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Unit 1: Study Guide (Due 9/28/22 SoC)

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Last updated about 1 year ago
39 questions
Required
5
Required
5
Required
5
Required
5
Required
10
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10
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10
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10
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10
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10
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10
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4
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10
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2
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2
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10
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10
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10
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10
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10
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10
Required
10
Required
5
Required
10
Required
10
Required
10
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10
10
Required
5
Required
5
Required
10
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10
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10
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10
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10
Required
10

Writing Expressions

Question 1
1.

Translate this expression.

“the difference of 5 times a number and 4"

Question 2
2.

Translate this expression.

“half a number plus four”

Question 3
3.

Translate this expression.

“the sum of four times a number and ten”

Question 4
4.

Translate this expression.

“the difference of six times a number and five”

Simplifying Expressions

Question 5
5.

Directions: Simplify each expression.

Question 6
6.

Simplify each expression by distributing.


Question 7
7.

Simplify each expression by distributing and combining like terms.


Question 8
8.

Directions: Simplify each expression.

Question 9
9.

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

Evaluating Expressions

Question 10
10.

Evaluate each expression using the variable replacements.


Question 11
11.

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.


Solving Equations

Question 12
12.

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

  1. Before we start solving, we identify the variable a, so we can solve for it the variable
  2. divide both sides of the equation by 3
  3. the result is x=7
  4. add 7 to both sides of the equation
Question 13
13.

Solve this equation.


Question 14
14.

What is the first step to solving this equation?

Question 15
15.

What is the second step to solving this equation?

Question 16
16.

Solve this equation.


Question 17
17.

Solve this equation.

4b - 5 = -33


Question 18
18.

Solve this equation.


Day 2 9/27/22

Solving Multi-Step Equations

Question 19
19.

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


  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
Question 20
20.

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

Question 21
21.

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. The solution is x = -4
  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. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
Question 22
22.

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

Solving Equations with Variables on Both Sides

Question 23
23.

What term goes in the boxes?

Question 24
24.

Fill in box 3.

Question 25
25.

Solve this equation

Question 26
26.

Solve this equation

Question 27
27.

Solve this equation

Solving Proportions

Question 28
28.
Cross multiply and fill in each box with the right product.

a. _______

b. _______
Question 29
29.

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


Question 30
30.

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


Question 31
31.
Cross multiply and fill in each box with the right product.
a. _______

b. _______

Question 32
32.

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


Question 33
33.

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


Question 34
34.

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


Literal Equations

Solving Literal Equations

Required
10
Question 35
35.

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

Required
10
Question 36
36.

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

Required
10

Solving and Graphing Inequalities

Question 38
38.

Solve and graph the inequality for the given variable.

Question 39
39.

Solve and graph the inequality for the given variable.

Question 37
37.

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