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Biblioteka

IM 1 Semester 1 Study Guide (Due 12/11/2023)

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88

Day 1 Tuesday (12/5/23)

Day 2 Wednesday (12/6/23)

Day 3 Thursday (12/7/23)

Day 4: Friday (12/8/23)

Day 5: Monday (12/11/23)

Mathematical Phrases into Expressions

Obavezno
5
Pitanje 1
1.

Translate this expression.

“eighteen less than a number”

Obavezno
5
Pitanje 2
2.

Translate this expression.

“the product of a number and six”

Obavezno
5
Pitanje 3
3.

Translate this expression.

“triple a number”

Obavezno
5
Obavezno
5

Expressions into Mathematical Phrases

Obavezno
5
Pitanje 6
6.

Write each expression in words

-12+n

Obavezno
5
Pitanje 7
7.

Write each expression in words

-2/n

Obavezno
5
Pitanje 8
8.

Write each expression in words

9x

Obavezno
5
Pitanje 9
9.

Write each expression in words

3k-14

Parts of an Expression

Notes Page 1-Parts of an Expression

Obavezno
8
Pitanje 10
10.

1. How many terms does the expression have?

2. What are the variables?

and

3. What are the coefficients?

and

4. What is the constant?

Obavezno
16
Pitanje 11
11.

1. How many terms does the expression have?

2. What are the variables?

and and

3. What are the coefficients?

and and

4. What is the constant?

Simplifying Expressions

^^^^Video link^^^^

Obavezno
10
Pitanje 12
12.

Directions: Simplify each expression.

Obavezno
10
Pitanje 13
13.

Directions: Simplify each expression.

Obavezno
10
Pitanje 14
14.

Directions: Give the perimeter of each figure as a simplified expression.

Using the Distributive Property

^^^^Video link^^^^

Obavezno
10
Pitanje 15
15.

Simplify each expression by distributing.

Obavezno
10
Pitanje 16
16.

Simplify each expression by distributing and combining like terms.

Obavezno
10
Pitanje 17
17.

Simplify each expression by distributing and combining like terms.

Evaluating Expressions

Notes Page 3-Evaluating Expressions

Obavezno
5
Pitanje 18
18.

Evaluate each expression using the variable replacements.

Obavezno
10
Pitanje 19
19.

The cost of either a can of gourmet chili is $2.25 and a can of hearty soup is $1.75. Ton Nam bought cans of chili and soup. He wrote an expression to describe the purchase where c represents the number of cans of chili and s represents the number of cans of soup.

Write an expression to present how much he might spend based on the number of cans of each that he bought.

How much will it cost to buy 6 cans of chili and 7 cans of soup?

Obavezno
8
Obavezno
6
Obavezno
6
Obavezno
4
Obavezno
10
Obavezno
2
Obavezno
2
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10

Solving Multi-Step Equations

>>Video Link<<

Obavezno
10
Pitanje 31
31.

  1. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5

  2. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140

  3. The solution is a = 5

  4. Use distribution to multiply (7a+5) by -4 to get -28a - 20

  5. Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160

Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10

Solving Equations with Variables on Both Sides of the Equal Sign

Notes Page 5: Solving Equations with Variables on Both Sides of the Equal Sign

>>>Video link<<<

Obavezno
10
Pitanje 36
36.

Solve this equation

Obavezno
10
Pitanje 37
37.

Solve this equation

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

Solving Inequalities

Notes Page 9-Solving Inequalities

>>>Video Link<<<

Obavezno
10
Pitanje 45
45.

Solve and graph the inequality for the given variable.

Obavezno
10
Pitanje 46
46.

Solve and graph the inequality for the given variable.

Main Idea: Representing Relations and Functions

>>>Video Link<<<

Obavezno
20
Pitanje 47
47.

Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.

Relations vs. Functions

Page 7-What are Functions?

Obavezno
5
Pitanje 48
48.

Determine whether the given relation is a function. (Function or Not a Function)

Obavezno
5
Pitanje 49
49.

Determine whether the given relation is a function. (Function or Not a Function)

Obavezno
5
Obavezno
5

Vertical Line Test

Page 7-What are Functions?

