In a small town, a gardener named Abigail is trying to determine the shape of a flower bed she wants to create. She knows that the area of the flower bed can be represented by a quadratic equation. Which of the following equations could represent the area of the flower bed?
Mathematics 9 - Diagnostic Test

Quiz
•
Mathematics
•
9th Grade
•
Hard

Anonymous Anonymous
Used 3+ times
FREE Resource
23 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x³ + 2x = 0
x² + 3x – 5 = 0
2x + 1 = 0
5x – 3 = 7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Sophia is studying different types of equations in her math class. She learns that one specific type of equation has a unique characteristic. What makes an equation quadratic?
The variable is in the denominator
The highest exponent of the variable is 2
The equation contains only integers
The equation is factorable
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a small town, a gardener is trying to design a parabolic garden bed. He knows that the shape of the garden bed can be represented by a quadratic equation. Which of the following equations does NOT represent a standard form of a quadratic equation?
ax² + bx + c = 0
x² = 4x + 5
x² + 6 = 3x
1/x + 2 = 3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Noah is trying to find the length of a side of a square garden. He knows that the area of the garden is 25 square meters. To find the length of one side, he uses the equation x² = 25. What are the possible lengths of one side of the garden?
±5
5 only
±25
No solution
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Ava has a rectangular garden area represented by the equation x² - 5x + 6 = 0. She wants to find the dimensions of the garden by factoring the equation. What are the possible lengths of the sides of her garden?
2 and 3
-2 and -3
5 and 6
-5 and -6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Arjun is trying to find the length of a side of a square garden, and he knows that the area of the garden is 10 square meters. What is the first step in solving the equation x² - 10 = 0 to find the length of the side using square roots?
Add 10 to both sides
Factor the equation
Take the square root of 10
Subtract 10 from both sides
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Elijah is trying to find the dimensions of a rectangular garden. The area of the garden can be represented by the equation x² + 2x - 35 = 0, where x represents one dimension of the garden. Which of the following equations is best solved using factoring?
x² + 2x - 35 = 0
x² - 7x + 1 = 0
2x² + 5 = 0
x² = 4x - 7
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