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

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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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1.

Translate this expression.

“eighteen less than a number”

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2.

Translate this expression.

“the product of a number and six”

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3.

Translate this expression.

“triple a number”

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Expressions into Mathematical Phrases

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6.

Write each expression in words

-12+n

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7.

Write each expression in words

-2/n

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8.

Write each expression in words

9x

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9.

Write each expression in words

3k-14

Parts of an Expression

Notes Page 1-Parts of an Expression

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11.

Simplifying Expressions

^^^^Video link^^^^

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12.

Directions: Simplify each expression.

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13.

Directions: Simplify each expression.

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14.

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

Using the Distributive Property

^^^^Video link^^^^

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15.

Simplify each expression by distributing.

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16.

Simplify each expression by distributing and combining like terms.

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17.

Simplify each expression by distributing and combining like terms.

Evaluating Expressions

Notes Page 3-Evaluating Expressions

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18.

Evaluate each expression using the variable replacements.

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19.
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Solving Multi-Step Equations

>>Video Link<<

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31.

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

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

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

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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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36.

Solve this equation

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37.

Solve this equation

10
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Solving Inequalities

Notes Page 9-Solving Inequalities

>>>Video Link<<<

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45.

Solve and graph the inequality for the given variable.

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46.

Solve and graph the inequality for the given variable.

Main Idea: Representing Relations and Functions

>>>Video Link<<<

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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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48.

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

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49.

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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52.

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

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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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55.

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

Evaluating Expressions and Functions

Notes Page 3 Equations as Functions

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56.

Evaluate each function for the given value.

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57.

Evaluate each function for the given value.

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58.

Evaluate each function for the given value.

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Arithmetic Sequences

Page 8-Arithmetic Sequences

>>>Video Link<<<

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67.
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68.
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69.

Finding Slope

Notes Page 9 Rate of Change and Slope

>>>Video Link<<<

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70.

Find the slope of this line:

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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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73.

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

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Slope Formula

Notes Page 10 Slope Formula

>>>Video Link<<<

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77.

Directions: Find the slope between each pair of points:

(1, 9) and (3, 9)

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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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80.
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81.
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82.

Graphing Using x and y Intercepts

Notes Page Graphing Using x and y Intercepts

>>>Video Link<<<

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83.
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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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86.
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87.
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88.
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4.

Translate this expression.

“a number increased by nine”

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5.

Translate this expression.

“the quotient of a twenty and a number”

Solving Equations

Notes Page 4- Solving Equation Basics

^^^^Video link^^^^

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20.

Match the operation with its inverse.

Draggable itemarrow_right_altCorresponding Item

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

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21.

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

  1. addition

  2. exponents

  3. parentheses ( )

  4. multiplication

  5. subtraction

  6. division

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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

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23.

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

  1. add 7 to both sides of the equation

  2. divide both sides of the equation by 3

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

  4. the result is x=7

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24.

Solve this equation.

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25.

What is the first step to solving this equation?

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26.

What is the second step to solving this equation?

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27.

Solve this equation.

17 + 3k = 26

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28.

Solve this equation.

15h - 9 = - 54

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29.

Solve this equation.

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30.

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

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32.

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

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

  3. The solution is x = -4

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

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

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34.

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

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35.

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

Solving Proportions

>>>Video Link<<<

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38.
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39.

Solve each proportion. Show your work!

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40.

Solve each proportion. Show your work!

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41.
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42.

Solve each proportion. Show your work!

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43.

Solve each proportion. Show your work!

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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?

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50.

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

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51.

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

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54.

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

Arithmetic Sequences

Page 8-Arithmetic Sequences

>>>Video Link<<<

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60.
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61.

What does f(1) mean?

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62.

What does f(n) mean?

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63.

What does d mean?

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64.

What does n mean?

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65.

What is the explicit rule of this arithmetic sequence?

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66.

What is the explicit rule of this arithmetic sequence?

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72.

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

in slope-intercept form:

slope = 3; y-intercept = -4

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74.

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

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75.

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

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76.

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

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79.

Directions: Find the slope between each pair of points:

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

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85.

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