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Quadratic Equations

Authored by LYLE DODD

Mathematics

10th Grade

CCSS covered

Used 130+ times

Quadratic Equations
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11 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

2 mins • 3 pts

Select all equations that have two solutions.

x2=16x^2=16

4x2=04x^2=0

x2=−16x^2=-16

x2−1=24x^2-1=24

(x+8)(x−8)=0\left(x+8\right)\left(x-8\right)=0

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

2 mins • 2 pts

Media Image

Here is a graph of the equation y=x2+4x+5y=x^2+4x+5 .

Which statement is true about the solutions to the equation x2+4x+5=0x^2+4x+5=0 ?

The equation has no solutions.

The equation has one solution: 5.

The equation has two solutions: -2 and 0.

The equation has infinitely many solutions.

3.

MATH RESPONSE QUESTION

2 mins • 2 pts

You are writing a perfect square trinomial. What is the correct value for b in the expression: x2+bx+36x^2+bx+36 ?

1212

Mathematical Equivalence

ON

4.

MATCH QUESTION

2 mins • 4 pts

Match the following standard form equation with its factored form.

(x+30)(x-30)

t2−3t+10t^2-3t+10

(p+20)(p-2)

x2−900x^2-900

No Real factors

x2+9x^2+9

(t-5)(t+2)

p2+18p−40p^2+18p-40

Tags

CCSS.HSA.APR.C.4

5.

MATCH QUESTION

2 mins • 4 pts

Match the following equations with their solutions.

x=-8, x=-5

(x−8)(2x+5)=0\left(x-8\right)\left(2x+5\right)=0

x=14, x=-14

x2+13x+40=0x^2+13x+40=0

x= 8, x=-5/2

x2−196=0x^2-196=0

x=9, x=-3

x2−6x−20=7x^2-6x-20=7

Tags

CCSS.HSA-REI.B.4B

6.

MATH RESPONSE QUESTION

2 mins • 2 pts

Find the discriminate of the following quadratic equation: 4x2−5x−6=04x^2-5x-6=0

25−4(4)(−6)25-4\left(4\right)\left(-6\right)

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B

7.

LABELING QUESTION

2 mins • 7 pts

Label the sets in the Complex number set table.

a
b
c
d
e
f
g
Rational Numbers
Integers
Whole Numbers
Irrational
Real Numbers
Imaginary
Counting

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