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Solve Quadratic Equations by Factoring

Authored by Russell Baskin

Mathematics

8th - 12th Grade

CCSS covered

Used 697+ times

Solve Quadratic Equations by Factoring
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

You are given the factored equation  (x+8)(x−2)=0\left(x+8\right)\left(x-2\right)=0  . What is the next step to solve for x.

Set  x+8=0x+8=0  and x−2=0x-2=0  

Nothing the solution is  x=8x=8  and  x=−2x=-2  

Multiply  (x+8)(x−2)\left(x+8\right)\left(x-2\right)  

Choose  x+8x+8  or  x−2x-2  and write a musical about them

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve  (x+2)(x−11)=0\left(x+2\right)\left(x-11\right)=0  for x.

 x=−2x=-2  or  x=−11x=-11  

 x=2x=2  or  x=−11x=-11  

 x=2x=2  or  x=11x=11  

 x=−2x=-2  or  x=11x=11  

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve  (3x−7)(2x−8)=0\left(3x-7\right)\left(2x-8\right)=0  for x

 x=−73x=-\frac{7}{3}  or  x=4x=4  

 x=-\frac{7}{3}  or  x=−4x=-4  

 x=73x=\frac{7}{3}  or  x=4  

 x=73x=\frac{7}{3}  or  x=−4x=-4  

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by factoring:  x2−9x+20=0x^2-9x+20=0  What does the factoring step look like?

 (x−4)(x+5)=0\left(x-4\right)\left(x+5\right)=0  

 (x+20)(x−9)=0\left(x+20\right)\left(x-9\right)=0  

 (x−4)(x−5)=0\left(x-4\right)\left(x-5\right)=0  

 (x+4)(x+5)=0\left(x+4\right)\left(x+5\right)=0  

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by factoring:  x2−9x+20=0x^2-9x+20=0  

x = - 4 and x = - 5

x = 20 and x = - 9

x = 4 and x = 5

x = - 4 and x = 5

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by factoring 
 x2+12x+35=0x^2+12x+35=0  

x = - 5 or x = - 7

x = 5 or x = 7

x = - 35 or x = - 1

x = - 9 or x = - 4

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What should you do first in solving this equation?
x2 + 6x - 13 = 3

Get factored form
Find two numbers which add to make 6 and multiply to make -13
Make it equal 0 by subtracting 3 on each side
Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

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