What is a Quadratic equation?

What is a Quadratic equation?

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•

Mathematics

•

6th - 10th Grade

•

Medium

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21 Slides • 18 Questions

1

What is a Quadratic equation?

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2

What is an equation?

A statement that asserts the equality of two expressions

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3

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4

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5

Multiple Select

Which of the following are expressions?

1

4xy + 7

2

x + y + z

3

x² – 2x = 1

4

x = 1, y = 2

5

x² – 2yx + y² = 7

6

Multiple Select

Which of the following are equations

1

(a+b)(a-b)

2

x² – 2yx + y²

3

(a+b)(a-b) = 9

4

he = π x g

5

E = mc²

7

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8

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9

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10

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11

Multiple Choice

How many terms are in the expression

11x² − 15y² − 19x + 18y

1

1

2

2

3

4

4

0

12

Multiple Choice

Is 11x a term in the equation

11x² − 15y² − 19x + 18y

1

yes

2

no

13

Multiple Select

what are the terms in the expression

14x²- 3y ?

1

14x

2

14x²

3

3y

4

-3y

14

Multiple Choice

Identify the coefficient of g² term in the expression:

7f + 8g + 11g² – 12h

1

8

2

-11

3

64

4

11

15

Multiple Choice

Identify the constant term in the expression:

5x + 7y + 8z + 9

1

5

2

7

3

8

4

9

16

Degree of a term

The degree of a term is the sum of the exponents of the variables that appear in it

Degree of a term with one variable is the exponent (or power) on the variable.

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17

Degree of a term

Degree of a term with more than one variable is the sum of the exponent (or power) on the variables.

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18

Degree of an expression

the degree of an expression is the highest power appearing in any one term

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19

Degree of an expression

the degree of an expression is the highest power appearing in any one term

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20

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21

Multiple Choice

Identify the highest degree/order of the expression:

10x + 5x² − 6y + 7

1

0

2

1

3

2

4

-1

22

Multiple Choice

Identify the degree of the expression:

5x² + 8y³ + 3x + 9y −5y²

1

1

2

2

3

3

4

8y³

23

Multiple Choice

Identify the degree of the expression:

7a² + 3b³ + 5b³ + 6a² − 8a²

1

3

2

6

3

4

4

2

24

Multiple Choice

What degree does the expression

x³ - x²y² - 8y²+ 2 have?

1

1

2

2

3

3

4

4

25

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26

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27

What is the degree of this expression

(x-9)(x-8)(x+4)

28

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29

What is the degree of this expression

(x-9)(x-8)(x+4) = x³- 13x²+ 4x + 288

Highest power for the variable is 3

Degree of the expression is 3.

30

What is the degree of (a - b)³?

(a - b)³ = a³ -b³ - 3a²b +3ab²

^{Degree is 3}

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31

Multiple Choice

What is the degree of the polynomial?

ab²+a²b³−a³b¹

1

2

2

3

3

4

4

5

32

Multiple Choice

What is the degree of the polynomial?

3x(4 - x) + (2x - 5)²

1

2

2

3

3

4

4

5

33

Multiple Choice

What is the degree of the polynomial?

(x + 1)(x - 1)(x - 3)

1

2

2

3

3

4

4

5

34

Multiple Choice

What is the degree of the polynomial?

(x² - 2x + 3)²

1

2

2

3

3

4

4

5

35

What is a quadratic equation?

Algebraic equations of degree 2

ax^2+bx+c=0

any equation that can be rearranged in this standard form is a quadratic equation.

36

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37

Multiple Choice

Which of the following is not a quadratic equation

1

x² + 3x – 5 = 0

2

x² + x³ + 2 = 0

3

3 + x + x² = 0

4

x² – 9 = 0

38

Multiple Choice

The polynomial equation

x (x + 1) + 8 = (x + 2) (x – 2) is

1

linear equation

2

quadratic equation

3

cubic equation

4

Quartic equation

39

Multiple Choice

The equation

(x – 2)² + 1 = 2x – 3 is a

1

linear equation

2

quadratic equation

3

cubic equation

4

Quartic equation

pattern-tertiary

What is a Quadratic equation?

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