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Midterm Review

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Last updated almost 4 years ago
48 questions
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Question 1
1.

What is the largest integer?

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Question 2
2.

What is the smallest integer?

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Question 3
3.

What is the area, in cm^{2}? Write just the number.

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Question 4
4.

How old is John now? Write just the number.

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Question 5
5.

What is the minimum number of tickets?

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Question 6
6.

Write the inequality. Use |x-#|<# format, no spaces.

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Question 7
7.

What is the maximum time, to the nearest minute, that Jordan can take to meet his goal? Your answer should be an integer.

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Question 9
9.

In what grade will they be the same height? Enter your answer as a number, no spaces.

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Question 10
10.

What was his score? Enter a number, no spaces.

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Question 11
11.

How many organisms were in the tank? Enter your answer as (s, a), where s is the number of spiders and a is the number of ants.

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Also - I can find function inverses.
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Question 14
14.

Give the vertex. Use (x, y) format.
f(x) = 3(x-4)2+2

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Question 19
19.

Give the vertex. Use (x, y) format, with exactly one space after the comma. Put your answers in fraction form.

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Question 20
20.

Give the range of the function. Use interval notation, one space after the comma.

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Question 21
21.

What is the vertex? Use (x, y) format, with exactly one space after the comma.

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Question 24
24.

Find the inverse of
y = \sqrt{x-2}+4

Use y=... format, no spaces.

Question 25
25.

Find the inverse of
y = \frac{1}{2}\sqrt{x+1}

Use y=... format, no spaces.

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Question 34
34.

Simplify. Use a+bi format, where a and b are real numbers. No spaces.

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Question 35
35.

Simplify. Use a+bi format, where a and b are real numbers. No spaces.

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Question 37
37.

*MEMORIZE*

Draggable itemarrow_right_altCorresponding Item
the discrimant is zero
arrow_right_alt
the quadratic has two real, rational solutions
discriminant is a positive perfect square
arrow_right_alt
the quadratic has two real, irrational solutions
discriminant is positive, but not a perfect square
arrow_right_alt
the quadratic has one unique solution with multiplicity two
the discriminant is negative
arrow_right_alt
the quadratic has two nonreal solutions
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Question 48
48.

*MEMORIZE
This won't turn green til all of them are right.

  • even degree negative leading coefficient
  • -x2 + 22x4
  • x2 + 5
  • even degree, positive leading coefficient
  • 5 - x
  • x23 - x2
  • odd degree negative leading coefficient
  • odd degree positive leading coefficient
  • x\rightarrow\infty, y\rightarrow\infty
    x\rightarrow -\infty, y\rightarrow\infty
  • x\rightarrow\infty, y\rightarrow\infty
    x\rightarrow -\infty, y\rightarrow -\infty
  • x\rightarrow\infty, y\rightarrow -\infty
    x\rightarrow -\infty, y\rightarrow -\infty
  • x\rightarrow\infty, y\rightarrow -\infty
    x\rightarrow -\infty, y\rightarrow\infty
Question 8
8.

If c represents the cost of the laptop, and t describes years since 2011, which equation represents the cost of the laptop?

Question 12
12.

Select the combinations which are possible.

Question 13
13.

Select the transformations.

f(x) = 3(x-4)2+2

Question 15
15.

Give the vertex. Use (x, y) format.

f(x) = -5/3(x+2)2

Question 16
16.

Give the increasing interval. Use (x1, x2) format with exactly one space after the comma.

f(x) = -5/3(x+2)2

Question 17
17.

Give the decreasing interval. Use (x1, x2) format with exactly one space after the comma.

f(x) = -5/3(x+2)2

Question 18
18.

Give the new function. Use the square root function. Use y=... format, no spaces.

Question 22
22.

Select the transformations from the parent function.

Question 23
23.

Write the new function in vertex form. Use y=a(x-h)2+k format, no spaces.

Question 26
26.

Find the discriminant.

Question 27
27.

Solve by factoring. Use p={#, #}, list the smallest value first.

Question 28
28.

Discriminant? Enter a number, no spaces.

Question 29
29.

Solutions? Use h={#, #} format, with exactly one space after the comma. List the smaller number first.

Question 30
30.

Solutions? Use r={#, #} format, with exactly one space after the comma. List the smaller number first.

Question 31
31.

Solutions? Use b={#, #} format, with exactly one space after the comma. List the smaller number first.

Question 32
32.

Solutions? Use c={#, #} format, with exactly one space after the comma. List the smaller number first.

Question 33
33.

Solutions? Use s={#, #} format, with exactly one space after the comma. List the smaller number first.

Question 36
36.

Simplify.

Question 38
38.

Roots? Use x={#, ...} format, with exactly one space after each comma. List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 39
39.

Roots? Use x={#, ...} format, with exactly one space after each comma. List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 40
40.

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 41
41.

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 42
42.

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 43
43.

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 44
44.

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 45
45.

The graph of r(x) _______ at its root.

Question 46
46.

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

Question 47
47.

Which root of t(x) has a multiplicity of 3? Your answer should be a number, no spaces.