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1.4 Solving Equations Basics (9/13/2024)

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Last updated about 2 months 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.

Draggable itemarrow_right_altCorresponding Item
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Question 4
4.

Question 5
5.

Solve this equation.

Question 6
6.

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.

Question 11
11.

Video Notes: Solving 2-step equations


Question 12
12.

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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Match the operation with its inverse.
inverse of multiplication
subtraction
inverse of addition
addition
inverse of division
division
inverse of subtraction
multiplication
What is the first step to solve this equation?
subtract 8 to both sides of the equation
subtract 14 to both sides of the equation
add 8 to both sides of the equation
add 14 to both sides of the equation
What is the first step to solve this equation?
multiply both sides by 15
divide both sides by 15
multiply both sides by 10
divide both sides by 10
Put these operations in the order by which you perform them to simplify an expression. (first to last)
division
subtraction
multiplication
exponents
parentheses ( )
addition
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)
multiplication and division
parentheses ( )
addition and subtraction (outside of parenthesis)
Put the steps to solving this equation in the right order.
add 7 to both sides of the equation
divide both sides of the equation by 3
the result is x=7
Question 27
27.