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

Last updated 12 months ago
42 questions
Note from the author:

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

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

Required
5

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

Required
8

Match the operation with its inverse.

Draggable itemCorresponding Item
inverse of addition
subtraction
inverse of multiplication
addition
inverse of division
division
inverse of subtraction
multiplication
Required
2

What is the first step to solve this equation?

Required
5

Solve this equation.

Required
2

What is the first step to solve this equation?

Required
5

Solve this equation




Required
2

What is the first step to solve this equation?

Required
5

Solve this equation.


Required
6

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

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

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 parentheses)
  2. multiplication and division (outside parentheses)
  3. parentheses ( )
Required
5

Solve this equation




Required
5

Solve this equation




Required
5

Solve this equation




Required
5

Solve this equation




Required
5

Solve this equation




Required
5

Solve this equation




Required
5

Solve this equation




Required
5

Solve this equation




Required
5

Solve this equation




Day 2 8/31/23

Video Notes: Solving 2-step equations


Required
4

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

  1. divide both sides of the equation by 3
  2. Before we start solving, we identify the variable a, so we can solve for it the variable
  3. add 7 to both sides of the equation
  4. the result is x=7
Required
10

Solve this equation.

Required
2

What is the first step to solving this equation?

Required
2

What is the second step to solving this equation?

Required
10

Solve this equation.

Required
10

Solve this equation.

17 + 3k = 26


Required
10

Solve this equation.

4b - 5 = -33


Required
10

Solve this equation.

8 + 9c = - 10


Required
10

Solve this equation.

12y + 25 = - 35


Required
10

Solve this equation.

15h - 9 = - 54


Required
10

Solve this equation.

8 - 10x = - 32


Required
10

Solve this equation.




Required
10

Solve this equation.




Required
10

Solve this equation.



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

Required
10

Solve this equation.




Required
10

Solve this equation.


Required
10

Solve this equation.


Spiral Review

Required
5

Translate this expression.

“eighteen less than a number”

Required
5

Write each expression in words

-4x+13

Required
8

Which words or phrases have the same meaning as multiplication?

Required
10

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

Required
10

Evaluate each expression using the variable replacements.