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Biblioteka

IM 2 Semester 1 Study Guide (Due 12/11/23)

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Posljednje ažuriranje 3 months ago
83 questions

Day 1 12/6/23

Simplifying Radicals

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10

Multiplying Radicals

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10
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Square Roots with Variables

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5
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10
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10

Identifying Parts of Expressions/Simplifying Expressions

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Monomial times a Polynomial

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Distribute then Combine Like Terms

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Multiplying Binomial X Binomial

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10
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10

Special Product: Sum and a Difference

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10

Special Products: Square of a Binomial

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Day 2 12/7/23

Inequalities and Interval Notation

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10
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10
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5
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2
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5

Sketching Functions

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10

Absolute Value

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5
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Compound Inequalities

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10
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12
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Solving Absolute Value Inequalities

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20
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20

Graphing Absolute Value Functions

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10
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8
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8

Day 4 (12/11/23)

Features of Quadratic Functions

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A.CED.2
F.IF.4

Solving Quadratic Equations by Graphing

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Solving Quadratics

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Solving Quadratic Word Problem

Pitanje 1
1.

Simplify this radical.

Pitanje 2
2.

Simplify this expression that contains radicals.

Pitanje 3
3.

Simplify this expression that contains radicals.

Pitanje 4
4.

Simplify each radical

Pitanje 5
5.

Simplify each radical

Simplifying Expressions by Multiplying Exponents (Product Rule)

Pitanje 6
6.

Simplify. Your answer should not have negative exponents.

Pitanje 7
7.

Simplify. Your answer should not have negative exponents.

Simplifying Expressions by Dividing Exponents

(Quotient Rule)

Pitanje 8
8.

Simplify. Your answer should not have negative exponents.

Pitanje 9
9.

Simplify. Your answer should not have negative exponents.

Simplifying Expressions by raising Exponents by another Exponent (very meta)

(Power Rule)

Pitanje 10
10.

Simplify. Your answer should not have negative exponents.

Pitanje 11
11.

Simplify. Your answer should not have negative exponents.

Pitanje 12
12.

Simplify. Your answer should not have negative exponents.

Simplifying Expressions (mixed practiced)

Using all three rules: Product Rule, Quotient Rule, and the Power Rule

Pitanje 13
13.

Simplify. Your answer should not have negative exponents.

Pitanje 14
14.

Simplify. Your answer should not have negative exponents.

Pitanje 15
15.

Simplify. Your answer should not have negative exponents.

Simplifying Negative Exponents

Pitanje 16
16.

Simplify this expression. Your answer should not have negative exponents.

Pitanje 17
17.

Simplify this expression. Your answer should not have negative exponents.

Pitanje 18
18.

Simplify this expression. Your answer should not have negative exponents.

Pitanje 19
19.

Use the properties of exponents to match each expression to its simplified version.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

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Pitanje 20
20.

Identify the variable terms, constant terms, and coefficients

Pitanje 21
21.
Pitanje 22
22.
Pitanje 23
23.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Pitanje 24
24.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Pitanje 25
25.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Pitanje 26
26.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

Pitanje 27
27.

Find the product of these expressions. Final answers must be in standard form.

Pitanje 28
28.

Find the product of these expressions. Final answers must be in standard form.

Pitanje 29
29.

Find the product of these expressions. Final answers must be in standard form.

Pitanje 30
30.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

Pitanje 31
31.

Write an expression in simplest form to represent the area of the shaded region.

Pitanje 32
32.

Find the Product of this binomial * binomial using the box method.

Pitanje 33
33.

Find the Product of this binomial * binomial using the box method.

Pitanje 34
34.

Find the Product of this binomial * binomial using the box method.

Pitanje 35
35.

Find the Product of these polynomials.

Pitanje 36
36.

Find the square of this binomial.

Pitanje 37
37.

Find the square of this binomial.

Pitanje 38
38.

Put the interval notations and graphs in the right category.

  • [3.5]

  • (3,5)

  • (-∞,-9)

  • (3,5]

  • [3,5)

  • [5,∞)

  • Open Interval

  • Closed Interval

  • Both

Pitanje 39
39.

Match the inequailty and graph with the correct interval notation.

Pitanje 40
40.
Pitanje 41
41.
Pitanje 42
42.
Pitanje 43
43.
Pitanje 44
44.
Pitanje 45
45.

Write the following in interval notation.

Pitanje 46
46.

Write the following in interval notation.

Pitanje 47
47.

Write the following in inequality notation.

[-4,3)

Pitanje 48
48.

Write the following in inequality notation.

(-∞,-3]

Pitanje 49
49.

Write the following in inequality notation.

(-∞,2)U[4,∞)

Pitanje 50
50.

Use the graph to create a function with the following features:

1) As x gets smaller; the function approaches infinity. x→ - ∞; f(x)→- ∞

2) As x gets larger; the function approaches infinity. x→ ∞; f(x)→ ∞

3) The graph of the function passes through the x-axis at -6

4) The graph of the function passes through the y-axis at -6

5) The graph of the function passes through the x-axis at 4

Pitanje 51
51.

The definition of absolute value is...

Pitanje 52
52.

Explain why this is not possible:

|x|= - 9.5

Pitanje 53
53.

Find the absolute value of this expression:

Pitanje 54
54.

Find the absolute value of this expression:

Pitanje 55
55.

Find the absolute value of this expression:

Solving Absolute Value Equations

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Pitanje 56
56.
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Pitanje 57
57.
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Pitanje 58
58.
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Pitanje 60
60.
Pitanje 61
61.
Pitanje 62
62.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • (-∞,-2)∪(2,∞)

  • -2≤x≤2

  • x<-2 or x>2

  • (-2,2)

  • |x|<2

  • |x|≤2

  • -2<x<2

  • |x|≥2

  • |x|>2

Pitanje 63
63.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • (-3,13)

  • (-∞,-4)∪(4,∞)

  • x≤-4 or x≥4

  • -3≤x≤13

  • x<-4 or x>4

  • [-3,13]

  • |x|>4

  • |x-5|<8

  • |x|<4

Pitanje 64
64.

Solve and graph the inequality

Pitanje 65
65.

Solve and graph.

Pitanje 66
66.

Use a set of x values to graph the function y=|x-3|+ 2

Pitanje 67
67.
Pitanje 68
68.
Pitanje 69
69.
Pitanje 70
70.
Pitanje 71
71.

What is the vertex of this parabola? Name the coordinate.

Pitanje 72
72.

What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

Pitanje 73
73.
Pitanje 74
74.
Pitanje 75
75.

What is the graph of the function?

Be sure to include relevant graph detail: use the axis of symmetry and vertex to sketch the graph and use arrows to represent end behavior.

Pitanje 76
76.
Pitanje 77
77.
Pitanje 78
78.
Pitanje 79
79.
Pitanje 80
80.
Pitanje 81
81.

Calculating Room Areas

People frequently need to calculate the area of rooms, boxes or plots of land. An example might involve building a rectangular box where one side must be twice the length of the other side.

For example, if you have only 4 square feet of wood to use for the bottom of the box, with this information, you can create an equation for the area of the box using the ratio of the two sides. This means the area -- the length times the width -- in terms of x would equal x times 2x, or 2x2. This equation must be less than or equal to four to successfully make a box using these constraints.

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Pitanje 82
82.

Objects Affected by Gravity

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Pitanje 83
83.
Pitanje 59
59.