Completing the Square and the Quadratic Formula

Completing the Square and the Quadratic Formula

9th - 12th Grade

20 Qs

quiz-placeholder

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Completing the Square and the Quadratic Formula

Completing the Square and the Quadratic Formula

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

Created by

Mary Beloy

Used 1+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True

False

Answer explanation

True because completing the square involves transforming the equation into the form x^2 + bx = c before proceeding with the method.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the 1st step in solving a Quadratic Equation using Completing the Square

Divide b by 2

Square root both sides

Make sure the equation equals 0

Get the terms containing the variables on one side of the equation

Answer explanation

Get the terms containing the variables on one side of the equation.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What do you do to the b value to correctly complete the square?

square it

divide it by 2 and square the result

divide it by 2 and take the square root of the result

divide it by 2 only

Answer explanation

To correctly complete the square, you need to divide the b value by 2 and then square the result. This process helps in simplifying the quadratic expression.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step to solving THIS equation by completing the square?
x2 + 8x + 9 = 0

Set the equation equal to zero

Divide 8 by 2 and add the result to both sides

Add x2 and 8x together

Subtract 9

Answer explanation

Subtract 9

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Answer explanation

The correct choice is (x+4)^2=7 because completing the square involves halving the coefficient of x, squaring it, and adding/subtracting it to both sides of the equation.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Answer explanation

To solve the equation x^2 + 10x = 39, we first rearrange it to x^2 + 10x - 39 = 0. Then, factor or use the quadratic formula to find x = 3 or x = -13.

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Answer explanation

To solve by completing the square, rewrite the equation as (x-6)^2=16. Then, solve for x to get x={2, 10}.

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