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Transcript

  • 1.
    • Tutorial:
    • Solving Multi-Step
    • Equations
    Click here to begin
  • 2.
    • By the end of this tutorial, you will be able to:
    • Define the terms equation , coefficient , constant , inverse operation , and variable
    • 2. Solve a multi-step equation with one variable
  • 3.
    • Variable
    • A variable is a letter used to represent a missing or unknown number in an equation.
    • Example A: 2 x + 5 = 7
    • Example B: -5 n – 20 = 5
    variable variable
  • 4.
    • Equation
    • An equation is a statement formed by placing an equal sign between two expressions
    • Example A: 2 x + 5 = 7
    • Example B: 4 x = 20
    • Example C:
    • Non-Example A: 25n
    • Non-Example B: 2x 2 + 3x + 7
  • 5.
    • Coefficient
    • A coefficient is the term that multiplies the variable in an expression or equation.
    • Example A: 2 x + 5 = 7
    • Example B: -5 n – 20 = 5
    coefficient coefficient
  • 6.
    • Constant
    • A constant is the term in an equation that stands alongside the variable and its coefficient.
    • Example A: 2 x + 5 = 7
    • Example B: -5 n – 20 = 5
    constant constant
  • 7.
    • Inverse Operation
    • An inverse operation is the opposite operation in an equation that allows isolation.
    • Example A: 2 x + 5 = 7
    • Example B: 5 n = 5
    Subtracting 5 is the inverse operation Dividing by 5 is the inverse operation
  • 8.
    • Practice: What you’ve learned
    • Now that we’ve gone over important vocabulary words, let’s see what you’ve learned. Click the appropriate letter to answer each question
    • 1. Which of the following is an equation:
    • 2n
    • 2n + 7
    • 2n + 7 = 15
    • None of these
    A B D C
  • 9.
    • Practice: What you’ve learned
    • Now that we’ve gone over important vocabulary words, let’s see what you’ve learned. Click the appropriate letter to answer each question
    • 1. Which of the following is an equation:
    • 2n
    • 2n + 7
    • 2n + 7 = 15
    • None of these
    A B D C This is an expression. Click here to go back and try again.
  • 10.
    • Practice: What you’ve learned
    • Now that we’ve gone over important vocabulary words, let’s see what you’ve learned. Click the appropriate letter to answer each question
    • 1. Which of the following is an equation:
    • 2n
    • 2n + 7
    • 2n + 7 = 15
    • None of these
    A B D C This is an expression. Click here to go back and try again
  • 11.
    • Practice: What you’ve learned
    • Now that we’ve gone over important vocabulary words, let’s see what you’ve learned. Click the appropriate letter to answer each question
    • 1. Which of the following is an equation:
    • 2n
    • 2n + 7
    • 2n + 7 = 15
    • None of these
    A B D C Correct! Next Question
  • 12.
    • Practice: What you’ve learned
    • Now that we’ve gone over important vocabulary words, let’s see what you’ve learned. Click the appropriate letter to answer each question
    • 1. Which of the following is an equation:
    • 2n
    • 2n + 7
    • 2n + 7 = 15
    • None of these
    A B D C Click here to go back and try again
  • 13.
    • 2. A variable is a letter that represents:
    • a number
    • a fraction
    • an unknown number
    • None of these
    A B D C
  • 14.
    • 2. A variable is a letter that represents:
    • a number
    • a fraction
    • an unknown number
    • None of these
    A B D C Not just a number. Click here to go back and try again
  • 15.
    • 2. A variable is a letter that represents:
    • a number
    • a fraction
    • an unknown number
    • None of these
    A B D C It can be a fraction, but be more specific. Click here to go back and try again
  • 16.
    • 2. A variable is a letter that represents:
    • a number
    • a fraction
    • an unknown number
    • None of these
    A B D C Correct! Next Question
  • 17.
