Free Printable Solving Quadratics, Discriminant, A.R.O.C for Quads, Even/Odd

Worksheets

Solving Quadratics, Discriminant, A.R.O.C for Quads, Even/Odd

Total questions: 36

Worksheet time: 55mins

Name

Class

Date

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

1 Real Solution

2 Real Solutions

Half a Solution

No Real Solution

What are the solutions of this graph?

-2 and 3

-1/2 and -6

-2 and -6

3 and -6

How many zeros does this parabola have?

Which of the following is not the same as "solution"?

x-intercept

roots

zeros

y-intercept

Find the zeros of this quadratic.

b=4/5, b=3

b=4, b=-3

b=1/5, b=3

b=4/5, b=-3

Find the zeros of the equation:
(x+10)(x-2) = 0

10 and 2

-2 and 10

-10 and 2

-2 and -10

Solve the equation: x² - 2x - 48=0

x = 8, x = 6

x = 8, x = -6

x = -8, x = 6

x = -8, x = -6

No Real Solutions

Solve the equation: x² - 5x - 24 = 0

x = 6, x = -4

x = 8, x = -3

x = 12, x = -2

x = 24, x = -1

No Real Solutions

10.

11.

12.

How many zeros does this parabola have?

13.

Find the zero(s) from the table.

(0, 8) and (3, -1)

(0, 8) only

(3, -1) only

(2, 0) and (4, 0)

14.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

15.

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

x = -3 ± √7

x = 3 ± √7

x = 7 ± √3

x = -7 ± √3

16.

k² = 225

±15

±112.5

±50625

±16

17.

-2x²= -98

-7

±7

±49

18.

Solve using square roots.
5b² - 4 = 41

b = 9, b = -9

b = 3, b = -3

b = 8, b = -8

no solution

19.

Solve using square roots.

±72

±12

No real solution

20.

21.

Solve for x:
(x+6)²=49

x=7,12

x=±7

x=1,-13

x=43,-55

22.

What is the formula for ARC?

y₂-y₁ / x₂-x₁

x₂-x₁ / y₂-y₁

23.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) from f(-3) and f (-2)?

1/2

-2

-1/2

24.

f(x) = -x² + 6x - 8
What is the average rate of change of f(x) from f(2) to f(3)

1/2

-1

-1/2

25.

26.

27.

Is the graph even, odd, both or neither?

f(x) = 4x

Even

Odd

Neither

Both

28.

Is the graph even, odd, both, or neither?

f(x) = x² + 2

Even

Odd

Neither

Both

29.

Is the graph even, odd, both, or neither?

Even

Odd

Neither

Both

30.

Is the graph even, odd, both, or neither?

Even

Odd

Neither

Both

31.

Even, odd, both, or neither?

Even

Odd

Neither

Both

32.

Is f(x) = x³– x² even, odd, both, or neither?

even

odd

neither

both

33.

Which one of the following functions is odd?

f(x) = 3x⁴ – 4x³

g(x) = 5x⁴ + 3x²

h(x) = 6x⁵ – x³

k(x) = x⁶ + 8x²

34.

Is the graph even, odd, both, or neither?

Even

Odd

Neither

Both

35.

Is the graph even, odd, both, or neither?

Even

Odd

Neither

Both

36.

Is the graph even, odd, both, or neither?

Even

Odd

Neither

Both

100 %

Solving Quadratics, Discriminant, A.R.O.C for Quads, Even/Odd

Total questions: 36

Worksheet time: 55mins

Similar Resources on Wayground