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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 subtraction
addition
inverse of multiplication
division
inverse of division
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. exponents
  2. multiplication
  3. subtraction
  4. division
  5. parentheses ( )
  6. addition
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. multiplication and division (outside parentheses)
  2. parentheses ( )
  3. addition and subtraction (outside 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.