    • 2. A variable is a letter that represents:
    • a number
    • a fraction
    • an unknown number
    • None of these
    A B D C Click here to go back and try again
  • 18.
    • 3. What is the inverse operation of + 7:
    • divide by 7
    • subtract 7
    • multiply by 7
    • None of these
    A B D C
  • 19.
    • 3. What is the inverse operation of + 7:
    • divide by 7
    • subtract 7
    • multiply by 7
    • None of these
    A B D C An inverse operation is the opposite operation. Click here to go back and try again
  • 20.
    • 3. What is the inverse operation of + 7:
    • divide by 7
    • subtract 7
    • multiply by 7
    • None of these
    A B D C Correct Next Question
  • 21.
    • 3. What is the inverse operation of + 7:
    • divide by 7
    • subtract 7
    • multiply by 7
    • None of these
    A B D C An inverse operation is the opposite operation. Click here to go back and try again
  • 22.
    • 3. What is the inverse operation of + 7:
    • divide by 7
    • subtract 7
    • multiply by 7
    • None of these
    A B D C Click here to go back and try again
  • 23.
    • 4. Identify the coefficient in the equation 3n – 12 = 80:
    • 3
    • n
    • 12
    • None of these
    A B D C
  • 24.
    • 4. Identify the coefficient in the equation 3n – 12 = 80:
    • 3
    • n
    • 12
    • None of these
    A B D C Correct Continue Tutorial
  • 25.
    • 4. Identify the coefficient in the equation 3n – 12 = 80:
    • 3
    • n
    • 12
    • None of these
    A B D C This is a variable. Click here to go back and try again.
  • 26.
    • 4. Identify the coefficient in the equation 3n – 12 = 80:
    • 3
    • n
    • 12
    • None of these
    A B D C This is the constant. Click here to go back and try again
  • 27.
    • 4. Identify the coefficient in the equation 3n – 12 = 80:
    • 3
    • n
    • 12
    • None of these
    A B D C Click here to go back and try again
  • 28.
    • How to solve a multi-step equation with one variable
    • We will now go through the step-by-step procedure in solving a multi-step equation using the example 2x + 7 = 15
  • 29.
    • 2x + 7 = 15
    • - 7 - 7
    • First, eliminate the constant by finding its inverse operation . The equation needs to be balanced so if you subtract 7 on one side of the equal sign, you must do the same on the other side of the equal sign.
  • 30.
    • 2x + 7 = 15
    • - 7 - 7
    • 2x = 8
    • +7 and -7 cancel out and you are left with the equation 2x = 8
  • 31.
    • 2x = 8
    • 2 2
    • From here you must isolate x by eliminating the coefficient of 2 through its inverse operation. Once again, the equation needs to be balanced. If you divide by 2 on one side of the equal sign, you must do the same on the other side of the equal sign.
  • 32.
    • 2x = 8
    • 2 2
    • The 2’s on the left side of the equation cancel out which isolates x and leaves or
    • 8 ÷ 2, resulting in x = 4
    • .
  • 33.
    • Congratulations!
    • You have just completed this tutorial. You should now have the confidence to solve a multi-step equation.
    • Click to take the quiz.
    here
  • 34.
    • 1. What is the term that stands alongside the variable and coefficient?
    • the inverse operation
    • a fraction
    • the constant
    • None of these
    A B D C
  • 35.
    • 1. What is the term that stands alongside the variable and coefficient?
    • the inverse operation
    • a fraction
    • the constant
    • None of these
    A B D C This is the opposite operation within the equation. Click here to go back and try again
  • 36.
    • 1. What is the term that stands alongside the variable and coefficient?
    • the inverse operation
    • a fraction
    • the constant
    • None of these
    A B D C It can be a fraction, but be more specific. Click here to go back and try again
  • 37.
    • 1. What is the term that stands alongside the variable and coefficient?
    • the inverse operation
    • a fraction
    • the constant
    • None of these
    A B D C Correct! Click here for the next question
  • 38.
