WorksheetsMathematics 9 Q1
Total questions: 35
Worksheet time: 53mins
Determine whether the following equation is Quadratic or Not.
5x2 + 3x = 7.
QUADRATIC
LINEAR
CONSTANT
INEQUALITY
Write Quadratic or Not Quadratic only.
x2 + x + 7 = 3
(a)
Given x2 + x + 1= 0, if the value of a is 0,
would the equation still be quadratic?
YES
NO
Given x2 + x + 1= 0, if the value of b is 0, would the equation still be quadratic?
YES
NO
Given x2 + x + 1= 0, if the value of c is 0,
would the equation still be quadratic?
YES
NO
What is a in the quadratic equation x2 + 3x + 2 = 0?
1
3
2
0
What is c in the quadratic equation 5x2 + 3x = 6?
5
-5
6
-6
What is b in the quadratic equation 2x2 + 8x + -5 = 0?
2
8
-5
0
Which of the following is the standard form of the quadratic equation?
ax3 + bx + c = 0
ax2 + bx + c = 0
ax3 + bx2 + c = 0
ax + bx + c = 0
It is a polynomial equation of degree two that can be written in the form
ax2 + bx + c = 0, and c are real numbers and c ≠ 0.
Linear Equation
Linear Inequality
Quadratic Equation
Quadratic Inequality
Which of the following is a quadratic equation?
4x3 + x2=0
1 - 4x = 0
4x – 3 = 0
4x2 + 3 = 0
What are the roots of the quadratic equation x2 – 5x -24 = 0?
3, 8
-3, 8
-3, -8
3, -8
What value of c will make the trinomial x2 -20x + c a perfect square?
25
100
40
400
What are the factors of the equation x2 -8 x + 15?
(x-5) (x+3)
(x+5) (x + 3)
(x-5) (x-3 )
(x+5) (x+3)
What is the name of your teacher in Mathematics (FIRST NAME_MI._LAST NAME)?
(a)
Which of the following is the graph of a quadratic function?
A. A straight line
A V-shaped curve
A U-shaped curve (parabola)
A zigzag line
Which of the following is a quadratic function?
f(x)=3x+5
f(x)=2x2−4x+1
f(x)=4x−7
f(x)=x3−2x+3
What is the vertex of the quadratic function y=2x2−8x+3?
(2, 7)
(2, 3)
(4, 3)
(2, -5)
For the quadratic function y=−x2+4x+1, what is the axis of symmetry?
x=2
x=−2
x=1
x=4
For the quadratic function y=−3(x+1)2+2,
which of the following describes the direction in which the parabola opens?
The parabola opens upward
The parabola opens downward
The parabola opens to the left
The parabola opens to the right
Solve the quadratic equation:x² - 5x + 6 = 0.
x = -2, -3
x = 2, 3
x = -1, -6
x = 1, 6
What makes the equation 2x2+4x−6=0 a quadratic equation?
It has a variable raised to the power of 1
It is written in slope-intercept form
The highest exponent of the variable is 2
It has more than one solution
Which real-life situation can be modeled by a quadratic equation?
The total cost of buying pencils at a fixed price
The height of a ball thrown upward over time
The relationship between distance and time at constant speed
The number of candies distributed equally among friends
Solve the equation:x² = 49
x = 49
x = 7
x = ±7
x = ±49
Solve the equation:x² + 6x + 5 = 0
x = 3, 1
x = 1, 5
x = -1, -5
x= -3, -1
What is the formula for the discriminant of a quadratic equation in the form ax² + bx + c = 0?
b² - 4ac
b² + 4ac
(b - 4a)c
(b² - c) / 4a
If the discriminant of a quadratic equation is less than 0, what can you say about the roots?
Two real and equal roots
Two real and distinct roots
No real roots
One real root
Given the equation x² - 6x + 9 = 0, what is the nature of its roots based on the discriminant?
Two real and distinct roots
No real roots
Two complex roots
Two real and equal roots
In the quadratic equation ax² + bx + c = 0, what is the formula for the sum of the roots?
-b/a
b/a
-c/a
c/b
In the quadratic equation ax² + bx + c = 0,
what is the formula for the product of the roots?
c/a
b/c
-b/a
-c/a
Which of the following equations can be transformed into a quadratic equation?
x + 4 = 7
2x = 5
(x + 2)(x - 3) = 7
x² + 1/x = 5
Which of the following is the correct first step in solving the equation 1/x + 2 = x?
Multiply both sides by x
Add 2 to both sides
Divide both sides by x
Subtract 1/x from both sides
What is the resulting quadratic equation when you solve (2/x) + 3 = x?
2 + 3x = x²
2 + 3x = x
2 + 3x² = x
x² - 3x - 2 = 0
Which of the following is a quadratic equation?
x + 5 = 0
2x² + 3x - 7 = 0
x³ - 4x = 0
1/x + 2 = 0
Which of the following is a quadratic inequality?
x² - 4 = 0
2x + 1 > 0
x² - 5x + 6 < 0
x³ - 2x ≤ 0
