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Biblioteka

S22 Midterm Exam

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Posljednje ažuriranje over 4 years ago
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Napomena autora:
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Directions:

0) Make sure you've turned in your study guide.

On your desk - paper, pencil, calculator

On your browser - this test, Desmos links below.

In your backpack - phones, electronics, notes.

1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.

2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You don't have to show your work.

3) Check your answers. Pay careful attention that you gave what the question was asking for. You can come by my desk and ask for your score before you submit.

4) Submit the test.

5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing

Desmos - Scientific

Formulae:

Discriminant: d = b^{2} - 4ac

Quadratic formula: x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

Difference of squares: a^{2} - b^{2} = (a-b)(a+b)

Difference of cubes: a^{3} -b^{3} = (a-b)(a^{2}+ab+b^{2})

Sum of cubes: a^{3} + b^{3} = (a+b)(a^{2}-ab+b^{2})

Desmos Graphing

Directions:

0) Make sure you've turned in your study guide.

On your desk - paper, pencil, calculator

On your browser - this test, Desmos links below.

In your backpack - phones, electronics, notes.

1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.

2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You don't have to show your work.

3) Check your answers. Pay careful attention that you gave what the question was asking for. You can come by my desk and ask for your score before you submit.

4) Submit the test.

5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing

Desmos - Scientific

Formulae:

Discriminant: d = b^{2} - 4ac

Quadratic formula: x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

Difference of squares: a^{2} - b^{2} = (a-b)(a+b)

Difference of cubes: a^{3} -b^{3} = (a-b)(a^{2}+ab+b^{2})

Sum of cubes: a^{3} + b^{3} = (a+b)(a^{2}-ab+b^{2})

Desmos Graphing

Pitanje 1
1.

Match the functions with their inverses.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

multiplication

arrow_right_alt

subtraction

x*2

arrow_right_alt

division

addition

arrow_right_alt

x-2

x2

arrow_right_alt

x/2

x+2

arrow_right_alt

\sqrt{x}

Pitanje 2
2.

What is the order for evaluating the expression below?

5 - |4+3^{2}|

  1. subtract

  2. perform the absolute value

  3. add

  4. perform the exponent

Pitanje 3
3.

A bottle of soda has 30 grams of sugar; a bottle of juice has 15 grams of sugar. Anna purchased 13 bottles of drinks, which collectively contain 300 grams of sugar. How many bottles of juice did Anna buy?

Hint: you will need to write two equations.

Write your answer as a number, no spaces.

Pitanje 4
4.

At a very fancy bakery, Sam bought 4 cupcakes and 2 donuts and paid $23. Lyric bought 3 cupcakes and 7 donuts and paid $28.25. What is the cost, in dollars, of a donut at this bakery?

Hint: you will need to write two equations.

Write your answer as a number, no spaces.

Pitanje 5
5.

Match the symbols to their shading requirements.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

>

arrow_right_alt

dashed, above

<

arrow_right_alt

dashed, below

<

arrow_right_alt

solid, above

>

arrow_right_alt

solid, below

Pitanje 6
6.

Which are solutions to the following system of inequalities?

y < 2x

y > -\frac{1}{4}x+9

Consider the function

f(x) = \frac{5}{3}(x+3)^{2}

1
1
Pitanje 8
8.

What is the vertex of f(x)?

Use (x, y) format with one space after the comma.

1
1
1
Pitanje 11
11.

What is the value of f(3)?

Enter your answer as a number, no spaces.

Consider the function

f(x) = \sqrt{x - 1} -2

1
1
Pitanje 13
13.

What is the domain of the function?

1
1
Pitanje 16
16.

Simplify by combining like terms.

2(3 - i) - 4(1 - 2i)

Use a+bi format, no spaces, where a and b are simplified real numbers.

Pitanje 17
17.

Simplify.

(2 + 5i)(1 - i) - (4 + 6i)

Use a+bi format, no spaces, where a and b are simplified real numbers.

