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

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Last updated about 2 hours ago
88 questions

Day 1 Tuesday (12/5/23)

Mathematical Phrases into Expressions



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Question 1
1.

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Expressions into Mathematical Phrases

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Question 6
6.

Write each expression in words

-12+n

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Parts of an Expression

Notes Page 1-Parts of an Expression


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8
Question 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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Question 11
11.

Simplifying Expressions

^^^^Video link^^^^



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Question 12
12.

Directions: Simplify each expression.

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Using the Distributive Property

^^^^Video link^^^^

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10
Question 15
15.

Simplify each expression by distributing.

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10
Question 16
16.

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Evaluating Expressions

Notes Page 3-Evaluating Expressions

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Question 18
18.

Evaluate each expression using the variable replacements.

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Question 19
19.
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10
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2
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Day 2 Wednesday (12/6/23)

Solving Multi-Step Equations


>>Video Link<<



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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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Question 36
36.

Solve this equation

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Question 37
37.

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Solving Inequalities

Notes Page 9-Solving Inequalities

>>>Video Link<<<




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Question 45
45.

Solve and graph the inequality for the given variable.

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Question 46
46.

Day 3 Thursday (12/7/23)

Main Idea: Representing Relations and Functions


>>>Video Link<<<

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Question 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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Question 48
48.

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5
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Vertical Line Test


Page 7-What are Functions?

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Question 52
52.

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

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5
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Equations as Functions--Graphing by Functions



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Question 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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Question 56
56.

Evaluate each function for the given value.

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Arithmetic Sequences


Page 8-Arithmetic Sequences


>>>Video Link<<<




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Question 67
67.
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Question 68
68.
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Day 4: Friday (12/8/23)

Finding Slope


Notes Page 9 Rate of Change and Slope



>>>Video Link<<<




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5
Question 70
70.

Find the slope of this line:

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5
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3
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Question 73
73.

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

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5
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10
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Slope Formula

Notes Page 10 Slope Formula


>>>Video Link<<<




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10
Question 77
77.

Directions: Find the slope between each pair of points:
(1, 9) and (3, 9)

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Day 5: Monday (12/11/23)

Graphing Slope-Intercept Form


Notes Graphing Linear Equations--Using Slope-Intercept Form


>>>Video Link<<<



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Question 80
80.
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Graphing Using x and y Intercepts

Notes Page Graphing Using x and y Intercepts


>>>Video Link<<<




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Question 83
83.
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Graphing Using Point-Slope Form

Notes Page 11--Point Slope Form


>>>Video Link<<<




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Question 86
86.
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Translate this expression.

“eighteen less than a number”
Question 2
2.

Translate this expression.

“the product of a number and six”

Question 3
3.

Translate this expression.

“triple a number”

Question 4
4.

Translate this expression.

“a number increased by nine”

Question 5
5.

Translate this expression.

“the quotient of a twenty and a number”

Question 7
7.

Write each expression in words

-2/n

Question 8
8.

Write each expression in words

9x

Question 9
9.

Write each expression in words

3k-14



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?
_______
Question 13
13.

Directions: Simplify each expression.

Question 14
14.

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

Simplify each expression by distributing and combining like terms.
Question 17
17.

Simplify each expression by distributing and combining like terms.

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?
_______

Solving Equations


Notes Page 4- Solving Equation Basics

^^^^Video link^^^^




Question 20
20.

Match the operation with its inverse.

Draggable itemarrow_right_altCorresponding Item
inverse of multiplication
arrow_right_alt
subtraction
inverse of division
arrow_right_alt
addition
inverse of addition
arrow_right_alt
arrow_right_alt
Question 21
21.

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

  1. multiplication
  2. exponents
  3. parentheses ( )
  4. subtraction
  5. addition
  6. division
Question 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. addition and subtraction (outside parentheses)
  2. multiplication and division
  3. parentheses ( )
Question 23
23.

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

  1. add 7 to both sides of the equation
  2. Before we start solving, we identify the variable a, so we can solve for it the variable
  3. the result is x=7
  4. divide both sides of the equation by 3
Question 24
24.

Solve this equation.

Question 25
25.

What is the first step to solving this equation?

Question 26
26.

What is the second step to solving this equation?

Question 27
27.

Solve this equation.

17 + 3k = 26

Question 28
28.

Solve this equation.

15h - 9 = - 54

Question 29
29.

Solve this equation.

Question 30
30.

Question 31
31.

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


  1. The solution is a = 5
  2. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
  3. Use distribution to multiply (7a+5) by -4 to get -28a - 20
  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
Question 32
32.

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

Question 33
33.

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

  1. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
  2. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
  3. Simplify like terms to get the equation -7x - 3 = 25
  4. The solution is x = -4
  5. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
Question 34
34.

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

Question 35
35.

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

Solve this equation

Solving Proportions

>>>Video Link<<<



Question 38
38.
Cross multiply and fill in each box with the right product.

a. _______

b. _______
Question 39
39.

Solve each proportion. Show your work!

Question 40
40.

Solve each proportion. Show your work!

Question 41
41.
Cross multiply and fill in each box with the right product.
a. _______

b. _______
Question 42
42.

Solve each proportion. Show your work!

Question 43
43.

Solve each proportion. Show your work!

Question 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?

Solve and graph the inequality for the given variable.
Determine whether the given relation is a function. (Function or Not a Function)
Question 49
49.

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

Question 50
50.

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

Question 51
51.

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

Question 53
53.

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

Question 54
54.

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

Question 57
57.

Evaluate each function for the given value.

Question 58
58.

Evaluate each function for the given value.

Arithmetic Sequences

Page 8-Arithmetic Sequences




>>>Video Link<<<




Question 59
59.
Find the next three terms of each sequence.

3, 7, 11, 15, _______ ,_______ ,_______
Question 60
60.
Find the next three terms of each sequence.

10, 6, 2, _______ ,_______ ,_______
Question 61
61.


What does f(1) mean?

Question 62
62.


What does f(n) mean?

Question 63
63.


What does d mean?

Question 64
64.


What does n mean?

Question 65
65.

What is the explicit rule of this arithmetic sequence?

Question 66
66.

What is the explicit rule of this arithmetic sequence?

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:
_______
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:_______
Question 69
69.
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
_______
Question 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<<<





Question 72
72.

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

slope = 3; y-intercept = -4

Question 74
74.

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

Question 75
75.

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

Question 76
76.

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

Question 78
78.

Directions: Find the slope between each pair of points:
(-5, 8) and (-7, 5)

Question 79
79.

Directions: Find the slope between each pair of points:
(-4, 8) and (-4, 5)

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

y=mx+b

y=-2x-2


slope:
_______
y-intercept:
_______
Question 81
81.
Use the slope and the y-intercept of each equation to graph the equation.

y=mx+b




slope:
_______
y-intercept:
_______
Question 82
82.
Write the equation of of the line represented on the graph.

slope:
_______
y-intercept:
_______

Equation of the line:
_______
What are the x and y-intercepts of this function?

x-intercept
_______

y-intercept
_______
Question 84
84.

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

Question 85
85.

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

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-_______
Question 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-_______
Question 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-_______
division
inverse of subtraction
multiplication