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1.5 Solving Equations Basics (Original)

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

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.


Complete the entire assignment and show work for full credit.

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

Day 2

Video Notes: Solving 2-step equations


Required
4

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

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


10

Solve this equation.

4b - 5 = -33

10

Solve this equation.

8 + 9c = - 10

10

Solve this equation.

12y + 25 = - 35

10

Solve this equation.

15h - 9 = - 54

10

Solve this equation.

8 - 10x = - 32

10

Solve this equation.

- 16 - 2j = - 34

10

Solve this equation.

10

Solve this equation.

10

Solve this equation.

10

Solve this equation.

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

10

Solve this equation.


10

10

Day 3 9-1-22

Spiral Review

Required
5

Translate this expression.

“eighteen less than a number”

Required
5

Translate this expression.

“twice a number plus four”

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.


Required
10

The expression 6x² gives the surface area of a cube, where x is the length of one side of the cube. Find the surface area of a cube with a side length of 5 meters. (Be sure to use the correct unit in your answer)


Solving Multi-Step Equations

Required
5
Use your notes from page 5 to list the 3 steps you use to solve multi-step equations.

1._______
2._______
3._______
Required
10

Put the steps in the correct order to solve this multistep equation.


  1. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
  2. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  3. The solution is a = 5
  4. Use distribution to multiply (7a+5) by -4 to get -28a - 20
  5. Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Put the steps in the correct order to solve this multistep equation.


  1. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
  2. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
  3. The solution is x = -4
  4. Simplify like terms to get the equation -7x - 3 = 25
  5. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
Required
10

Solve this multi-step equation. Show your work (SYW)

Required
12

Put the steps in the correct order to solve this multistep equation.



  1. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  2. Simplify like terms to get the equation 13k - 6 = 7
  3. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
  4. The solution is k = 1
  5. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
  6. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Solve this multi-step equation. Show your work (SYW)