    • 1. What is the term that stands alongside the variable and coefficient?
    • the inverse operation
    • a fraction
    • the constant
    • None of these
    A B D C Click here to go back and try again
  • 39.
    • 2. What is the term that multiplies the variable?
    • the equation
    • the coefficient
    • the constant
    • None of these
    A B D C
  • 40.
    • 2. What is the term that multiplies the variable?
    • the equation
    • the coefficient
    • the constant
    • None of these
    A B D C This is an expression set equal to a solution.Click here to go back and try again
  • 41.
    • 2. What is the term that multiplies the variable?
    • the equation
    • the coefficient
    • the constant
    • None of these
    A B D C Correct! Click here for the next question
  • 42.
    • 2. What is the term that multiplies the variable?
    • the equation
    • the coefficient
    • the constant
    • None of these
    A B D C This is the term that stands alongside the variable and coefficient. Click here to go back and try again
  • 43.
    • 2. What is the term that multiplies the variable?
    • the equation
    • the coefficient
    • the constant
    • None of these
    A B D C Click here to go back and try again
  • 44.
    • 3. What is the unknown number in any equation?
    • the variable
    • the constant
    • the coefficient
    • None of these
    A B D C
  • 45.
    • 3. What is the unknown number in any equation?
    • the variable
    • the constant
    • the coefficient
    • None of these
    A B D C Correct! Click here for the next question
  • 46.
    • 3. What is the unknown number in any equation?
    • the variable
    • the constant
    • the coefficient
    • None of these
    A B D C This is the term that stands alongside the variable and coefficient. Click here to go back and try again
  • 47.
    • 3. What is the unknown number in any equation?
    • the variable
    • the constant
    • the coefficient
    • None of these
    A B D C This is the term that multiplies the variable. Click here to go back and try again
  • 48.
    • 3. What is the unknown number in any equation?
    • the variable
    • the constant
    • the coefficient
    • None of these
    A B D C Click here to go back and try again
  • 49.
    • 4. What is the first step in solving the equation: 2y + 5 = 1
    • eliminate the coefficient
    • 2 through division
    • eliminate 1 through
    • its inverse operation
    • eliminate the constant 5
    • through its inverse operation
    • guess and check by
    • plugging in values for x
    A B D C
  • 50.
    • 4. What is the first step in solving the equation: 2y + 5 = 1
    • eliminate the coefficient
    • 2 through division
    • eliminate 1 through
    • its inverse operation
    • eliminate the constant 5
    • through its inverse operation
    • guess and check by
    • plugging in values for x
    A B D C This is the following step. Click here to go back and try again
  • 51.
    • 4. What is the first step in solving the equation: 2y + 5 = 1
    • eliminate the coefficient
    • 2 through division
    • eliminate 1 through
    • its inverse operation
    • eliminate the constant 5
    • through its inverse operation
    • guess and check by
    • plugging in values for x
    A B D C Eliminating 1 would make the equation unbalanced. Click here to go back and try again
  • 52.
    • 4. What is the first step in solving the equation: 2y + 5 = 1
    • eliminate the coefficient
    • 2 through division
    • eliminate 1 through
    • its inverse operation
    • eliminate the constant 5
    • through its inverse operation
    • guess and check by
    • plugging in values for x
    A B D C Correct! Click here for the next question.
  • 53.
    • 4. What is the first step in solving the equation: 2y + 5 = 1
    • eliminate the coefficient
    • 2 through division
    • eliminate 1 through
    • its inverse operation
    • eliminate the constant 5
    • through its inverse operation
    • guess and check by
    • plugging in values for x
    A B D C You can do this, but it may take a long period of time. Click here to go back and try again
  • 54.
    • 5. Solve for the variable: 3g – 1 = 8
    • 3g = 6
    • g = 3
    • g = 9/3
    • None of these
    A B D C
  • 55.
