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Midterm Review

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Last updated about 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 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 8
8.

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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 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
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the quadratic has two real, rational solutions
the discriminant is negative
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the quadratic has two real, irrational solutions
discriminant is a positive perfect square
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arrow_right_alt
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Question 48
48.

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

  • x2 + 5
Question 4
4.

How old is John now? Write just the number.

If c represents the cost of the laptop, and t describes years since 2011, which equation represents the cost of the laptop?
c(t) = 550 - 20t
t(c) = 550 - 20t
t(c) = 20 - 550c
Question 9
9.

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

Question 12
12.

Question 13
13.

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 21
21.

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

Question 22
22.

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.

the quadratic has one unique solution with multiplicity two
discriminant is positive, but not a perfect square
the quadratic has two nonreal solutions
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.

x23 - x2
5 - x
odd degree positive leading coefficient
even degree, positive leading coefficient
even degree negative leading coefficient
-x2 + 22x4
odd degree negative 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
Select the combinations which are possible.
0 pizzas, 20 sodas
10 pizzas, 0 sodas
4 pizzas, 8 sodas
2 pizzas, 2 sodas
8 pizzas, 8 sodas
8 pizzas, 4 sodas
Select the transformations.

f(x) = 3(x-4)2+2
down 4
up 4
right 4
right 2
up 2
left 4
reflection
stretch by 3
compression by 3
down 2
left 2
Select the transformations from the parent function.
reflection
shift right 1
shift left 1
shift up 1
shift down 1
shift left 1/2
shift right 1/2
shift up 1/2
shift down 1/2
compression by 1/2
stretch by 1/2