Obavezno
5
Pitanje 52
52.

Determine whether the given relation is a function. (Function or Not a Function)

Obavezno
5
Pitanje 53
53.

Determine whether the given relation is a function. (Function or Not a Function)

Obavezno
5

Equations as Functions--Graphing by Functions

Obavezno
20
Pitanje 55
55.

Directions: Complete each function table, then graph the function.

Evaluating Expressions and Functions

Notes Page 3 Equations as Functions

Obavezno
10
Pitanje 56
56.

Evaluate each function for the given value.

Obavezno
10
Pitanje 57
57.

Evaluate each function for the given value.

Obavezno
10
Pitanje 58
58.

Evaluate each function for the given value.

Obavezno
15
Obavezno
15
Obavezno
2
Obavezno
2
Obavezno
2
Obavezno
2
Obavezno
10
Obavezno
10

Arithmetic Sequences

Page 8-Arithmetic Sequences

>>>Video Link<<<

Obavezno
20
Pitanje 67
67.

Find the first term and common difference in this sequence:

1, 3, 5, 7, ...

a₁=

d=

Write the explicit formula to find the nᵗʰ term of this sequence (you can use either notation):

Find the 70ᵗʰ term of this sequence:

Obavezno
20
Pitanje 68
68.

Find the first term and common difference in this sequence:

-1, -4, -7, -10, ...

a₁=

d=

Write an equation to find the nᵗʰ term of this sequence (you can use either notation):

Find the 24ᵗʰ term of this sequence:

Obavezno
15
Pitanje 69
69.

Finding Slope

Notes Page 9 Rate of Change and Slope

>>>Video Link<<<

Obavezno
5
Pitanje 70
70.

Find the slope of this line:

Obavezno
5
Pitanje 71
71.

Find the slope of this line:

Slope-Intercept Form

Notes Slope-Intercept Form

Slope-Intercept Form

Slope (m)

y-intercept (b)

>>>Video Link<<<

Obavezno
3
Obavezno
5
Obavezno
5
Obavezno
10
Obavezno
10

Slope Formula

Notes Page 10 Slope Formula

>>>Video Link<<<

Obavezno
10
Pitanje 77
77.

Directions: Find the slope between each pair of points:

(1, 9) and (3, 9)

Obavezno
10
Pitanje 78
78.

Directions: Find the slope between each pair of points:

(-5, 8) and (-7, 5)

Obavezno
10

Graphing Slope-Intercept Form

Notes Graphing Linear Equations--Using Slope-Intercept Form

>>>Video Link<<<

Obavezno
20
Pitanje 80
80.

Use the slope and the y-intercept of each equation to graph the equation.

y=mx+b

y=-2x-2

slope:

y-intercept:

Obavezno
20
Pitanje 81
81.

Use the slope and the y-intercept of each equation to graph the equation.

y=mx+b

slope:

y-intercept:

Obavezno
20

Graphing Using x and y Intercepts

Notes Page Graphing Using x and y Intercepts

>>>Video Link<<<

Obavezno
10
Pitanje 83
83.

What are the x and y-intercepts of this function?

x-intercept

y-intercept

Obavezno
10
Pitanje 84
84.

Use x and y-intercepts of this equation to graph it.

Obavezno
10

Graphing Using Point-Slope Form

Notes Page 11--Point Slope Form

>>>Video Link<<<

Obavezno
10
Pitanje 86
86.

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-

Slope-intercept Form-

Obavezno
10
Pitanje 87
87.

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-

Slope-intercept Form-

Obavezno
10
Pitanje 4
4.

Translate this expression.

“a number increased by nine”

Pitanje 5
5.

Translate this expression.

“the quotient of a twenty and a number”

Solving Equations

Notes Page 4- Solving Equation Basics

^^^^Video link^^^^

Pitanje 20
20.

Match the operation with its inverse.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

inverse of multiplication

arrow_right_alt

subtraction

inverse of addition

arrow_right_alt

addition

inverse of division

arrow_right_alt

division

inverse of subtraction

arrow_right_alt

multiplication

Pitanje 21
21.

