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Biblioteka

IM 1 Semester 1 Study Guide

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Posljednje ažuriranje 3 months ago
93 questions

Day 1 and 2: Unit 1 Quantities and Modeling

Mathematical Phrases into Expressions

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Expressions into Mathematical Phrases

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Solving Proportions

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Solving Literal Equations

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Day 3: Unit 2 Understanding Functions

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Day 4: Unit 3 Linear Equations

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Pitanje 1
1.

Translate this expression.

“eighteen less than a number”

Pitanje 2
2.

Translate this expression.

“the product of a number and six”

Pitanje 3
3.

Translate this expression.

“triple a number”

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”

Pitanje 6
6.

Write each expression in words

-12+n

Pitanje 7
7.

Write each expression in words

-2/n

Pitanje 8
8.

Write each expression in words

9x

Pitanje 9
9.

Write each expression in words

k-14

Simplifying Expressions

Pitanje 10
10.

Directions: Simplify each expression.

Pitanje 11
11.

Directions: Simplify each expression.

Pitanje 12
12.

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

Parts of an Expression

Notes Page 1-Parts of an Expression

Pitanje 13
13.
Pitanje 14
14.

Evaluating Expressions

Notes Page 2-Evaluating Expressions

Pitanje 15
15.

Evaluate each expression using the variable replacements.

Pitanje 16
16.

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.

Using Distributive Property

Pitanje 17
17.

Simplify each expression by distributing.

Pitanje 18
18.

Simplify each expression by distributing.

Pitanje 19
19.

Simplify each expression by distributing and combining like terms.

Pitanje 20
20.

Simplify each expression by distributing and combining like terms.

Solving Equations

Notes Page 4- Solving Equation Basics

Pitanje 21
21.

Match the operation with its inverse.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

inverse of multiplication

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subtraction

inverse of division

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addition

inverse of subtraction

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division

inverse of addition

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multiplication

Pitanje 22
22.

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

  1. parentheses ( )

  2. division

  3. multiplication

  4. addition

  5. exponents

  6. subtraction

Pitanje 23
23.

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 ( )

Pitanje 24
24.

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

  1. divide both sides of the equation by 3

  2. the result is x=7

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

  4. add 7 to both sides of the equation

Pitanje 25
25.

Solve this equation.

Pitanje 26
26.

What is the first step to solving this equation?

Pitanje 27
27.

What is the second step to solving this equation?

Pitanje 28
28.

Solve this equation.

17 + 3k = 26

Pitanje 29
29.

Solve this equation.

15h - 9 = - 54

Pitanje 30
30.

Solve this equation.

Pitanje 31
31.

Solving Multi-Step Equations

Notes Page 5-Solving Multi-Step Equations

Pitanje 32
32.

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. 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

Pitanje 33
33.

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

Pitanje 34
34.

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

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

  4. The solution is x = -4

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

Pitanje 35
35.

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

Pitanje 36
36.

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

Solving Equations with Variables on Both Sides of the Equal Sign

Notes Page 6: Solving Equations with Variables on Both Sides of the Equal Sign

Pitanje 37
37.

Solve this equation

Pitanje 38
38.

Solve this equation

Pitanje 39
39.
Pitanje 40
40.

Solve each proportion. Show your work! Or suffer the consequences...

Pitanje 41
41.

Solve each proportion. Show your work! Or suffer the consequences...

Pitanje 42
42.
Pitanje 43
43.

Solve each proportion. Show your work! Or suffer the consequences...

Pitanje 44
44.

Solve each proportion. Show your work! Or suffer the consequences...

Pitanje 45
45.

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 46
46.

Directions: Solve this equation for the specific letter. SHOW ALL STEPS!

Pitanje 47
47.

Directions: Solve this equation for the specific letter. SHOW ALL STEPS!

Solving Inequalities

Notes Page 9-Solving Inequalities

Pitanje 48
48.

Solve and graph the inequality for the given variable.

Pitanje 49
49.

Solve and graph the inequality for the given variable.

Main Idea: Representing Relations and Functions

Pitanje 50
50.

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

Relations vs. Functions

Page 11-What are Functions?

Pitanje 51
51.

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

Pitanje 52
52.

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

Pitanje 53
53.

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)

Vertical Line Test

Page 11-What are Functions?

Pitanje 55
55.

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

Pitanje 56
56.

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

Pitanje 57
57.

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

Equations as Functions--Graphing by Functions

Pitanje 58
58.

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

Evaluating Functions

Notes Page 12 Equations as Functions

Pitanje 59
59.

Evaluate each function for the given value.

For questions 60 and 61, use the functions to the left.

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Pitanje 60
60.

Evaluate each function for the given value.

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Pitanje 61
61.

Evaluate each function for the given value.

Arithmetic Sequences

Page 13-Arithmetic Sequences

Pitanje 62
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Pitanje 63
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Pitanje 64
64.

What does f(1) mean?

Pitanje 65
65.

What does f(n) mean?

Pitanje 66
66.

What does d mean?

Pitanje 67
67.

What does n mean?

Pitanje 68
68.

What is the explicit rule of this arithmetic sequence?

Pitanje 69
69.

What is the explicit rule of this arithmetic sequence?

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Finding Slope

Notes Page 14 Rate of Change and Slope

Pitanje 78
78.

Find the slope of this line:

Pitanje 79
79.

Find the slope of this line:

Slope-Intercept Form

Notes Page 15 Slope-Intercept Form

Slope-Intercept Form

Slope (m)

y-intercept (b)

Pitanje 80
80.

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

Pitanje 81
81.

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

Pitanje 82
82.

Write the equation of this line in slope-intercept form. (10pts)

Pitanje 83
83.

Write the equation of this line in slope-intercept form. (10pts)

Pitanje 84
84.

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

in slope-intercept form:

slope = 3; y-intercept = -4

Pitanje 85
85.

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

in slope-intercept form:

slope = -3/2; y-intercept = 7

Slope Formula

Notes Page 16 Slope Formula

Pitanje 86
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Directions: Find the slope between each pair of points:

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

Pitanje 87
87.

Directions: Find the slope between each pair of points:

(1, 3) and (3, 9)

Graphing Slope-Intercept Form

Page 17 Graphing Linear Equations--Using Slope-Intercept Form

Pitanje 88
88.
Pitanje 89
89.

Graphing Using x and y Intercepts

Notes Page 19 Graphing Using x and y Intercepts

Pitanje 90
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Pitanje 91
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Pitanje 92
92.

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

Pitanje 93
93.

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

Pitanje 70
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Pitanje 71
71.

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

1, 3, 5, 7, ...

Pitanje 72
72.

Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:

1, 3, 5, 7, ...

Pitanje 73
73.
Pitanje 74
74.

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

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

Pitanje 75
75.

Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:

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

Pitanje 76
76.

Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account.

Write a formula to represent this sequence.

Pitanje 77
77.

Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account.

How much total money has Charlie

deposited after 30 weeks?