Free Printable Alg 2 Midterm review

1.

What was the first state to recognize Christmas as a national holiday?

a)

Alabama

b)

Delaware

c)

Georgia

d)

New York

2.

Solve: $\frac{\left|6\ +\ 7x\right|}{10}<\ -1$

a)

All Real Numbers

b)

No Solutions

c)

(-10, 7)

d)

(-7, 10)

3.

Solve the following inequality:

|x + 4| − 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < −14

c)

all real numbers

d)

no solution

4.

Solve the system of equations:

a)

( -2, 3, -3)

b)

None of these

c)

( -2, -3, 3)

d)

( -3, 3, -2)

5.

In the movie "Elf", what is an elf's four main food groups?

a)

Candy, pasta, syrup, and candy canes

b)

Candy, soda, candy corn, and syrup

c)

Candy Canes, candy corn, sugar, and syrup

d)

Candy, candy canes, candy corn, and syrup

6.

Which graph represents the system of inequalities?

$y<\frac{1}{2}x-1$

$y\ge-3x+4$

a)

b)

c)

d)

7.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

8.

Find the Vertex:
y = x² + 6x

a)

(-3,-9)

b)

(1,6)

c)

(-3,27)

d)

No Real Solution

9.

What Christmas decoration is actually a parasitic plant?

a)

Poinsettia

b)

Holly

c)

Wreath

d)

Mistletoe

10.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

11.

Choose the right Pascal's triangle

a)

b)

c)

d)

12.

What is the range of the quadratic function shown?

a)

$\left(\infty,-\infty\right)$

b)

$\left[-2,\infty\right)$

c)

$\left(-\infty,-2\right]$

d)

$\left(-\infty,\infty\right)$

13.

What country does the poinsettia plant originate from?

a)

Poland

b)

Mexico

c)

United States

d)

Germany

14.

What is the equation of the quadratic function shown?

a)

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

b)

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

c)

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

d)

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

15.

State all the solutions

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

a)

x = 0, -8, 5

b)

x = -8, 5

c)

x = 0, 8, -5

d)

x = 8, -5

16.

Simplify

a)

A

b)

B

c)

C

d)

D

17.

Normally, a year contains 365 days. Which day does Christmas usually fall on?

a)

340

b)

350

c)

359

d)

360

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

Write the equation of the parabola shown...

a)

y²=8x

b)

y²=-8x

c)

x²=8y

d)

x²=-8y

21.

In the movie Polar Express, what is the first gift of Christmas?

a)

Candy Cane

b)

Hot Chocolate

c)

Golden Ticket

d)

Bell from Santa's sleigh

22.

Use polynomial long division: (3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

$3x^2-3x+8-\frac{9}{x+1}$

c)

$3x^2+3x+8+\frac{7}{x+1}$

d)

3x³ + 3x² + 8x + 7

23.

Simplify $\frac{\sqrt{c^5}}{\sqrt{d^9}}$

a)

$\frac{c^2\sqrt{cd}}{d^5}$

b)

$\frac{c^2}{d^4}$

c)

$\frac{c^2\sqrt{c}}{d^{4\sqrt{d}}}$

d)

$\frac{c}{d}\sqrt{\frac{c}{d}}$

24.

Match the following End Behavior to their Graphs

a)

1.

Degree is Odd, Leading Coefficient is Negative

b)

2.

Degree is Odd, Leading Coefficient is Positive

c)

3.

Degree is Even, Leading Coefficient is Negative

d)

4.

Degree is Even, Leading Coefficient is Positive

25.

Finish the lyric: You're a monster, Mr. Grinch! Your heart's an empty hole, Your brain is full of ________________, You've got garlic in your soul Mr. Grinch! I wouldn't touch you with a 39 1/2 foot pole!

a)

spiders

b)

garlic

c)

unwashed socks

d)

termites

26.

Simplify $5\sqrt{32}+\sqrt{27}+2\sqrt{75}$

a)

$20\sqrt{2}+13\sqrt{3}$

b)

$7\sqrt{100}$

c)

$8\sqrt{100}$

d)

$33\sqrt{5}$

27.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

28.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, shrunk by 2, right 3, up 3

d)

reflected over the x axis, shrunk by 2, left 3, up 3

29.

How many nights is the celebration of Hanukkah?

a)

5

b)

6

c)

7

d)

8

30.

Simplify $\frac{8}{\sqrt{6}-5}$

a)

$\frac{\left(-40-8\sqrt{6}\right)}{19}$

b)

$\frac{27-10\sqrt{3}}{13}$

c)

$40$

d)

$-2-\sqrt{2}$

31.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4;
-x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4;
-x+1 if x > 4

c)

f(x) = { -x+1 if x < 4;
x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4;
x if x > 4

32.

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

a)

1, 2, 4, 8, 16

b)

$\pm1,\pm2,\pm4,\pm8,\pm16$

c)

$\pm1,\pm4,\pm\frac{1}{4}$

d)

-2 and-4

33.