    • 5. Solve for the variable: 3g – 1 = 8
    • 3g = 6
    • g = 3
    • g = 9/3
    • None of these
    A B D C The variable g must be isolated Click here to go back and try again
  • 56.
    • 5. Solve for the variable: 3g – 1 = 8
    • 3g = 6
    • g = 3
    • g = 9/3
    • None of these
    A B D C Correct! Click here for the next question.
  • 57.
    • 5. Solve for the variable: 3g – 1 = 8
    • 3g = 6
    • g = 3
    • g = 9/3
    • None of these
    A B D C You’re almost there. 9/3 must be simplified. Click here to go back and try again
  • 58.
    • 5. Solve for the variable: 3g – 1 = 8
    • 3g = 6
    • g = 3
    • g = 9/3
    • None of these
    A B D C Click here to go back and try again
  • 59.
    • 6. Solve for the variable: 2x + 5 = 15
    • x = 10/2
    • x = -5
    • x = 5
    • None of these
    A B D C
  • 60.
    • 6. Solve for the variable: 2x + 5 = 15
    • x = 10/2
    • x = -5
    • x = 5
    • None of these
    A B D C You’re almost there. 10/2 must be simplified. Click here to go back and try again
  • 61.
    • 6. Solve for the variable: 2x + 5 = 15
    • x = 10/2
    • x = -5
    • x = 5
    • None of these
    A B D C Not quite. The solution is opposite in sign. Click here to go back and try again
  • 62.
    • 6. Solve for the variable: 2x + 5 = 15
    • x = 10/2
    • x = -5
    • x = 5
    • None of these
    A B D C Correct! Click here for the next question
  • 63.
    • 6. Solve for the variable: 2x + 5 = 15
    • x = 10/2
    • x = -5
    • x = 5
    • None of these
    A B D C Click here to go back and try again
  • 64.
    • 7. Solve for the variable: 3y + 5 = 11
    • y = 2
    • 3y = 6
    • y = 6/3
    • None of these
    A B D C
  • 65.
    • 7. Solve for the variable: 3y + 5 = 11
    • y = 2
    • 3y = 6
    • y = 6/3
    • None of these
    A B D C Correct! Click here for the next question
  • 66.
    • 7. Solve for the variable: 3y + 5 = 11
    • y = 2
    • 3y = 6
    • y = 6/3
    • None of these
    A B D C You need to isolate the variable y. Click here to go back and try again
  • 67.
    • 7. Solve for the variable: 3y + 5 = 11
    • y = 2
    • 3y = 6
    • y = 6/3
    • None of these
    A B D C You’re almost there. 6/3 must be simplified. Click here to go back and try again
  • 68.
    • 7. Solve for the variable: 3y + 5 = 11
    • y = 2
    • 3y = 6
    • y = 6/3
    • None of these
    A B D C Click here to go back and try again
  • 69.
    • 8. Solve for the variable: 7t – 9 = 19
    • t = -28
    • t = 4
    • t = 28/7
    • None of these
    A B D C
  • 70.
    • 8. Solve for the variable: 7t – 9 = 19
    • t = -28
    • t = 4
    • t = 28/7
    • None of these
    A B D C Check your calculations. Click here to go back and try again
  • 71.
    • 8. Solve for the variable: 7t – 9 = 19
    • t = -28
    • t = 4
    • t = 28/7
    • None of these
    A B D C Correct! Click here for results.
  • 72.
    • 8. Solve for the variable: 7t – 9 = 19
    • t = -28
    • t = 4
    • t = 28/7
    • None of these
    A B D C You’re almost there. 28/7 must be simplified. Click here to go back and try again
  • 73.
    • 8. Solve for the variable: 7t – 9 = 19
    • t = -28
    • t = 4
    • t = 28/7
    • None of these
    A B D C Click here to go back and try again
  • 74.
    • Find your percentage by dividing the total correct by the total number of questions.
    8/8 = A+ 6/8 = C 5/8 = D 7/8 = B 4/8 & Below = F