Factoring Expressions And Solving Quadratic Equations (Me3e Quiz 1)

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| By Jrivers

Jrivers

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Quizzes Created: 2 | Total Attempts: 526

| Attempts: 289

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1/10 Questions

Factor the trinomial

Factoring Expressions And Solving Quadratic Equations (Me3e Quiz 1) - Quiz

About This Quiz

This quiz, titled 'Factoring Expressions and Solving Quadratic Equations (ME3E Quiz 1)', assesses the ability to factor expressions and solve quadratic equations. It includes questions on factoring trinomials, identifying correct factorizations, and solving quadratic equations by factoring, with a focus on using the greatest common factor (GCF).

2.

Factor the following (be careful with signs!)

Explanation
This is an example of difference of perfect squares where y2 and 49 are both perfect squares.

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3.

TRUE or FALSE The following expression: 3x - 30 is factored correctly as: (x - 10)
- True
- False
Correct Answer

A. False

Explanation

The given expression, 3x - 30, can be factored as 3(x - 10), not as (x - 10). Therefore, the correct answer is False.

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4.

Use the PAYBACK METHOD to factor the following quadratic equation.
- (3x+6)(3x+4)
- (x+2)(x+4)
- (x+6)(x+4)
- (3x+4)(x+2)
Correct Answer

A. (3x+4)(x+2)

Explanation

The given quadratic equation can be factored using the Payback Method. The Payback Method involves finding the common factors between the terms in the equation and factoring them out. In this case, the common factor between the terms is (3x+4). By factoring out (3x+4) from both terms, we are left with (3x+4)(x+2), which is the correct answer.

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5.

Solve and check. Express your answer in set notation { , }

Correct Answer
{-11, 11}
{11, -11}
11, -11
-11, 11

Explanation
The correct answer is {-11, 11},{11, -11}. The answer is in set notation and includes the values -11 and 11, with both possible orders of the numbers. The answer also includes the individual values 11 and -11, but these are not in set notation.

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6.

Solve the following quadratic equation and choose your answer below
- {-6, -3}
- {-6}
- {3, 6}
- {-3, 6}
Correct Answer

A. {-6, -3}

Explanation

Trinomial factoring

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7.

Solve the following quadratic equation by factoring (HINT: USE GCF)
- {-2/3}
- {-2/3, 0}
- {0}
- {0,3/2}
Correct Answer

A. {-2/3}

Explanation

Factoring by gcf where gcf is just "x"

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8.

CHECK ALL THAT APPLY Which are factored correctly?
Correct Answer(s)

A.
A.
9.

Define each term in your own words! a) quadratic equation b) set notation
10.

In order, write down the four steps for solving a quadratic equation.