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1.4 Solving Equations Basics (Due 9-1-23 SOC)

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42 questions
Note from the author:
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Essential Question: How do we solve algebraic equations using opposite operations?


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 using opposite operations?


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.

Day 1 8/30/23

Opposite Operations and Solving Equations

Required
5
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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5
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.

Question 9
9.

Solve this equation.


Question 10
10.

Question 11
11.

Question 12
12.

Solve this equation




Question 13
13.

Solve this equation




Question 14
14.

Solve this equation




Question 15
15.

Solve this equation




Question 16
16.

Solve this equation




Question 17
17.

Solve this equation




Question 18
18.

Solve this equation




Question 19
19.

Solve this equation




Question 20
20.

Solve this equation




Day 2 8/31/23

Video Notes: Solving 2-step equations


Question 21
21.

Question 22
22.

Solve this equation.

Question 23
23.

Question 24
24.

Question 25
25.

Solve this equation.

Question 26
26.

Solve this equation.

17 + 3k = 26


Question 27
27.

Solve this equation.

4b - 5 = -33


Question 28
28.

Solve this equation.

8 + 9c = - 10


Question 29
29.

Solve this equation.

12y + 25 = - 35


Question 30
30.

Solve this equation.

15h - 9 = - 54


Question 31
31.

Solve this equation.

8 - 10x = - 32


Question 32
32.

Solve this equation.




Question 33
33.

Solve this equation.




Question 34
34.

Solve this equation.



The examples below are different in that the multiplication/division is done FIRST, followed by the addition/subtraction.

Question 35
35.

Solve this equation.




Question 36
36.

Solve this equation.


Question 37
37.

Solve this equation.


Spiral Review

Question 38
38.

Translate this expression.

“eighteen less than a number”

Question 39
39.

Write each expression in words

-4x+13

Question 40
40.

Question 41
41.

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

Question 42
42.

Evaluate each expression using the variable replacements.


Match the operation with its inverse.
inverse of subtraction
subtraction
inverse of multiplication
addition
inverse of division
division
inverse of addition
multiplication
What is the first step to solve this equation?
add 8 to both sides of the equation
subtract 8 to both sides of the equation
add 14 to both sides of the equation
subtract 14 to both sides of the equation
What is the first step to solve this equation?
multiply both sides by 15
multiply both sides by 10
divide both sides by 15
divide both sides by 10
What is the first step to solve this equation?
multiply both sides by 3
multiply both sides by 19
divide both sides by 3
divide both sides by 19
Put these operations in the order by which you perform them to simplify an expression. (first to last)
addition
multiplication
parentheses ( )
subtraction
exponents
division
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)
addition and subtraction (outside parentheses)
multiplication and division (outside parentheses)
parentheses ( )
Put the steps to solving this equation in the right order.
divide both sides of the equation by 3
Before we start solving, we identify the variable a, so we can solve for it the variable
add 7 to both sides of the equation
the result is x=7
What is the first step to solving this equation?

subtracting both sides of the equation by 11
multiplying both sides of the equation by 4
subtraction both sides of the equation by 3
dividing both sides of the equation by 4
What is the second step to solving this equation?
subtracting both sides of the equation by 11
subtraction both sides of the equation by 3
multiplying both sides of the equation by 4
dividing both sides of the equation by 4
Which words or phrases have the same meaning as multiplication?
of
divide
product
total
minus
plus
times
___ groups of ___
more than
together
less than