Free Printable Alg2 - NW3 REVIEW QUIZIZZ

1.

$4\sqrt{6}\cdot\sqrt{3}$

a)

$4\sqrt{9}$

b)

$\sqrt{72}$

c)

$4\sqrt{18}$

d)

$12\sqrt{2}$

2.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

Find the sum.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

6.

$-3+6i-\left(-5-3i\right)-8i$

(a)

7.

(-3-i)(6-i)

a)

-21-7i

b)

-19-3i

c)

-15-5i

d)

-17-9i

8.

$Simplify:\ \ \left(-2\ +\ 7i\right)\left(4\ -\ 2i\right)$

a)

$6+\ 32i$

b)

$-6\ +\ 32i$

c)

$22+32i$

d)

$6\ +\ 24i$

9.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

10.

(3i)(5i) (Hint: $i^2$ =-1)

a)

15

b)

-15

c)

15i

d)

-15i

11.

$i=\sqrt[]{-1}$

a)

True

b)

False

12.

a)

A.

b)

B.

c)

C.

d)

D.

13.

Solve: k² - 6 = -50

a)

k = ±4i√11

b)

k = ±4√11

c)

k = ±2i√11

d)

k = ±2√11

14.

Solve the following trinomial by factoring:

10x^2+75x+35=0

a)

$x=-\frac{1}{2},\ -7$

b)

$x=\frac{1}{2},\ 7$

c)

$x=0,\ \frac{1}{2},\ 7$

d)

$x=0,\ -\frac{1}{2},\ -7$

15.

Solve the following trinomial by factoring:

-2x^2-5x+7=0

a)

$x=\frac{2}{7},\ -1$

b)

$x=-\frac{2}{7},\ 1$

c)

$x=\frac{7}{2},\ -1$

d)

$x=-\frac{7}{2},\ 1$

16.

Use the quadratic formula to solve

2x² + 2x - 12 = 0

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

17.

Solve using the quadratic formula.

a)

A

b)

B

c)

C

d)

D

18.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3 and-1}

b)

{4 and -4}

c)

{5 and -3}

d)

{8 and -7}

19.

Complete the Square and solve the equation.
m² - 16m = -59

a)

8

b)

8 ± √ 5

c)

± √ 13

d)

-8 ± √ 5

20.

Check all of the equations that are in standard form

a)

$y=2x+1$

b)

$y=x^2+4x-9$

c)

$y=4\left(x-5\right)^2+3$

d)

$y=x^2+9$

21.

Select all equations that are in vertex form

a)

$y=x^2+5x$

b)

$y=3\left(x+4\right)^2-1$

c)

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

d)

$y=\left(x+3\right)\left(x-2\right)$

22.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5,-4)

b)

(-5,-4)

c)

(-15, 4)

d)

(15, -4)

23.

Sketch the graph of the following function

y\ =\ 2\left(x+4\right)^2-4

a)

b)

c)

d)

24.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

25.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

26.

What are the zeros for the function
f(x) = (x + 7)(x + 5)

a)

(7 , 0) and (5 , 0)

b)

(0 , 7) and (0 , 5)

c)

(-7 , 0) and (-5 , 0)

d)

(7 , 0) and (5 , 0)

27.

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

a)

(6 , 0)

b)

(-6 , 0)

c)

(0, -6)

d)

(0 , 6)

28.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

29.

$y=-3(x+5)^2-4$
Convert the equation from vertex form to standard form.

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

30.

Which equation matches the x-intercepts x=5,-7 ?

a)

(x+5)(x-7)=0

b)

(x-5)(x+7)=0

c)

(x+5)(x+7)=0

d)

(x-5)(x-7)=0

31.

Find the expression equivalent to:
$\left(x-1\right)\left(x-9\right)$

a)

x²+9

b)

x²-10x+9

c)

x²-10x-9

d)

x²+10x+9

32.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

33.

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a.

y = a(x-6)(x-8)

What is the value of a?

a)

a = 1

b)

a = -1

c)

a = 7

d)

a = -7

34.

Write a quadratic equation given the x intercepts and one other point.

Put the steps together.

Find the factors.
Solve for a by substituting in the extra point.
Write the equation in factored form.

The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

a)

y=4(x+3)(x-5)

b)

y=3/7(x-3)(x+5)

c)

y=-3(x-3)(x+5)

d)

y=3/7(x+3)(x-5)

35.

(2x⁴y⁵)(-3x²y⁷)

a)

6x⁶y¹²

b)

-1x⁶y^-2

c)

-6x²y²

d)

-6x⁶y¹²

36.

(34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

37.

When multiplying exponential expressions with the same base, what always happens to the exponents?

a)

they are added together

b)

they are subtracted

c)

they are divided

d)

they are multiplied

38.

When dividing exponential expressions with the same base, what always happens to the exponents?

a)

they are added together

b)

they are subtracted

c)

they are divided

d)

they are multiplied

39.

Simplify:

a)

A

b)

B

c)

C

d)

D

40.

a)

m⁴

b)

m⁶

c)

m¹⁰

d)

1/m⁶

41.

(8.4 × 10⁶) ÷ (2.1 × 10³)

a)

0.4 × 10⁴

b)

400 × 10^-3

c)

4 × 10³

d)

4 × 10²

42.

