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1.4 Solving Equations Basics (9/13/2024)

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Last updated 10 days ago
27 questions
Note from the author:
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Essential Question: How do we solve algebraic equations with more than 1-step?


Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.


Complete the entire assignment and show work for full credit.

Essential Question: How do we solve algebraic equations with more than 1-step?


Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.


Use your own words and write complete sentences for full credit.


Show your work for full credit.

Solving Equation Basics

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Question 1
1.

Vocabulary: In your own words, what does it mean to isolate a variable?

A.CED.1
A.REI.3
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Question 2
2.

Vocabulary: In your own words, what is an inverse operation?

A.CED.1
A.REI.3
Question 3
3.

Match the operation with its inverse.

Draggable itemarrow_right_altCorresponding Item
inverse of addition
arrow_right_alt
subtraction
inverse of subtraction
arrow_right_alt
addition
inverse of multiplication
arrow_right_alt
arrow_right_alt
Question 4
4.

What is the first step to solve this equation?

Question 5
5.

Solve this equation.

Question 6
6.

What is the first step to solve this equation?

Question 7
7.

Solve this equation.


Question 8
8.

What is the first step to solve this equation?

Question 9
9.

Solve this equation.

Question 10
10.

Put these operations in the order by which you perform them to simplify an expression. (first to last)

  1. addition
  2. multiplication
  3. subtraction
  4. division
  5. exponents
  6. parentheses ( )
Question 11
11.

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. addition and subtraction (outside of parenthesis)
  2. multiplication and division
  3. parentheses ( )

Video Notes: Solving 2-step equations


Question 12
12.

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

  1. divide both sides of the equation by 3
  2. the result is x=7
  3. add 7 to both sides of the equation
Question 13
13.

What is the second step to solving this equation?

Question 14
14.

Solve this equation.

Question 15
15.

Solve this equation.

17 + 3k = 26

Question 16
16.

Solve this equation.

8 + 9c = - 10

Question 17
17.

Solve this equation.

12y + 25 = - 35

Question 18
18.

Solve this equation.

15h - 9 = - 54

Question 19
19.

Solve this equation.

8 - 10x = - 32

Question 20
20.

Solve this equation.

Question 21
21.

Solve this equation.


Question 22
22.

Solve this equation.

Question 23
23.

Solve this equation.

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Question 24
24.

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Question 25
25.

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Question 26
26.

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division
inverse of division
multiplication
Question 27
27.