Free Printable Review for Test #2 adv math 2

1.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

2.

(5x+1)(x+4)

a)

5x² + 19x − 4

b)

5x² + 21x + 4

c)

5x² + 4

d)

5x² − 19x − 4

3.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

4.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

5.

Classify the polynomial:

4x² + 2x - 1

a)

Polynomial

b)

Binomial

c)

Trinomial

d)

Monomial

6.

(3x² + 4x - 2) - (5x + 7)

a)

3x² - x - 9

b)

2x² - 9

c)

3x² + 9x - 5

d)

3x² - x + 5

7.

What is the Area?

a)

2x² - 3x - 18 inches²

b)

2x² + 3x + 18 inches²

c)

2x² + 9x - 18 inches²

d)

2x² - 9x - 18 inches²

8.

What is the above expression classified as?

a)

5th degree Monomial

b)

10th degree Monomial

c)

5th degree Trinomial

d)

10th degree Polynomial

9.

Which is an example of a linear polynomial?

a)

x² - 5

b)

6x + 4

c)

5x⁵

d)

2x³ - 9x²

10.

factor 10x²y – 30xy²

a)

xy(10 - 30)

b)

10xy(x - 3y)

c)

10x²y(3y)

d)

10xy²(x)

11.

What are the zeros of the function:

f(x) = x² + x - 42

a)

7 and -6

b)

1 and 42

c)

-7 and 6

d)

8 and -3

12.

Solve by factoring: 3x² + 19x + 20 = 0

a)

-3/5 and -4

b)

5/3 and -4

c)

3/4 and 5

d)

-4/3 and -5

13.

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

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

14.

Solve using quadratic formula: x² - 5x + 10 = 0

a)

(5 - i√15)/2 , (5 + i√15)/2

b)

(5 - √15)/2 , (5 + √15)/2

c)

(5 - i√65)/2 , (5 + i√65)/2

d)

(5 - √65)/2 , (5 + √65)/2

15.

Solve by completing the square:
k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

16.

Solve by completing the square.
$x^2-4x-20=0$

a)

$x=\left\{\pm6\sqrt{2}-2\right\}$

b)

$x=\left\{\pm6\sqrt{2}+2\right\}$

c)

$x=\left\{\pm2\sqrt{6}+2\right\}$

d)

$x=\left\{\pm2\sqrt{6}-2\right\}$

17.

Solve using square roots.

a)

A

b)

B

c)

C

d)

D

18.

Solve using square roots.

a)

A

b)

B

c)

C

d)

D

19.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

20.

Does the equation open up or down?
Y = -3x² +7x - 2

a)

up

b)

down

21.

Which of the following parabolas will have a minimum?

a)

y = -x² + 4

b)

y = -x² + x - 3

c)

y = -x² - 2

d)

y = x² + 2x - 8

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

Which is the correct graph of the function:

a)

b)

c)

d)

25.

What is the factored form of the equation for the graph?

a)

$f\left(x\right)=\left(x+1\right)\left(x+3\right)$

b)

$f\left(x\right)=\left(x-1\right)\left(x-3\right)$

c)

$f\left(x\right)=x^2+4x+3$

d)

$f\left(x\right)=x^2-4x+3$

26.

Which equation in standard form is represented by this graph? Hint: You might want to write the equation in factored form first.

a)

$y=x^2+6x-8$

b)

$y=x^2+2x-8$

c)

$y=x^2-2x+8$

d)

$y=x^2-2x-8$

27.

Write this equation in factored form to find its x-intercepts: $y=x^2-1x-12$ .

a)

(4, 0) and (-3, 0)

b)

(0, -12)

c)

(-1, -12)

d)

(-4, 0), (3, 0)

28.

What is the axis of symmetry for the equation f(x) = 3x² - 18x + 23

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

29.

How do you know if a parabola has a minimum?

a)

When ‘a’ is positive there is a minimum

b)

When ‘a’ is negative there is a minimum

c)

When all the numbers in the equation are negative there is a minimum

d)

When all the numbers in the equation are positive there is a minimum

30.

What is the discriminant and how many solutions would this quadratic have?

4x² + 6x - 4 = 0

a)

-28, No Solutions

b)

28, 2 Solutions

c)

100, 2 Solutions

d)

-100, No Solutions

31.

What is the discriminant and how many solutions would this quadratic have?

-4x² - 8x - 8 = -4

a)

0, No Solutions

b)

0, 1 Solution

c)

128, 2 Solutions

d)

128, 1 Solution

32.

What is the discriminant and how many solutions would this quadratic have?

3x² + 3x + 4 = -3

a)

-75, No Solutions

b)

-75, 2 Solutions

c)

-39, No Solutions

d)

-39, 1 Solution

Review for Test #2 adv math 2

Total questions: 32

Worksheet time: 8hrs 0mins

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