Add or Subtract to Simplify:
(x + 2x²) + (4x² + 7x)

a)

6x² + 8x

b)

8x² + 6x

c)

2x² + 6x

d)

2x² + 8x

43.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

44.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

45.

Simplify the expression.
x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

46.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

47.

(x+4)²

(a)

48.

Multiply:

$\left(x+3\right)^2$

**Start by rewriting as (x+3)(x+3)**

a)

$x^2+6x+9$

b)

$x^2+9$

c)

$x^2+3x+9$

d)

$x^2+6x+6$

49.

What method should you use to factor the polynomial?

n³-216

a)

Sum of 2 Cubes

b)

Factor out the GCF

c)

Difference of Squares

d)

Difference of 2 Cubes

50.

Factor Completely. $8x^2-200$

a)

$8\left(x+5\right)\left(x-5\right)$

b)

$8\left(x^2-25\right)$

c)

$4\left(2x^2-50\right)$

d)

$4\left(2x+25\right)\left(2x-25\right)$

51.

Factor: x³ + 512

a)

(x + 8)(x² - 8x + 64)

b)

(x + 8)(x² + 8x -64)

c)

(x-8)(x + 2)

d)

(x - 8)(x² - 8x - 64)

52.

Write 4x³+2x²-6x in factored form.

a)

2x(2x-3)(x+1)

b)

4x(2x+3)(x-1)

c)

2x(2x+3)(x-1)

d)

4x(2x-3)(x+1)

53.

Factor completely.

x⁴ - 1

a)

( x² + 1 ) ( x² - 1 )

b)

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

c)

( x² - 1 ) ²

d)

( x² + 1 ) ( x + 1 ) ( x - 1 )

54.

Factor the difference of a cube.

a)

(x + 3)(x-3)

b)

$\left(x-3\right)\left(x^2-3x\ +9\right)$

c)

$\left(x\ -3\right)\left(x^2+3x\ +\ 9\right)$

d)

none of the above

55.

Factor:

w⁴ - 625

a)

(w² + 25) (w² - 25)

b)

(w² - 25) (w² - 25)

c)

(w + 25) (w - 25)

d)

Can't factor using Diff. of Squares

56.

Factor by grouping:

x³ + 7x² - 2x - 14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

57.

Solve
3x² - 192 = 0

a)

x = -16, 16

b)

x has no real solutions

c)

x = -8, 8

d)

x = -64, 64

58.

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.

a)

A

b)

B

c)

C

d)

D

59.

Find all solutions, one factor has been given.

f(x) =x³-3x²-25x+75; (x-5)

a)

5,-3,5

b)

5,5,5

c)

3,-5,5

d)

1,1,1

60.

What is the total number of roots for the following equation?
y = 4x⁶ - 12x⁵ - x⁴ + 2x³ - 6x² - 5x + 10

a)

4

b)

5

c)

6

d)

7

61.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

62.

How could you determine if x-2 is a factor of 2x³-5x²+x-2?

a)

Use synthetic division and see if the quotient is even

b)

Ask the person sitting next to me

c)

Use synthetic division and see if the remainder is zero

d)

Flip a coin

63.

The degree of a polynomial tells you how many ___________ the polynomial has

a)

Zeros

b)

Terms

c)

Exponents

d)

Coefficients

64.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

65.

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

a)

-1, ⅓, ±3i

b)

½, -1, ±3i

c)

1, -1, ±i√11

d)

1, -1, ±3i

66.

Which of the following would be the correct factored form with roots 2, 5i, and 6?

a)

(x-6)(x-2)(x+5i)(x-5i)

b)

(x+6)(x+2)(x+5i)

c)

(x-6)(x-2)(x-5i)

d)

(x+6)(x+2)(x-5i)

67.

If a+bi is a root of a polynomial, then _______ is also a root.

a)

i²

b)

a-bi

c)

a+bi

d)

-i²

68.

Which is true about the equation of the graph shown?

a)

The function has an Odd degree

b)

The function has an Even degree

c)

The function has 5 real zeros

d)

The function has a positive leading coefficient

69.

Which of the following could be the equation of the graph in factored form?

a)

y=-(x+1)(x-2)(x-4)

b)

y=(x+1)²(x-2)
(x-4)³

c)

y = x(x+1)(x-2)
(x-4)

d)

y=(x+1)³(x-3)
(x-1)²

70.

What is the end-behavior of the function
y = -x³ + 6x² + 7x

a)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> -∞

b)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> ∞

c)

as x->-∞ f(x) -> -∞
as x-> ∞ f(x) -> ∞

d)

as x-> -∞ f(x) -> -∞
as x-> ∞ f(x) -> -∞

71.

What is the end-behavior of the function
y = x⁶ - 7x⁵ + 7x - 9

a)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> -∞

b)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> ∞

c)

as x->-∞ f(x) -> -∞
as x-> ∞ f(x) -> ∞

d)

as x-> -∞ f(x) -> -∞
as x-> ∞ f(x) -> -∞

Alg2 - NW3 REVIEW QUIZIZZ

Total questions: 71

Worksheet time: 6hrs 10mins

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