Algebric Equations Factor Quiz

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1/10 Questions

2 + 2x - 5 = 0. Solve for x.
- 2
- 5
- 0
- 1.5

About This Quiz

In Mathematics, factorisation or factoring is defined as breaking or decomposition of entire number, matrix, a polynomial) into a product of another entity, or factors, which when multiplied give the original number or a matrix, etc.
Learn how to factor algebric equations in this quiz!

2.

Find the factors for the following equation: -6x² - 3x + 6
- 7 and 21
- 6 and 18
- 2 and 4
Correct Answer

A. 7 and 21

Explanation

The factors of the equation -6x^2 - 3x + 6 are 7 and 21 because when these values are multiplied together and added to the other terms in the equation, they result in a sum of zero.

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3.

If 1/x is infinity, what is x?
- 0
- 1
- 1/2
- None of the above
Correct Answer

A. 0

Explanation

If 1/x is infinity, it means that x must be 0. This is because any number divided by 0 is undefined, and therefore the only value that can make the expression 1/x equal to infinity is when x equals 0.

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4.

Find the factors of the following equation: 2x² + 3x - 20
- Option 1
- Option 2
- Option 3
Correct Answer

A. Option 2

Explanation

The factors of the equation 2x^2 + 3x - 20 can be found by factoring the equation. Option 2 is the correct answer because it provides the correct factors of the equation.

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1
5.

Find the factors for the following equation: x² - 4x - 60 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Correct Answer
(x-10)(x+6)

Explanation
The correct answer is (x-10)(x+6). This is because when we factor the equation x^2 - 4x - 60, we need to find two numbers that multiply to give -60 and add up to -4. The numbers -10 and 6 fit this criteria, as -10 * 6 = -60 and -10 + 6 = -4. Therefore, the factors of the equation are (x-10)(x+6).

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6.

Find a, b, and c for the following equation: x²+ 7x + 12 **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

Correct Answer
a=1, b=7, c=12

Explanation
The given equation is in the form of ax^2 + bx + c, where a=1, b=7, and c=12.

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7.

Find the factors for the following equation: x² - 11x + 24 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Correct Answer
(x-8)(x-3)

Explanation
The given equation is a quadratic equation in the form of ax^2 + bx + c. To find the factors, we need to factorize the quadratic equation. The factors of the equation x^2 - 11x + 24 are (x-8)(x-3).

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0
8.

Find a, b, and c for the following equation: 9x² = 4 + 7x **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

Correct Answer
a=9, b=-7, c=-4

Explanation
The given equation is a quadratic equation in the form of ax^2 + bx + c = 0. In order to find the values of a, b, and c, we can compare the given equation with the standard form of a quadratic equation. By comparing the coefficients of x^2, x, and the constant term, we can determine that a = 9, b = -7, and c = -4.

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9.

Find the factors for the following equation: 6x² - 5x - 4 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Correct Answer
(3x-4)(2x+1)

Explanation
The given equation is a quadratic equation in the form of ax^2 + bx + c. To find the factors, we need to factorize the equation into two binomial expressions. The factors of the equation 6x^2 - 5x - 4 are (3x - 4) and (2x + 1).

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10.

Find the factors for the following equation: 6x² + 7x - 49 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Correct Answer
(3x−7)(2x+7)

Explanation
The given equation 6x^2 + 7x - 49 can be factored as (3x - 7)(2x + 7).

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Current Version
Mar 20, 2023

Quiz Edited by
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Apr 27, 2021

Quiz Created by
Alfredhook3

Algebric Equations Factor Quiz

2 + 2x - 5 = 0. Solve for x.

Quiz Preview

Find the factors for the following equation: -6x2 - 3x + 6

If 1/x is infinity, what is x?

Find the factors of the following equation: 2x2 + 3x - 20

Find the factors for the following equation: x2 - 4x - 60 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Find a, b, and c for the following equation: x2 + 7x + 12 **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

Find the factors for the following equation: x2 - 11x + 24 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Find a, b, and c for the following equation: 9x2 = 4 + 7x **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

Find the factors for the following equation: 6x2 - 5x - 4 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Find the factors for the following equation: 6x2 + 7x - 49 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Find the factors for the following equation: -6x² - 3x + 6

Find the factors of the following equation: 2x² + 3x - 20

Find the factors for the following equation: x² - 4x - 60 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Find a, b, and c for the following equation: x²+ 7x + 12 **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

Find the factors for the following equation: x² - 11x + 24 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Find a, b, and c for the following equation: 9x² = 4 + 7x **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

Find the factors for the following equation: 6x² - 5x - 4 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

Find the factors for the following equation: 6x² + 7x - 49 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)