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Laabri

Unit 1: Study Guide (Due 9/25/2023)

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Last updated 3 months ago
35 Nsɛmmisa

This is the study guide for Unit 1 covering 1.1 through 1.7

Complete the entire document and show your work for full credit.

You may use this on the test.

Day 1 9/22/23

Writing Expressions

Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5

Simplifying Expressions

Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10

Evaluating Expressions

Ɛhia
10
Ɛhia
10

Solving Equations

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4
Ɛhia
10
Ɛhia
2
Ɛhia
2
Ɛhia
10
Ɛhia
10

Day 2 9/23/23

Solving Multi-Step Equations

Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10

Solving Equations with Variables on Both Sides

5
10
Ɛhia
10
Ɛhia
10
Ɛhia
10

Solving and Graphing Inequalities

Ɛhia
10
Ɛhia
10
Ɛhia
10

Solving Proportions

Ɛhia
10
Ɛhia
10

Word Problems involving Proportion

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10

Word Problems involving Equations

Finding Two Numbers

Ɛhia
20

Finding the Perimeter of a Rectangle

Ɛhia
20
Ɛhia
20
Ɛhia
30
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Translate this sentence into a mathematical expression:

“the difference of 5 times a number and 4"

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2.

Translate this sentence into a mathematical expression:

“half a number plus four”

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3.

Translate this expression into English:

4x+10

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4.

Translate this expression into English:

6n-5

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5.

Directions: Simplify this expression.

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6.

Simplify each expression by distributing.

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7.

Directions: Simplify each expression.

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8.

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

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9.

Evaluate each expression using the variable replacements.

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10.

A scientist measures the air temperature in Death Valley, California, and records 45 °C. The expression:

1.8c + 32

gives the temperature in degrees Fahrenheit for a given temperature in degrees Celsius (c). Find the temperature in degrees Fahrenheit that is equivalent to 45 °C.

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11.

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

  1. the result is x=7

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

  3. divide both sides of the equation by 3

  4. add 7 to both sides of the equation

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12.

Solve this equation.

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13.

What is the first step to solving this equation?

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14.

What is the second step to solving this equation?

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15.

Solve this equation.

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16.

Solve this equation.

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17.

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

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

  4. The solution is a = 5

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

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18.

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

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19.

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. 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. The solution is x = -4

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20.

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

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21.

What term goes in the boxes?

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22.

Fill in box 3.

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23.

Solve this equation

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24.

Solve this equation

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25.

Solve this equation

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26.

Solve and graph the inequality for the given variable.

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27.

Solve and graph the inequality for the given variable.

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28.

Solve and graph the inequality for the given variable.

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29.

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

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30.

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

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31.

Jasmine bought 2000 robux for $16 with her parents' money. At the same exchange rate, how many robux can Lisa buy if she stole $32 from her parents?

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32.
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33.

Finding Consecutive Numbers

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34.
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35.