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Solving Quadratic Equations with the Quadratic Formula

Authored by Carrie Johnson

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

Solving Quadratic Equations with the Quadratic Formula
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17 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify a, b and c in the quadratic equation: 2x23x5=02x^2-3x-5=0   

a = 2 , b = 3, c = -5

a = 2, b = -3, c = 5

a = 2, b = -3, c = -5

a = -2, b = 3, c = 5

Tags

CCSS.HSA.REI.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solutions of a quadratic equation are also called

roots

x-intercepts

zeros

All of the above

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The first step in solving quadratic equations is to . . .

factor

write the equation in standard form

use quadratic formula

complete the square

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are quadratic equations set equal to zero?

Because zero is an easy number to work with.

Because we are trying to find the x-intercepts and that happens when y=0.

Because setting it equal to zero helps us find the y-intercepts.

None of the above

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve using the Quadratic Formula:
 5x2+3x1=05x^2+3x-1=0 

 x=3±295x=\frac{3\pm\sqrt{29}}{5}  

 x=85 or x=25x=\frac{8}{5}\ or\ x=-\frac{2}{5}  

 x=3±2910x=\frac{-3\pm\sqrt{29}}{10}  

No real solutions

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When does a quadratic equation have no real solutions?

When you cannot factor it

When it begins with a negative leading coefficient

When there is a square root of a negative number

When it only has two terms

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

7.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Check all of the following situations where you could use the Quadratic Formula to solve an equation.

When its highest exponent (degree) is 1

When its highest exponent (degree) is 2

When its highest exponent (degree) is 3

When you cannot factor the quadratic

Tags

CCSS.HSA-REI.B.4B

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