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Worksheets222 MATH 9 1ST QUARTER
Total questions: 24
Worksheet time: 13mins
What do you call a second-degree polynomial equation that can be written in the form 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0, where a, b and c are real numbers and 𝑎 ≠ 0?
Linear Equation
B. Linear Inequality
Quadratic Equation
Quadratic Inequality
Which of the following quadratic equations is equivalent to 𝑥² + 9𝑥 = −8
(x + 1) (x + 8) = 0
. (x – 1) (x + 8) = 0
(x -1) (x – 8) = 0
(x+ 1) (x - 8) = 0
When the quadratic equation (2𝑥 + 5) (𝑥 − 1) = −6 is written in standard form, what are the values of a, b, and c?
𝑎 = −2, 𝑏 = 3, 𝑐 = 1
𝑎 = 2, 𝑏 = 3, 𝑐 = 1
𝑎 = 2, 𝑏 = −3, 𝑐 = 1
𝑎 = −2, 𝑏 = −3, 𝑐 = 1
.Which situations illustrates quadratic equation?
The length of a rectangular board is 3m longer than its width and its perimeter is 25m.
Joey paid at least ₱2,000 for the shirt and pants. The cost of pants is ₱700 more than the shirt.
A garden’s length is 7m longer that its width and the area is 18 square meters.
A lot cost ₱4,000 per square meter and the area is 120 square meters.
How do you describe (the signs) of the square root of a positive real number?
positive & positive
. negative & negative
positive & negative
none of them
Applying the method of extracting the square roots, solve for b in 4𝑏² – 9 = 71.
𝑏 = ±2√5
𝑏 = ±3√5
𝑏 = ±5√2
𝑏 = ±5√3
Find the solution set of the equation 2𝑥² – 32 = 0.
{2, 4}
−4, 4}
{2, −4}
−1, 3}
The factored form of 𝑥² – 25 is _________.
(𝑥 − 5) (𝑥 − 5)
(𝑥 − 5) (𝑥 + 5)
(𝑥 + 5) (𝑥 + 5)
(𝑥 + 1) (𝑥 − 5)
Which of the following is the GCF of 4𝑥² and 12𝑥?
3X
2X
4X
5X
If 𝑥𝑦 = 0, then 𝑥 = 0 or 𝑦 = 0 where both x and y are real numbers is called ___________.
square root properly
addition property
zero product property
multiplication property
Which of the following will make the expression 𝑥² + 6𝑥 + (a) a perfect square trinomial?
Which of the following is a perfect square trinomial
𝑥² – 2𝑥 + 1
𝑥² – 4𝑥 + 6
𝑥² – 4
𝑥² + 9
If the roots of 2𝑥² = − 3(𝑥 + 2) is solve using quadratic formula, what is the first thing to consider?
Identify the value of 𝑎, 𝑏, and 𝑐.
Rewrite the equation in general form.
Substitute the values of 𝑎, 𝑏, and 𝑐 in the quadratic formula
Divide both sides by a common factor
Which is the correct substitution of the values of a, b and c in the quadratic formula of the equation 2(𝑥² − 2𝑥) = 5?
Given the quadratic equation 𝑎𝑥 + 𝑏𝑥 + 𝑐 = 0 where 𝑎, 𝑏, 𝑐 are real numbers and 𝑎 ≠ 0, which of the following is the sum of its roots?
a
c
-b/a
c/a
What is the sum of the roots of the quadratic equation 2𝑥 ² + 10𝑥 − 14 = 0 ?
-5
5
7
-7
In the quadratic equation 2𝑥 ² -10x − 14 = 0, which of the following is the product of its roots?
-5
5
7
-7
The roots of a quadratic equation are -9 and 3. Which of the following quadratic equations has these roots?
𝑥² − 9𝑥 + 3 = 0
𝑥²+ 6𝑥 − 27 = 0
. 9𝑥² − 3𝑥 + 27 = 0
3𝑥² − 9𝑥 + 27 = 0
The product of the roots of a quadratic equation is 48. If one of the roots is -16, which of the following could be the equation?
𝑥² − 48 = 0
𝑥² + 16 = 0
𝑥² + 19𝑥 + 48 = 0
. 𝑥² − 19𝑥 + 48 = 0
Which of the following mathematical equations could be transformed to quadratic form?
𝑟 = 0
7𝑣 − 8 = 3𝑣 − 3
4𝑥² − 4𝑥 + 11 = 3𝑥² − 6𝑥 + 𝑥2
Which of the following is the quadratic transformation of the equation:
𝑥²+ 4𝑥 + 1 = 0
𝑥² − 4𝑥 − 1 = 0
𝑥² − 4𝑥 + 1 = 0
𝑥² + 4𝑥 − 1 = 0
What are the solutions of the equation: 3(𝑥 + 3) 2 + 5(𝑥 + 3) − 2 = 0?
-8/3, -5
8/3, 5
8/3, -5
−8/3 , 5
Which of the following are the solutions of 𝑥(𝑥 + 3) − 9 = 0?
The algebraic rational equation (below) is reducible into quadratic form. Which of the following are the solutions of this equation?
3,6
-3,-6
-3,6
3,-6