Diwali is a Hindu celebration known as...

a)

The Fesitval of Gifts

b)

The Festival of Lights

c)

The Festival of the Gods

d)

The Festival of Sweets

34.

What is the degree of the polynomial function

P(x)=3x⁴-7x²-2x⁷-x+4

a)

4

b)

7

c)

2

d)

11

35.

Describe the end behavior of the graph.

a)

As x → ∞, f(x) → ∞ and

As x → -∞, f(x) → -∞

b)

As x → ∞, f(x) → ∞ and

As x → -∞, f(x) →∞

c)

None of these

d)

As x →∞,f(x) → -∞ and

As x → -∞, f(x) → -∞

36.

Which function shows horizontal translation and a vertical stretch?

a)

f(x) = -2|-x |

b)

f(x) = -3|x| - 7

c)

f(x) = -|-x + 1| + 4

d)

f(x) = 5|x - 4| - 1

37.

Which President was the first to celebrate Hanukkah in The White House?

a)

Jimmy Carter

b)

Ronald Reagan

c)

FDR

d)

Harry Truman

38.

Which of the following is the correct label of "B" on the graph

a)

Vertex

b)

Directrix

c)

Focus

d)

Axis of Symmetry

39.

Write the equation of the parabola shown if focus is at green point...

a)

y²=16x

b)

y²=4x

c)

x²=16y

d)

x²=4y

40.

Which equation below is a quadratic function translated up 5 units, left 4 and vertically stretched twice as tall?

a)

$f\left(x\right)=\frac{1}{2}\left(x-4\right)^2-5$

b)

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

c)

$f\left(x\right)=2\left(x+4\right)^2+5$

d)

$f\left(x\right)=\left(2x-4\right)^2+5$ y = -x2 - 5

41.

On what day does Kwanzaa begin?

a)

December 1

b)

December 15

c)

December 25

d)

December 26

42.

a)

This graph has two imaginary roots because it is a polynomial of degree two.

b)

This graph has two imaginary roots because it has one hump.

c)

This graph has two imaginary roots because it touches the x-axis at two points.

d)

This graph is imaginary because it the graph has shifted up.

43.

What is the leading coefficient of the following polynomial?

2x^2-3x+4x^3-5-7x^4

(Do not forget to put this in standard form first)

a)

2

b)

-2

c)

4

d)

-7

44.

State the end behavior of f(x) = -x³ + 5x² + 6x + 1

a)

b)

c)

d)

45.

How many gifts in total were given in “The Twelve Days of Christmas” song?

a)

276

b)

364

c)

396

d)

412

46.

Here is the graph of a polynomial function with degree 4. Select ALL of the statements that are true about the function.

a)

The leading coefficient is positive.

b)

The constant term is negative.

c)

It has 2 relative maximums.

d)

One of the zeros is x=2

e)

One of the factors is

(x-1)

47.

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root.

a)

7i

b)

-7i+1

c)

1-7i

d)

1+7i

48.

Expand the expression.
(2x+5)⁴

a)

2x⁴ + 40x³+ 300x² + 1000x +625

b)

16x⁴+ 160x³ +600x² +1000x + 625

c)

16x⁴ + 1000x³ + 600x²+ 160x +625

49.

When did Charlie Brown Christmas premiere?

a)

December 9, 1959

b)

December 9, 1965

c)

December 9, 1968

d)

December 9, 1975

50.

Find the 4th term in the expansion of (4x-3)⁵.

a)

5760

b)

-4320x²

c)

5760x³

d)

-4320

51.

Simplify the following expression:

a)

b)

c)

d)

52.

Simplify the following expression:

(5-5i)(-2+3i)

a)

25

b)

10-15i

c)

5+25i

d)

-10-15i

53.

Which country started the tradition of putting up a Christmas tree?

a)

England

b)

France

c)

Germany

d)

Spain

54.

What is the best selling Christmas Song of all time?

a)

All I want for Christmas is You by Mariah Carey

b)

Rudolph the Red-Nosed Reindeer by Gene Autry

c)

Mistletoe by Justin Bieber

d)

White Christmas by Bing Crosby

55.

What is the name of the Grinch's dog?

a)

Snoopy

b)

Pluto

c)

Max

d)

Sam

56.

In Rudolph the Red-Nosed Reindeer, which elf wanted to be a dentist?

a)

Hermey

b)

Buddy

c)

Janet

d)

Jingle Jangle

57.

What holiday is celebrated on December 26th in Canada

a)

Boxing Day

b)

Bagging Day

c)

Wrapping Day

d)

Festivus Day

58.

The Famous New Years Eve Ball is dropped in what location on New Years Eve.

a)

Times Square

b)

Madison Square Gardens

c)

The White House

d)

The Sydney Opera House

Alg 2 Midterm review

Total questions: 58

Worksheet time: 30mins

Similar Resources on Wayground