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Knihovna

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

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Poslední aktualizace 5 months ago
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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

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Otázka 1
1.

Translate this expression.

“eighteen less than a number”

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Otázka 2
2.

Translate this expression.

“the product of a number and six”

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Expressions into Mathematical Phrases

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Otázka 6
6.

Write each expression in words

-12+n

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Otázka 7
7.

Write each expression in words

-2/n

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Otázka 8
8.

Write each expression in words

9x

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Parts of an Expression

Notes Page 1-Parts of an Expression

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Otázka 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?

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Otázka 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^^^^

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Otázka 12
12.

Directions: Simplify each expression.

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Otázka 13
13.

Directions: Simplify each expression.

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Using the Distributive Property

^^^^Video link^^^^

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Otázka 15
15.

Simplify each expression by distributing.

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Otázka 16
16.

Simplify each expression by distributing and combining like terms.

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Otázka 17
17.

Simplify each expression by distributing and combining like terms.

Evaluating Expressions

Notes Page 3-Evaluating Expressions

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Otázka 18
18.

Evaluate each expression using the variable replacements.

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Otázka 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?

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Solving Multi-Step Equations

>>Video Link<<

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Otázka 32
32.

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

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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<<<

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Otázka 36
36.

Solve this equation

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Otázka 37
37.

Solve this equation

10
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Solving Inequalities

Notes Page 9-Solving Inequalities

>>>Video Link<<<

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Otázka 45
45.

Solve and graph the inequality for the given variable.

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Otázka 46
46.

Solve and graph the inequality for the given variable.

Main Idea: Representing Relations and Functions

>>>Video Link<<<

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Otázka 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?

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Otázka 48
48.

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

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Vertical Line Test

Page 7-What are Functions?

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Otázka 52
52.

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

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Otázka 53
53.

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

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Equations as Functions--Graphing by Functions

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Otázka 55
55.

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

Evaluating Expressions and Functions

Notes Page 3 Equations as Functions

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Otázka 56
56.

Evaluate each function for the given value.

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Otázka 57
57.

Evaluate each function for the given value.

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Arithmetic Sequences

Page 8-Arithmetic Sequences

>>>Video Link<<<

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Otázka 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:

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Otázka 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:

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Otázka 69
69.

Finding Slope

Notes Page 9 Rate of Change and Slope

>>>Video Link<<<

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Otázka 70
70.

Find the slope of this line:

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Otázka 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<<<

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Slope Formula

Notes Page 10 Slope Formula

>>>Video Link<<<

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Otázka 77
77.

Directions: Find the slope between each pair of points:

(1, 9) and (3, 9)

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Otázka 78
78.

Directions: Find the slope between each pair of points:

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

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Graphing Slope-Intercept Form

Notes Graphing Linear Equations--Using Slope-Intercept Form

>>>Video Link<<<

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Otázka 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:

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Otázka 81
81.

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

y=mx+b

slope:

y-intercept:

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Graphing Using x and y Intercepts

Notes Page Graphing Using x and y Intercepts

>>>Video Link<<<

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Otázka 83
83.

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

x-intercept

y-intercept

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Otázka 84
84.

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

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Graphing Using Point-Slope Form

Notes Page 11--Point Slope Form

>>>Video Link<<<

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Otázka 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-

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Otázka 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-

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Otázka 3
3.

Translate this expression.

“triple a number”

Otázka 4
4.

Translate this expression.

“a number increased by nine”

Otázka 5
5.

Translate this expression.

“the quotient of a twenty and a number”

Otázka 9
9.

Write each expression in words

3k-14

Otázka 14
14.

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

Solving Equations

Notes Page 4- Solving Equation Basics

^^^^Video link^^^^

Otázka 20
20.

Match the operation with its inverse.

Přetahovatelná položkaarrow_right_altOdpovídající položka

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

Otázka 21
21.

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

  1. subtraction

  2. exponents

  3. multiplication

  4. division

  5. parentheses ( )

  6. addition

Otázka 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. parentheses ( )

  2. addition and subtraction (outside parentheses)

  3. multiplication and division

Otázka 23
23.

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

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

  2. the result is x=7

  3. add 7 to both sides of the equation

  4. divide both sides of the equation by 3

Otázka 24
24.

Solve this equation.

Otázka 25
25.

What is the first step to solving this equation?

Otázka 26
26.

What is the second step to solving this equation?

Otázka 27
27.

Solve this equation.

17 + 3k = 26

Otázka 28
28.

Solve this equation.

15h - 9 = - 54

Otázka 29
29.

Solve this equation.

Otázka 30
30.

Otázka 31
31.

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

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

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

  3. The solution is a = 5

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

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

Otázka 33
33.

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

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

  2. The solution is x = -4

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

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

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

Otázka 34
34.

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

Otázka 35
35.

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

Solving Proportions

>>>Video Link<<<

Otázka 38
38.

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

a.

b.

Otázka 39
39.

Solve each proportion. Show your work!

Otázka 40
40.

Solve each proportion. Show your work!

Otázka 41
41.

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

a.

b.

Otázka 42
42.

Solve each proportion. Show your work!

Otázka 43
43.

Solve each proportion. Show your work!

Otázka 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?

Otázka 49
49.

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

Otázka 50
50.

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

Otázka 51
51.

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

Otázka 54
54.

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

Otázka 58
58.

Evaluate each function for the given value.

Arithmetic Sequences

Page 8-Arithmetic Sequences

>>>Video Link<<<

Otázka 59
59.

Find the next three terms of each sequence.

3, 7, 11, 15, , ,

Otázka 60
60.

Find the next three terms of each sequence.

10, 6, 2, , ,

Otázka 61
61.

What does f(1) mean?

Otázka 62
62.

What does f(n) mean?

Otázka 63
63.

What does d mean?

Otázka 64
64.

What does n mean?

Otázka 65
65.

What is the explicit rule of this arithmetic sequence?

Otázka 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

Otázka 72
72.

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

in slope-intercept form:

slope = 3; y-intercept = -4

Otázka 73
73.

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

Otázka 74
74.

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

Otázka 75
75.

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

Otázka 76
76.

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

Otázka 79
79.

Directions: Find the slope between each pair of points:

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

Otázka 82
82.

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

slope:

y-intercept:

Equation of the line:

Otázka 85
85.

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

Otázka 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-