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Unit 1 part 1: Study Guide (Due 9/25/2024)

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32 questions
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Use this Study Guide to prepare for the upcoming test.


Complete the entire assignment and show work for full credit.


When answering question that require writing, use complete sentences that are in your own words.


This test covers 1.1 through 1.7 and Notes pages 1-4.

Day 1 9/11/25

Writing Expressions

Question 1
1.

Translate this expression into math.

“the difference of 5 times a number and 4"

Question 2
2.

Translate this expression into math.

“half a number plus four”

Question 3
3.

Translate this expression into math.

“the sum of four times a number and ten”

Question 4
4.

Translate this expression into math.

“the difference of six times a number and five”

Question 5
5.

Translate this mathematical expression into an phrase in English.

2x+2

Question 6
6.

Translate this mathematical expression into an phrase in English.
-5y+2

Simplifying Expressions

Question 7
7.

Directions: Simplify each expression.

Question 8
8.

Simplify each expression by distributing.

Question 9
9.

Simplify each expression by distributing and combining like terms.

Question 10
10.

Directions: Simplify each expression.

Question 11
11.

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

Evaluating Expressions

Question 12
12.

Evaluate each expression using the variable replacements.

Question 13
13.

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 14
14.

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

  1. the result is x=7
  2. divide both sides of the equation by 3
  3. add 7 to both sides of the equation
  4. Before we start solving, we identify the variable a, so we can solve for it the variable
Question 15
15.

Solve this equation.

Question 16
16.

Solve this equation.

Solving Multi-Step Equations

Question 17
17.
What the steps to solve a multi-step equation with only variables on one side of the equation? (Page 3 in your notes)

1. _______
2. _______
3. _______
Question 18
18.

After identifying the variable, what is the first step to solving this equation?


Question 19
19.

Solve this equation.

Question 20
20.

Solve this equation.

Question 21
21.

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

Day 2 9/12/25

Solving Multi-Step Equations

Question 22
22.

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

Question 23
23.

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

Question 24
24.

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

Solving Equations with Variables on Both Sides

Question 25
25.
What the steps to solve a multi-step equation with only variables on both sides of the equation? (page 4 in your notes)

1. _______
2. _______
3. _______
4. _______
Question 26
26.

Solve this equation

Question 27
27.

Solve this equation

Question 28
28.

Solve this equation

Question 29
29.

Solve this equation

Question 30
30.

Solve this equation

Question 31
31.

Solve this equation

Question 32
32.

Solve this equation

combining the like terms 7b and -3b