Grade 9 Algebra Quiz Questions And Answers
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Hey, if you're looking for some new and unique algebra quiz questions and answers for grade 9th students, you've come to the right place. The below quiz is designed to test your understanding of the topics covered. Algebra is considered the most challenging subject by most people in grade nine, but this is essentially not true as all that one needs to understand to practice after covering every topic. Do you need some help with Algebra? Start by taking this quiz and watch out. Good luck!
Questions and Answers
- 1.
The sum of 2 numbers is 46. One number is 12 more than the other. What are the numbers?
- A.
12, 19
- B.
17, 29
- C.
32, 6
- D.
18, 30
Correct Answer
B. 17, 29Explanation
Let's assume the smaller number as x. According to the given information, the larger number is 12 more than the smaller number, so it can be represented as x + 12. The sum of the two numbers is 46, so we can set up the equation x + (x + 12) = 46. Simplifying this equation, we get 2x + 12 = 46. By subtracting 12 from both sides and dividing by 2, we find that x = 17. Therefore, the smaller number is 17 and the larger number is 17 + 12 = 29.Rate this question:
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- 2.
Evaluate this equation for the given value of a and b. a2 + b2 , for a = 2 and b = 2
- A.
6
- B.
8
- C.
18
- D.
20
Correct Answer
B. 8Explanation
The equation a^2 + b^2 can be evaluated by substituting the given values of a and b, which are both 2. Therefore, the equation becomes 2^2 + 2^2 = 4 + 4 = 8.Rate this question:
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- 3.
The sum of 3 consecutive whole numbers is 108. What are the numbers?
- A.
34, 35, 36
- B.
33, 34, 35
- C.
35, 36, 37
- D.
31, 32, 33
Correct Answer
C. 35, 36, 37Explanation
Let's denote the three consecutive whole numbers as n, n+1, and n+2. The sum of these three numbers is given as 108. We can set up an equation and solve for n:
n+(n+1)+(n+2)=108
Combine like terms:
3n+3=108
Subtract 3 from both sides:
3n=105
Divide by 3:
n=35
So, the three consecutive whole numbers are 35, 36, and 37.Rate this question:
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- 4.
Jack is 5 years older than Mary. In four years the sum of their age is 33 years old. What are their ages?
- A.
Mary is 10 years old, Jack is 15 years old
- B.
Mary is 9 years old, Jack is 19 years old
- C.
Mary is 12 years old, Jack is 17 years old
- D.
Mary is 8 years old, Jack is 19 years old
Correct Answer
A. Mary is 10 years old, Jack is 15 years oldExplanation
Mary is 10 years old and Jack is 15 years old because if Jack is 5 years older than Mary, and the sum of their ages in four years is 33, then Mary's age in four years would be x+4 and Jack's age in four years would be (x+5)+4. Setting up the equation (x+4) + ((x+5)+4) = 33 and solving for x, we find that x = 6. Therefore, Mary is currently 10 years old and Jack is currently 15 years old.Rate this question:
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- 5.
A basketball court is a rectangle with dimensions 29m by 16m. What is the length of a diagonal to the nearest meter?
- A.
Approximately 29
- B.
Approximately 30
- C.
Approximately 33
- D.
Approximately 32
Correct Answer
C. Approximately 33Explanation
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the lengths of the other two sides. In this case, the length and width of the rectangle are the other two sides, and the diagonal is the hypotenuse. So, for a rectangle with dimensions 29 meters by 16 meters:
Diagonal^2 = Length^2 + Width^2 Diagonal^2 = 29^2 + 16^2 Diagonal^2 = 841 + 256 Diagonal^2 = 1097
Now, to find the length of the diagonal, take the square root of 1097:
Diagonal = √1097 ≈ 33.11 metersRate this question:
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- 6.
Large pizzas cost $12.50 and small pizzas cost $9.00. The pizza parlor sold 38 pizzas with a total value of $415.50. How many of each type did the pizza parlor sell?
- A.
20 large, 17 small
- B.
22 large, 18 small
- C.
21 large, 17 small
- D.
23 large, 18 small
Correct Answer
C. 21 large, 17 smallExplanation
Let's assume that x represents the number of large pizzas and y represents the number of small pizzas. The cost of each large pizza is $12.50, so the total cost of x large pizzas would be 12.50x. Similarly, the cost of each small pizza is $9.00, so the total cost of y small pizzas would be 9.00y. The total value of all the pizzas sold is $415.50, so we can write the equation 12.50x + 9.00y = 415.50. We also know that the pizza parlor sold a total of 38 pizzas, so we can write the equation x + y = 38. Solving these two equations simultaneously, we find that x = 21 and y = 17. Therefore, the pizza parlor sold 21 large pizzas and 17 small pizzas.Rate this question:
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- 7.
Find the value of x in this equation: (x - 4) / (- 6) = 3
- A.
-14
- B.
-10
- C.
-24
- D.
14
Correct Answer
A. -14Explanation
To find the value of x in the equation, we can start by multiplying both sides of the equation by -6 to eliminate the denominator. This gives us (x - 4) = -18. Then, we can isolate x by adding 4 to both sides of the equation, which results in x = -14. Therefore, the correct answer is -14.Rate this question:
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- 8.
Simplify this equation: (-5x - 10) / (x + 2)
- A.
5
- B.
-5
- C.
-15
- D.
10
Correct Answer
B. -5Explanation
The correct answer is -5. To simplify the equation, we can divide both the numerator and the denominator by -1 to get (5x + 10) / (-x - 2). Then, we can factor out a 5 from the numerator to get 5(x + 2) / (-x - 2). Finally, we can cancel out the common factor of (x + 2) and simplify the expression to -5.Rate this question:
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- 9.
What are the x and y intercepts of the line 2x−3y+6=0?
- A.
3, 2
- B.
2, 3
- C.
3, -2
- D.
-3, 2
Correct Answer
D. -3, 2Explanation
The x-intercept is the point where the line intersects the x-axis, and the y-intercept is the point where the line intersects the y-axis. To find the x-intercept, we set y=0 in the equation and solve for x. Similarly, to find the y-intercept, we set x=0 in the equation and solve for y. In the given equation, when y=0, we get 2x+6=0, which gives x=-3. So the x-intercept is -3. When x=0, we get -3y+6=0, which gives y=2. So the y-intercept is 2. Therefore, the correct answer is -3, 2.Rate this question:
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- 10.
What will be the slope of the line with equation y - 4 = 10?
- A.
5
- B.
4
- C.
8
- D.
0
Correct Answer
D. 0Explanation
The equation given, y - 4 = 10, can be rewritten as y = 14. This equation represents a horizontal line parallel to the x-axis, where the y-coordinate is always 14. The slope of a horizontal line is always 0, as there is no change in the y-coordinate for any change in the x-coordinate. Therefore, the slope of the given line is 0.Rate this question:
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Apr 01, 2024Quiz Edited by
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Dec 14, 2010Quiz Created by
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