 is 44.

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  • 16. 

    What is the mathematical expression for the statement: The quotient of a number t and 7, plus 2, is -4?

    • 7/t - 2 = -4.

    • T/7 = 2 + (-4).

    • T/7 + 2 = -4.

    • Both "a" and "b."

    Correct Answer
    A. T/7 + 2 = -4.
    Explanation
    To translate the given statement "The quotient of a number t and 7, plus 2, is -4," we need to find the correct algebraic expression that matches this description.
    The statement can be broken down as follows:
    "The quotient of a number 𝑡t and 7" means t/7
    "plus 2" means we add 2 to the quotient.
    "is -4" means the expression equals -4.

    Putting it all together, we get:
    t/7+2=-4

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  • 17. 

    How can 0.4 be represented as a fraction?

    • 7/10.

    • 2/5.

    • 0.4/4

    • 1/2

    Correct Answer
    A. 2/5.
    Explanation
    To write 0.40.4 as a fraction and simplify it:
    Write 0.4 as a fraction:
    0.4=4/10
    Simplify the fraction by finding the greatest common divisor (GCD) of 4 and 10, which is 2:
    4÷2/10÷2=2/5
    So, 0.4 as a simplified fraction is 2/5

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  • 18. 

    Determine the result of the expression: What is ∣−10−(∣4∣+1)∣?

    • 15

    • -15

    • 7

    • 5

    Correct Answer
    A. 15
    Explanation
    To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS) and remember that the vertical bars represent absolute value, which is the distance of a number from zero, regardless of sign.
    Innermost absolute value: ∣4∣ = 4
    Parentheses: 4 + 1 = 5
    Subtraction: -10 - 5 = -15
    Outermost absolute value: ∣-15∣ = 15
    Therefore, the result of the expression is 15.
     

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  • 19. 

    How can 0.55555... be represented as a fraction?

    • 5/9

    • 5/10

    • 1/2

    • 1/3

    Correct Answer
    A. 5/9
    Explanation
    To express the repeating decimal 0.55555... as a fraction and simplify it, we can set up the following equation:
    x = 0.55555...
    Now, we'll subtract this repeating decimal from 10x, which should eliminate the repeating part:
    10x - x = 5.55555... - 0.55555...
    9x = 5
    Now, divide both sides by 9 to solve for x:
    x = 5/9
    So, the repeating decimal 0.55555... is equal to the fraction 5/9.

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  • 20. 

    Which is greater?: -3/7 or -0.375

    • -3/7 < -0.375

    • -3/7 > -0.375

    • -3/7 = -0.375

    Correct Answer
    A. -3/7 < -0.375
    Explanation
    To determine which is greater, −3/7 or -0.375 we need to compare the two values. We can convert -3/7 to a decimal for an easier comparison.

     

    Convert -3/7 to a decimal

    -3/7 ≈ 0.4286
    Compare the two decimals:
    −0.4286 (approximate value of −3/7​)
    −0.375
    Since −0.4286 is less than −0.375, −0.375 is greater.
    Therefore, −0.375 is greater than −3/7

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Janaisa Harris |BA (Mathematics) |
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's 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.

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  • Current Version
  • Dec 06, 2024
    Quiz Edited by
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    Expert Reviewed by
    Janaisa Harris
  • Oct 22, 2010
    Quiz Created by
    Harven
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