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Biblioteka

IM 2 Semester 1 Study Guide (12/15/2025)

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61

Day 2 12/11/25

Multiplying Binomial X Binomial

Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
20
Obavezno
10

Inequalities and Interval Notation

10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10

Graphing Quadratic Functions

Obavezno
5
Obavezno
5
Obavezno
12
Obavezno
40
Obavezno
40
Obavezno
40

Solving Quadratics

Solving Quadratic Word Problem

Simplifying Radicals

Obavezno
10
Pitanje 1
1.

Simplify this radical.

Multiplying Radicals

Obavezno
10
Pitanje 2
2.

Simplify this expression that contains radicals.

Obavezno
10
Pitanje 3
3.

Simplify this expression that contains radicals.

Square Roots with Variables

Obavezno
10
Pitanje 4
4.

Simplify each radical

Obavezno
10
Pitanje 5
5.

Simplify each radical

Simplifying Expressions by Multiplying Exponents (Product Rule)

Obavezno
10
Pitanje 6
6.

Simplify. Your answer should not have negative exponents.

Obavezno
10
Pitanje 7
7.

Simplify. Your answer should not have negative exponents.

Simplifying Expressions by Dividing Exponents

(Quotient Rule)

Obavezno
10
Pitanje 8
8.

Simplify. Your answer should not have negative exponents.

Obavezno
10
Pitanje 9
9.

Simplify. Your answer should not have negative exponents.

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

(Power Rule)

Obavezno
10
Pitanje 10
10.

Simplify. Your answer should not have negative exponents.

Obavezno
10
Pitanje 11
11.

Simplify. Your answer should not have negative exponents.

Obavezno
10
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

Obavezno
10
Pitanje 13
13.

Simplify. Your answer should not have negative exponents.

Obavezno
10
Pitanje 14
14.

Simplify. Your answer should not have negative exponents.

Obavezno
10
Pitanje 15
15.

Simplify. Your answer should not have negative exponents.

Simplifying Negative Exponents

Obavezno
10
Pitanje 16
16.

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

Obavezno
10
Pitanje 17
17.

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

Obavezno
10
Pitanje 18
18.

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

Exponent Rule Recap

Obavezno
10
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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arrow_right_alt

arrow_right_alt

arrow_right_alt

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Identifying Parts of Expressions/Simplifying Expressions

Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10

Monomial times a Polynomial

Obavezno
10
Pitanje 27
27.

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

Obavezno
10
Pitanje 28
28.

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

Obavezno
10
Pitanje 29
29.

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

Distribute then Combine Like Terms

Obavezno
10
Pitanje 30
30.

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

Obavezno
10
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.

Simplify this expression using F.O.I.L.

First-

Outside-

Inside-

Last-

Combine the four terms together for your answer

Pitanje 36
36.

Simplify this expression using F.O.I.L.

First-

Outside-

Inside-

Last-

Combine the four terms together for your answer

Special Product: Sum and a Difference

Obavezno
10
Pitanje 37
37.

Find the Product of these polynomials.

Special Products: Square of a Binomial

Obavezno
10
Pitanje 38
38.

Find the square of this binomial.

Obavezno
10
Pitanje 39
39.

Find the square of this binomial.

Pitanje 40
40.

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

Domain (Left to Right):

Range (Lowest to Highest):

Pitanje 41
41.

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

Domain (Left to Right):

Range (Lowest to Highest):

Pitanje 42
42.

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

Domain (Left to Right):

Range (Lowest to Highest):

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.

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

Pitanje 46
46.

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

Pitanje 47
47.

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 48
48.

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 49
49.

What is the graph of this quadratic function?

Axis of Symmetry

x=

Vertex (h,k)

Pitanje 50
50.

What is the graph of this quadratic function?

a=

b=

c=

Axis of Symmetry

x=

Vertex (h,k)

Solving Quadratic Equations by Graphing

Obavezno
40
Pitanje 51
51.

Solve this quadratic equation graphing.

x=

x=

Obavezno
20
Pitanje 52
52.

Solve this quadratic equation graphing.

x=

x=

Solving Quadratics by Factoring

Obavezno
10
Pitanje 53
53.

Solve the following Quadratic function:

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

x=

x=

Obavezno
10
Pitanje 54
54.

Solve the following Quadratic function:

x2 + 2x - 15 = 0

x=

x=

Obavezno
10
Pitanje 55
55.

Solve the following Quadratic function:

2x2 + 5x + 2 = 0

x=

x=

Solving Quadratic Using Square Roots

Obavezno
10
Pitanje 56
56.

Solve this quadratic equation by taking the square root

x= and

Obavezno
10
Pitanje 57
57.

Solve this quadratic equation by taking the square root.

x= and

Obavezno
10
Obavezno
10

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 60
60.

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

Length

Width

Objects Affected by Gravity

Obavezno
50
Pitanje 61
61.

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 + 500 , where t is the time in seconds and h is the height in feet.

Round your answers to the nearest tenth.

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?

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 58
58.

Solve this quadratic equation by taking the square root.

x= and

Pitanje 59
59.

Solve this quadratic equation by taking the square root.

x= and