Put these operations in the order by which you perform them to simplify an expression. (first to last)

  1. addition

  2. parentheses ( )

  3. multiplication

  4. subtraction

  5. division

  6. exponents

Pitanje 22
22.

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.

Put these operations in the order by which you perform them to solve an equation. (first to last)

  1. multiplication and division

  2. parentheses ( )

  3. addition and subtraction (outside parentheses)

Pitanje 23
23.

Put the steps to solving this equation in the right order.

  1. the result is x=7

  2. divide both sides of the equation by 3

  3. add 7 to both sides of the equation

  4. Before we start solving, we identify the variable a, so we can solve for it the variable

Pitanje 24
24.

Solve this equation.

Pitanje 25
25.

What is the first step to solving this equation?

Pitanje 26
26.

What is the second step to solving this equation?

Pitanje 27
27.

Solve this equation.

17 + 3k = 26

Pitanje 28
28.

Solve this equation.

15h - 9 = - 54

Pitanje 29
29.

Solve this equation.

Pitanje 30
30.

Put the steps in the correct order to solve this multistep equation.

Pitanje 32
32.

Solve this multi-step equation. Show your work (SYW)

Pitanje 33
33.

Put the steps in the correct order to solve this multistep equation.

  1. Simplify like terms to get the equation -7x - 3 = 25

  2. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28

  3. The solution is x = -4

  4. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25

  5. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4

Pitanje 34
34.

Solve this multi-step equation. Show your work (SYW)

Pitanje 35
35.

Solve this multi-step equation. Show your work (SYW)

Solving Proportions

>>>Video Link<<<

Pitanje 38
38.

Cross multiply and fill in each box with the right product.

a.

b.

Pitanje 39
39.

Solve each proportion. Show your work!

Pitanje 40
40.

Solve each proportion. Show your work!

Pitanje 41
41.

Cross multiply and fill in each box with the right product.

a.

b.

Pitanje 42
42.

Solve each proportion. Show your work!

Pitanje 43
43.

Solve each proportion. Show your work!

Pitanje 44
44.

Jasmine bought 1000 robux for $8 with her parents' money. At the same exchange rate, how many robux can Lisa buy if she stole $24 from her parents?

Pitanje 50
50.

Determine whether the given relation is a function. (Function or Not a Function)

Pitanje 51
51.

Determine whether the given relation is a function. (Function or Not a Function)

Pitanje 54
54.

Determine whether the given relation is a function. (Function or Not a Function)

Arithmetic Sequences

Page 8-Arithmetic Sequences

>>>Video Link<<<

Pitanje 59
59.

Find the next three terms of each sequence.

3, 7, 11, 15, , ,

Pitanje 60
60.

Find the next three terms of each sequence.

10, 6, 2, , ,

Pitanje 61
61.

What does f(1) mean?

Pitanje 62
62.

What does f(n) mean?

Pitanje 63
63.

What does d mean?

Pitanje 64
64.

What does n mean?

Pitanje 65
65.

What is the explicit rule of this arithmetic sequence?

Pitanje 66
66.

What is the explicit rule of this arithmetic sequence?

Charlie deposited $300 in a savings account. Each week thereafter, he deposits $35 into the account.

Write a formula to represent this sequence.

How much total money has Charlie

deposited after 30 weeks?

How many weeks would it take to save at up at least $2000

Pitanje 72
72.

Given the slope and y-intercept of the line, write the equation

in slope-intercept form:

slope = 3; y-intercept = -4

Pitanje 73
73.

Write the equation in slope intercept form with the given information:

Pitanje 74
74.

Write the equation in slope intercept form with the given information:

Pitanje 75
75.

Write the equation of this line in slope-intercept form.

Pitanje 76
76.

Write the equation of this line in slope-intercept form.

Pitanje 79
79.

Directions: Find the slope between each pair of points:

(-4, 8) and (-4, 5)

Pitanje 82
82.

Write the equation of of the line represented on the graph.

slope:

y-intercept:

Equation of the line:

Pitanje 85
85.

Use x and y-intercepts of this equation to graph it.

Pitanje 88
88.

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-

Slope-intercept Form-