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Unit 1: Study Guide (Due 10/14/24)

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Last updated 10 days ago
32 questions
20
20
Required
5
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5
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5
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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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10
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4
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10
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10
Required
4
Required
10
Required
10
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10
Required
5
Required
10
Required
10
Required
10
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10
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4
Required
4
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6
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20
10
10

Writing and Solving Equations

Question 1
1.
Translate this equation. (Use 'x' as your variable.)

“the difference of 5 times a number and 4 is the same as negative 16"
_______

Solve the equation you created
x=_______
Question 2
2.
Translate this equation. (Use 'x' as your variable.)

“half a number plus four is eight”
_______

Solve the equation you created
x=_______
Question 3
3.

Translate this expression.

“half a number plus four”

Question 4
4.

Translate this expression.

“the sum of four times a number and ten”

Question 5
5.

Translate this expression.

“the difference of six times a number and five”

Simplifying Expressions

Question 6
6.

Directions: Simplify each expression.

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 47 °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. Round your answer to the nearest whole degree.


Solving Equations

Question 12
12.

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
Question 13
13.

Solve this equation.


Question 14
14.

Solve this equation.


Day 2 9/27/22

Solving Multi-Step Equations

Question 15
15.

What is the correct order to solve multi-step equations?

  1. Simplify parenthesis
  2. Combine like terms on both sides of the equation
  3. Bring all the terms with variables to the same side of the equation
  4. Use SADMEP to solve the equation
Question 16
16.

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

Question 17
17.

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

Solving Equations with Variables on Both Sides

Question 18
18.

What is the correct order to solve multi-step equations?

  1. Bring all the terms with variables to the same side of the equation
  2. Simplify parenthesis
  3. Combine like terms on both sides of the equation
  4. Use SADMEP to solve the equation
Question 19
19.

Solve this equation

Question 20
20.

Solve this equation

Question 21
21.

Solve this equation

Solving Proportions

Question 22
22.

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


Question 23
23.

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


Question 24
24.

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


Solving and Graphing Inequalities

Question 25
25.

Solve and graph the inequality for the given variable.

Question 26
26.

Solve and graph the inequality for the given variable.

Translating and Solving Word Problems

Question 27
27.

Which word(s) mean equals?

The Buffalo Bills scored 24 more than twice the number of points that the Miami Dolphins
scored. Altogether, the teams scored 66 points. How many points did each team score
individually?
Question 28
28.

Which word(s) mean addition?

The Buffalo Bills scored 24 more than twice the number of points that the Miami Dolphins
scored. Altogether, the teams scored 66 points. How many points did each team score
individually?
Question 29
29.

Which word(s) describe the unknowns or your variables for the problem?

The Buffalo Bills scored 24 more than twice the number of points that the Miami Dolphins
scored. Altogether, the teams scored 66 points. How many points did each team score
individually?
Question 30
30.

Finding Two Numbers

Solve the word problem and define your answer.

The number of point scoreds by the Miami Dolphins=_______
The number of points scored by the Buffalo Bills=_______
Question 31
31.

Finding Perimeter

Solve the word problem and define your answer.

Length=_______ inches
Width=_______ inches
Question 32
32.

Finding Consecutive Numbers


Solve the word problem and define your answer.

First odd number=_______
Second odd number=_______
Third odd number=_______