7th Grade Math Quiz With Answers

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Janaisa Harris, BA (Mathematics) |
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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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1. What is the value of x in the equation x + 6 = 18?

Explanation

To determine if x is equal to 10, 12, or 25 for the equation x+6=18:

Start with the equation: x+6=18

Subtract 6 from both sides to solve for x: x=18−6 x=12

So, x is equal to 12.

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About This Quiz
7th Grade Math Quiz With Answers - 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... see morequiz 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. see less

2. Which is bigger? -14 or 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?

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?

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?

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)?

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)?

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)?

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 −7m(−4)m3?

Explanation

To solve −7 × (−4) × 3, start by multiplying the first two numbers:

−7 × (−4) = 28, because the product of two negative numbers is positive.

Then multiply the result by 3:

28 × 3 = 84.

This order of operations follows standard multiplication rules: proceed left to right. The presence of parentheses reinforces which numbers to multiply first but does not change the order here. Thus, the final answer is 84, and it's mathematically correct.

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

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?

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?

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.

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?

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?

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?

Explanation

The statement says "the quotient of a number t and 7," which means t divided by 7. In math, division is shown using the slash symbol /, so that becomes t / 7. Then it says "plus 2," so we add 2 to the expression, making it t / 7 + 2. Finally, "is -4" means the expression equals -4. So the full mathematical sentence becomes t / 7 + 2 = -4, and this correctly matches the original statement.

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17. How can 0.4 be represented as a fraction?

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)∣?

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?

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

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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What is the value of x in the equation x + 6 = 18?
Which is bigger? -14 or 0
What is the value of x + 4 when x = 11?
What is the value of 'x' in this equation -7x = 105?
What is the decimal representation of 1/4?
What is 6+(−4)?
What is the value of 't' in this equation 1785 = t - (-836)?
What is 8−(−4)?
What is −7m(−4)m3?
What is the value of 2(4 + n) - 5 when n = 0?
What is [-3 x (4) x (2)]/-8?
Evaluate for m=−5: What is the value of m+7?
Write an algebraic expression for 77 more than the product of 2 and u.
Evaluate for m=−8: What is the value of 9−m?
Evaluate for x=8 and y=10: What is the value of 3x+2y?
What is the mathematical expression for the statement: The quotient of...
How can 0.4 be represented as a fraction?
Determine the result of the expression: What is...
How can 0.55555... be represented as a fraction?
Which is greater?: -3/7 or -0.375
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