# Math Quiz For High School

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AndyBeckhum
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Are you in high school, and there is nothing that is giving you a hard time at school like math? If you have a big yes to this question, then the quiz below is perfect for you as it is designed to test out all the concepts you should understand at your grade. Do give it a try and see if you should spend more time hitting the books on some topics.

• 1.

### What percent of a circle is 75 degrees?

• A.

75%

• B.

20.83%

• C.

15%

• D.

25%

B. 20.83%
Explanation
The measure of an angle in a circle is directly proportional to the percentage of the circle it represents. Since 75 degrees is 20.83% of 360 degrees (a full circle), the correct answer is 20.83%.

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• 2.

### Which expression represents the use of the distributive property on 3(a + b)?

• A.

3ab

• B.

A + 3b

• C.

3a + b

• D.

3a + 3b

D. 3a + 3b
Explanation
The expression 3(a + b) represents the use of the distributive property because the 3 is being multiplied to both terms inside the parentheses. This means that the 3 is being distributed or distributed across both a and b. Therefore, the correct answer is 3a + 3b.

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• 3.

### What is the greatest common factor of 9x, 3y, and 12z?

• A.

Xyz

• B.

3x

• C.

3

• D.

3y

C. 3
Explanation
The greatest common factor (GCF) is the largest number that divides evenly into all of the given terms. In this case, the GCF of 9x, 3y, and 12z is 3 because it is the largest number that can divide evenly into all of them. Each term has a factor of 3, so it is the common factor among them. Therefore, the correct answer is 3.

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• 4.

### What value of x makes "-6x = -42" a true statement?

• A.

7

• B.

-7

• C.

-6

• D.

6

A. 7
Explanation
To find the value of x that makes "-6x = -42" a true statement, we need to solve the equation. By dividing both sides of the equation by -6, we get x = 7. Substituting x = 7 back into the equation, we have -6(7) = -42, which is true. Therefore, the correct answer is 7.

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• 5.

### What is the slope of y = -4x + 1?

• A.

-1

• B.

1

• C.

-4

• D.

4

C. -4
Explanation
The slope of a linear equation in the form y = mx + b represents the rate at which y changes with respect to x. In this equation, the coefficient of x is -4, which means that for every increase of 1 in x, y decreases by 4. Therefore, the slope of y = -4x + 1 is -4.

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• 6.

### What value of x makes 4x - 2 = 2(x + 1) a true statement?

• A.

0

• B.

-2

• C.

1

• D.

2

D. 2
Explanation
To find the value of x that makes the equation true, we need to solve for x. By distributing 2 to (x + 1), we get 4x - 2 = 2x + 2. Combining like terms, we have 2x = 4. Dividing both sides by 2, we find that x = 2. Therefore, the value of x that makes the equation true is 2.

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• 7.

### What is the square root of 28 in simplified form?

• A.

Square Root 9

• B.

Square Root 14

• C.

2 Times The Square Root of 7

• D.

7 Times The Square Root of 2

C. 2 Times The Square Root of 7
Explanation
The square root of 28 can be simplified as 2 times the square root of 7. This is because 28 can be factored into 2 times 2 times 7, and the square root of 2 times 2 is 2, while the square root of 7 remains as it is. Therefore, the simplified form of the square root of 28 is 2 times the square root of 7.

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• 8.

### What is the solution of 4x - 7(x - 1) > 3(x + 1)?

• A.

X < 2/3

• B.

X > -2/3

• C.

X > 2/3

• D.

X < -2/3

A. X < 2/3
Explanation
To solve the given inequality, we first distribute the -7 and 3 to the terms inside the parentheses. This gives us 4x - 7x + 7 > 3x + 3. Simplifying further, we combine like terms to get -3x + 7 > 3x + 3. Next, we subtract 3x from both sides to isolate the variable. This gives us -6x + 7 > 3. Then, we subtract 7 from both sides to further isolate the variable. This gives us -6x > -4. Finally, we divide both sides by -6, remembering to flip the inequality sign since we are dividing by a negative number. This gives us x < 2/3 as the solution to the inequality.

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• 9.

### What value of x makes "2x + 3 = 15" a true statement?

• A.

9

• B.

-9

• C.

-6

• D.

6

D. 6
Explanation
To find the value of x that makes the equation "2x + 3 = 15" true, we need to solve for x. Subtracting 3 from both sides of the equation gives us 2x = 12. Dividing both sides by 2 gives us x = 6. Therefore, the value of x that makes the equation true is 6.

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• 10.

### What kind of slope does the line 3x - 2y = 6 have?

• A.

Negative

• B.

Zero

• C.

Undefined

• D.

Positive

D. Positive
Explanation
The line 3x - 2y = 6 can be rewritten as y = (3/2)x - 3. In this form, the coefficient of x is positive, indicating that the line has a positive slope. This means that as x increases, y also increases, and as x decreases, y decreases. Therefore, the correct answer is positive.

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• 11.

### What kind of slope does the line "3x + 2y = 6" have?

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

B. Negative
Explanation
The line "3x + 2y = 6" has a negative slope. This can be determined by rearranging the equation into slope-intercept form, y = mx + b, where m represents the slope. By isolating y, we get y = -3/2x + 3. The negative coefficient of x indicates that the slope is negative.

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• 12.

### If x = 4, what is 3^x (3 to the power of x)?

• A.

243

• B.

81

• C.

64

• D.

27

B. 81
Explanation
When x = 4, 3^x (3 to the power of x) can be calculated by raising 3 to the power of 4. This can be done by multiplying 3 by itself 4 times. Therefore, 3^4 equals 81.

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• 13.

### What kind of slope does y = 4 have?

• A.

Positive

• B.

Undefined

• C.

Negative

• D.

Zero

D. Zero
Explanation
The equation y = 4 represents a horizontal line that is parallel to the x-axis. Since the slope of a horizontal line is always zero, the correct answer is zero.

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• 14.

### What is the y-intercept of 4x + 2y = -8?

• A.

(0, 4)

• B.

(-2, 0)

• C.

(2, 0)

• D.

(0, -4)

D. (0, -4)
Explanation
The y-intercept is the point where the graph of a function crosses the y-axis. To find the y-intercept of the equation 4x + 2y = -8, we set x = 0 and solve for y. When x = 0, the equation becomes 2y = -8, which gives us y = -4. Therefore, the y-intercept is (0, -4).

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• 15.

### What is the midpoint of the line segment with endpoints at (-1, 1) and (7, -3)?

• A.

(1,-3)

• B.

(3, -1)

• C.

(6,3)

• D.

(5,1)

B. (3, -1)
Explanation
The midpoint of a line segment is the point that is equidistant from both endpoints. To find the midpoint, we average the x-coordinates and the y-coordinates of the endpoints. In this case, the x-coordinate of the midpoint is (-1 + 7)/2 = 3 and the y-coordinate is (1 + -3)/2 = -1. Therefore, the midpoint of the line segment with endpoints at (-1, 1) and (7, -3) is (3, -1).

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• Current Version
• Mar 22, 2023
Quiz Edited by
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• May 15, 2015
Quiz Created by
AndyBeckhum

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