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Laabri

IM 1 Semester 1 Study Guide

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92 Nsɛmmisa

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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Asemmisa {{asɛmmisaAhyɛnsode}}
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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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”

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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

k-14

Simpliying Expressions

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10.

Directions: Simplify each expression.

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11.

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

Parts of an Expression

Notes Page 1-Parts of an Expression

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13.

Evaluating Expressions

Notes Page 2-Evaluating Expressions

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14.

Evaluate each expression using the variable replacements.

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15.

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

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16.

Simplify each expression by distributing.

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17.

Simplify each expression by distributing.

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18.

Simplify each expression by distributing and combining like terms.

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19.

Simplify each expression by distributing and combining like terms.

Solving Equations

Notes Page 4- Solving Equation Basics

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20.

Match the operation with its inverse.

Draggable itemarrow_right_altCorresponding Item

inverse of division

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subtraction

inverse of addition

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addition

inverse of subtraction

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division

inverse of multiplication

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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. parentheses ( )

  2. division

  3. addition

  4. subtraction

  5. exponents

  6. multiplication

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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. divide both sides of the equation by 3

  2. add 7 to both sides of the equation

  3. the result is x=7

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

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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.

Solving Multi-Step Equations

Notes Page 5-Solving Multi-Step Equations

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31.

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

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

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

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

  4. The solution is a = 5

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

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

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

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

  4. The solution is x = -4

  5. Simplify like terms to get the equation -7x - 3 = 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 Equations with Variables on Both Sides of the Equal Sign

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

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36.

Solve this equation

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37.

Solve this equation

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38.
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39.

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

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40.

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

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41.
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42.

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

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43.

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

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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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45.

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

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46.

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

Solving Inequalities

Notes Page 9-Solving Inequalities

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47.

Solve and graph the inequality for the given variable.

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48.

Solve and graph the inequality for the given variable.

Main Idea: Representing Relations and Functions

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49.

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

Relations vs. Functions

Page 11-What are Functions?

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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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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)

Vertical Line Test

Page 11-What are Functions?

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54.

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

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55.

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

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56.

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

Equations as Functions--Graphing by Functions

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57.

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

Evaluating Functions

Notes Page 12 Equations as Functions

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58.

Evaluate each function for the given value.

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

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59.

Evaluate each function for the given value.

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60.

Evaluate each function for the given value.

Arithmetic Sequences

Page 13-Arithmetic Sequences

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62.
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63.

What does f(1) mean?

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64.

What does f(n) mean?

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65.

What does d mean?

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66.

What does n mean?

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67.

What is the explicit rule of this arithmetic sequence?

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68.

What is the explicit rule of this arithmetic sequence?

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Finding Slope

Notes Page 14 Rate of Change and Slope

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77.

Find the slope of this line:

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78.

Find the slope of this line:

Slope-Intercept Form

Notes Page 15 Slope-Intercept Form

Slope-Intercept Form

Slope (m)

y-intercept (b)

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79.

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

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80.

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

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81.

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

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82.

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

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83.

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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84.

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

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85.

Directions: Find the slope between each pair of points:

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

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86.

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

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87.
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88.

Graphing Using x and y Intercepts

Notes Page 19 Graphing Using x and y Intercepts

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89.
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90.
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91.

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

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92.

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

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69.
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70.

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

1, 3, 5, 7, ...

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71.

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

1, 3, 5, 7, ...

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72.
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73.

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

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

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74.

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

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

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75.

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

Write a formula to represent this sequence.

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76.

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?