Free Printable Review for Fall Final part 2 adv int 2

Worksheets

Review for Fall Final part 2 adv int 2

Total questions: 25

Worksheet time: 6hrs 15mins

Name

Class

Date

Factor out the GCF:
10x³ - 15x

x(10x² - 15)

5x(2x² - 3)

5(2x³ - 3x)

5x²(10x - 3)

Factor
x²+ 9x - 36

(x + 12)(x - 3)

(x + 9)(x - 4)

(x - 12)(x + 3)

(x - 9)(x - 4)

Factor
4n²-17n-15

(n-10)(6n+1)

(4n-5)(n-3)

(n-5)(4n-3)

(n-5)(4n+3)

Factor:

2x² + 3x - 9

2(x + 3)(x - 3)

(2x - 3)²

(x + 3)(2x - 3)

(2x + 3)(x - 3)

Solve: x² - 6x + 5 = 0

-3 and -2

-6 and 1

5 and 1

-1 and -5

$Solve:\ k^2+7k+10=0$

Select ALL solutions

x=5

x=-2

x=10

x=-5

$x^2-x+6=0$ Match the equation with the factored form and the solutions.

(x + 3) (x - 2) = 0

(x - 3) (x + 2) = 0

(x - 6) (x + 1) = 0

x = 3 and x = - 2

x = - 3 and x = 2

Find all the solutions for x when

x²+ 9x - 36 = 0

(x + 12)(x - 3)

x = 12 and x = -3

x = -12 and x = 3

(x - 9)(x - 4)

Graph the quadratic.

10.

Given: y = 2(x - 5)² + 6, the vertex is

(2,-5)

(-5,6)

(2,6)

(5,6)

11.

Which of the following is the correct equation for the given graph?

f(x) = (x - 2)² - 1

f(x) = (x + 2)² - 1

f(x) = -(x + 2)² - 1

f(x) = -(x - 2)² - 1

12.

Which of the following is the correct equation for the given graph?

f(x) = -(x + 2)² - 4

f(x) = -(x - 2)² - 4

f(x) = -3(x - 2)² - 4

f(x) = -3(x + 2)² - 4

13.

What are the coordinates of the vertex?

(a)

14.

Graph the quadratic.

15.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

x = 7/2, x = -6

x = -5/2, x =5

x = -3/7, x =6

x = -5/2, x = 7

16.

Solve using the Quadratic Formula.

Remember to make equal to zero first.

6x²- 52 = 11x

x = 4, -2.17

x = -4, 2.17

x = -3.71, -1.88

x = 3.71, 1.88

17.

Use the quadratic formula to find the solutions for

0 = -x² - 5x + 12

-4.9 and -0.1

-8.54 and 8.54

-0.45 and 3.55

-6.77 and 1.77

18.

What is the quadratic function for the graph in intercept form?

y = (x - 2)(x - 6)

y = - (x - 2)(x - 6)

y = (x + 2)(x + 6)

y = (x + 4)(x - 4)

19.

Which quadratic function is represented by the graph?

y = 2(x - 4)² + 5

y = 2(x + 4)² + 5

y = -2(x - 4)² + 5

y = -2(x + 4)² + 5

20.

What is the y-intercept?
f(x) = -2x² + 4x - 6

(0, 6)

(0, -6)

(6, 0)

(-6, 0)

21.

The discriminant is

aX² + bX + c

b - 4ac

b² - 4ac

b² + 4ac

22.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

Positive

Negative

Zero

Not Sure

23.

What is the discriminant of -2x² − x − 1 = 0

-7

none of these

24.

If the discriminant is positive, then the solution will be

one real solution

two real solutions

no real solutions

one imaginary solution

25.

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember: b² - 4ac

400, 2 real root

0, 1 real root with a multiplicity of 2

-400, 2 imaginary roots

-3, 2 imaginary roots

Reset

Review for Fall Final part 2 adv int 2

Total questions: 25

Worksheet time: 6hrs 15mins

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