Pitanje 18
18.

The discriminant of a quadratic equation is 34. Find the number and type of roots.

Pitanje 19
19.

The discriminant of a quadratic equation is -64. Find the number and type of roots.

Pitanje 20
20.

The discriminant of a quadratic equation is -5. Find the number and type of roots.

Pitanje 21
21.

The discriminant of a quadratic equation is 108. Find the number and type of roots.

For the polynomial below, predict the end behaviors. Find its roots and their multiplicities.

f(x) = -(x+1)2

1
Pitanje 22
22.

Select the end behaviors for the function. (2)

1
0
Pitanje 24
24.

Do any of the roots have multiplicity greater than 1?

If so, type the roots that have multiplicity in an increasing list. Separate roots with a comma and a space.

If not, type no.

For the polynomial below, predict the end behaviors. Find its roots and their multiplicities.

f(x) = x2 + 4x - 5

1
Pitanje 25
25.

Select the end behaviors for the function. (2)

1
0
Pitanje 27
27.

Do any of the roots have multiplicity greater than 1?

If so, type the roots that have multiplicity in an increasing list. Separate roots with a comma and a space.

If not, type no.

For the polynomial below, predict the end behaviors. Find its roots and their multiplicities.

f(x) = 2x4 - x2 - 3

1
Pitanje 28
28.

Select the end behaviors for the function. (2)

1
0
Pitanje 30
30.

Do any of the roots have multiplicity greater than 1?

If so, type the roots that have multiplicity in an increasing list. Separate roots with a comma and a space.

If not, type no.

For the following polynomial, predict the end behaviors. Find its roots and their multiplicities.

f(x) = 24x3 - 3

1
Pitanje 31
31.

Select the end behaviors for the function. (2)

1

For the following polynomial, predict the end behaviors. Find its roots and their multiplicities.

f(x) = 5 - \frac{1}{3}x

1
Pitanje 33
33.

Select the end behaviors for the function. (2)

1

For the following polynomial, predict the end behaviors. Find its roots and their multiplicities.

f(x) = -x5 + 4x3

1
Pitanje 35
35.

Select the end behaviors for the function. (2)

1
0
Pitanje 37
37.

Do any of the roots have multiplicity greater than 1?

If so, type the roots that have multiplicity in an increasing list. Separate roots with a comma and a space.

If not, type no.

For the following polynomial, predict the end behaviors. Find its roots and their multiplicities.

f(x) = 4x3 + 2x2 - 6x - 3

1
Pitanje 38
38.

Select the end behaviors for the function. (2)

1
0
Pitanje 40
40.

Do any of the roots have multiplicity greater than 1?

If so, type the roots that have multiplicity in an increasing list. Separate roots with a comma and a space.

If not, type no.

Pitanje 7
7.

How does the graph of f(x) compare with the graph of x^{2}?

Pitanje 9
9.

On what interval does the function decrease?

Pitanje 10
10.

Select the end behaviors for the function. (2)

Pitanje 12
12.

How does the graph of f(x) compare with the graph of \sqrt{x}?

Pitanje 14
14.

What is the inverse function of f(x)?

Use y=... format, no spaces. You may leave your answer in vertex form.

Pitanje 15
15.

What is the value of f(5)?

Enter your answer as a number, no spaces.

Pitanje 23
23.

What are the roots of the polynomial? Check all that apply.

Pitanje 26
26.

What are the roots of the polynomial?

Check all that apply.

Pitanje 29
29.

What are the roots of the polynomial?

Check all that apply. (# roots = degree)

Pitanje 32
32.

What are the roots of the polynomial? Hint: you will need the quadratic formula.

Check all that apply.

Pitanje 34
34.

What are the roots of the polynomial?

Check all that apply.

Pitanje 36
36.

What are the roots of the polynomial?

Use x={#, ...} format, using exactly one space after each comma.

Pitanje 39
39.

What are the roots of the polynomial?

Check all that apply.