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Biblioteka

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

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Posljednje ažuriranje 5 months ago
83 questions

Day 1 12/6/23

Simplifying Radicals

Obavezno
10

Multiplying Radicals

Obavezno
10
Obavezno
10

Square Roots with Variables

Obavezno
5
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5
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5
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5
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5
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5
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5
Obavezno
10
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10
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5
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5
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5
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10

Identifying Parts of Expressions/Simplifying Expressions

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10
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4
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4
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10
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10
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10
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Monomial times a Polynomial

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10
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10
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10

Distribute then Combine Like Terms

Obavezno
10
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10

Multiplying Binomial X Binomial

Obavezno
10
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10
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10

Special Product: Sum and a Difference

Obavezno
10

Special Products: Square of a Binomial

Obavezno
10
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10

Day 2 12/7/23

Inequalities and Interval Notation

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10
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8
10
10
10
Obavezno
5
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2
Obavezno
5
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5
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5
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5
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5

Sketching Functions

Obavezno
10

Absolute Value

Obavezno
5
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5
Obavezno
2
Obavezno
2
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2

Compound Inequalities

Obavezno
10
Obavezno
10
Obavezno
12
Obavezno
12

Solving Absolute Value Inequalities

Obavezno
20
Obavezno
20

Graphing Absolute Value Functions

Obavezno
10
Obavezno
20
Obavezno
8
Obavezno
8
Obavezno
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

Obavezno
20
Obavezno
10
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10

Solving Quadratics

Obavezno
10
Obavezno
10
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10

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.

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Pitanje 20
20.

Identify the variable terms, constant terms, and coefficients

Pitanje 21
21.

Use page 6 in your notes to identify and classify the parts of this polynomial:

Degree (first, second, third, etc.)

# of Terms (1, 2, 3, etc.):

Pitanje 22
22.

Use page 6 in your notes to identify and classify the parts of this polynomial:

Degree (first, second, third, etc.)

# of Terms (1, 2, 3, etc.):

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.

  • [5,∞)

  • (3,5]

  • [3,5)

  • (-∞,-9)

  • [3.5]

  • (3,5)

  • Open Interval

  • Closed Interval

  • Both

Pitanje 39
39.

Match the inequailty and graph with the correct interval notation.

Pitanje 40
40.

Use interval notation to describe the domain and range of this function.

D:

R:

Pitanje 41
41.

Use interval notation to describe the domain and range of this function.

D:

R:

Pitanje 42
42.

Use interval notation to describe the domain and range of this relation.

D:

R:

Pitanje 43
43.

For what interval of x is the function f(x):

Increasing?

Decreasing?

Pitanje 44
44.

For what interval of x is the function f(x)

Negative?

Positive?

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

Obavezno
10
Pitanje 56
56.

Solve this absolute Value equation:

+ Case

- Case

Obavezno
10
Pitanje 57
57.
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Pitanje 60
60.

Solve and graph the compound inequality for the given variable.

or

Pitanje 61
61.

Solve and graph the compound inequality for the given variable.

and

Pitanje 62
62.

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

  • |x|≥2

  • -2<x<2

  • |x|<2

  • (-∞,-2)∪(2,∞)

  • |x|≤2

  • |x|>2

  • -2≤x≤2

  • (-2,2)

  • x<-2 or 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]

  • x<-4 or x>4

  • |x|>4

  • |x-5|<8

  • -3≤x≤13

  • |x|<4

  • (-3,13)

  • (-∞,-4)∪(4,∞)

  • x≤-4 or 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.

1)What are the critical values of this absolute value function:

y=|x-1|+2

Opens (upward or downward)

Axis of Symmetry

Vertex

Slope

2) Use the critical values of this equation to graph it.

Pitanje 68
68.

What are the critical values of this absolute value function:

Opens (upward or downward)

Axis of Symmetry

Vertex

Slope

2) Use the critical values of this equation to graph it.

Pitanje 69
69.

How is the absolute function below different than the parent function y=|x|:

y=2|x+6|-2

Opens (Upward or Downward)

Horizontal Shift (write none if there is none)

Vertical Shift (write none if there is none)

Stretched (0<|a|<1), Compressed (|a|>1), or None .

Pitanje 70
70.

How is the absolute function below different than the parent function y=|x|:

y=-5|x-8|+3

Opens (Upward or Downward)

Horizontal Shift (write none if there is none)

Vertical Shift (write none if there is none)

Stretched (0<|a|<1), Compressed (|a|>1), or None .

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.

Describe the transformation of:

Stretch or Compression?(If a=1 or a=-1, then write none)

Opens upward or downward?

Horizontal shift? (If there is no shift write none)

Vertical shift? (If there is no shift write none)

Axis of Symmetry? (x=h)

Vertex (h,k)

Pitanje 74
74.

Graph the function and state the vertex.

Vertex

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.

Graph each quadratic function and each of its linear factors. Then identify the x-intercepts and the axis of symmetry of each parabola.

Left x-intercept

Right x-intercept

Axis of Symmetry

Vertex

Pitanje 77
77.

Solve this quadratic equation graphing.

x=

x=

Pitanje 78
78.

Solve this quadratic equation graphing.

x=

x=

Pitanje 79
79.

Solve the following Quadratic function:

(7x + 3)(2x + 6) = 0

x=

x=

Pitanje 80
80.

Solve the following Quadratic function:

x2 + 2x - 15 = 0

x=

x=

Pitanje 81
81.

Solve the following Quadratic function:

2x2 + 5x + 2 = 0

x=

x=

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.

Obavezno
10
Pitanje 82
82.

For each rectangle with area given, determine the binomial factors that describe the dimensions.

Length

Width

Objects Affected by Gravity

Obavezno
30
Pitanje 83
83.

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t²+ 16t + 480 , where t is the time in seconds and h is the height in feet.

How long did it take for Jason to reach his maximum height?

What was the highest point that Jason reached?

Jason hit the water after how many seconds?

Solve this absolute Value equation:

+ Case

- Case

Pitanje 58
58.

Solve this absolute Value equation:

+ Case

- Case

Pitanje 59
59.

Solve this absolute Value equation:

+ Case

- Case