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    Envision 6-04-02 AP AK

    Uploaded by

    Mohamed Magdy
    This document provides a practice tutorial on the properties of equality. It contains 18 multiple choice and constructed response questions about identifying and applying the properties of equality, including the addition, subtraction, multiplication, and division properties. Students are asked to determine if equations are balanced, identify errors in reasoning, write equations to model word problems, and determine if equations are equivalent using the properties of equality.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Envision 6-04-02 AP AK

    Uploaded by

    Mohamed Magdy
    78 views2 pages
    This document provides a practice tutorial on the properties of equality. It contains 18 multiple choice and constructed response questions about identifying and applying the properties of equality, including the addition, subtraction, multiplication, and division properties. Students are asked to determine if equations are balanced, identify errors in reasoning, write equations to model word problems, and determine if equations are equivalent using the properties of equality.

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    This document provides a practice tutorial on the properties of equality. It contains 18 multiple choice and constructed response questions about identifying and applying the properties of equality, including the addition, subtraction, multiplication, and division properties. Students are asked to determine if equations are balanced, identify errors in reasoning, write equations to model word problems, and determine if equations are equivalent using the properties of equality.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    78 views2 pages

    Envision 6-04-02 AP AK

    Uploaded by

    Mohamed Magdy
    This document provides a practice tutorial on the properties of equality. It contains 18 multiple choice and constructed response questions about identifying and applying the properties of equality, including the addition, subtraction, multiplication, and division properties. Students are asked to determine if equations are balanced, identify errors in reasoning, write equations to model word problems, and determine if equations are equivalent using the properties of equality.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
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    PRACTICE TUTORIAL

    Name:

    4-2  Additional Practice Scan for


    Multimedia
    In 1–6, tell which property of equality was used.

    49 = 245
    1.      v 2.             14 + s = 28
    ( )
    49 × 65 = 245
    v × 65
    (14 + s) - 2 = 28 - 2

    Multiplication Property of Subtraction Property of Equality


    Equality

    3.         4y = 48 4.          88 = 33 + 5x
    4y , 4 = 48 , 4 88 - 33 = (33 + 5x) - 33

    Division Property of Equality Subtraction Property of Equality

    5.           d - 33 = 34 6.          3m + 14 = 19
    d - 33 + 33 = 34 + (30 + 3) 3m + 14 - 14 = 19 - (19 - 5)

    Addition Property of Equality Subtraction Property of Equality

    In 7–12, answer yes or no and explain why or why not.

    7. If 10 × 3 = 30, does 10 × 3 + 4 = 30 + 5? 8. If 8n = 180, does 8n , 8 = 180 , 8?


    No; A different number is added Yes; Each side is divided by the
    to each side. same number.

    9. If d , 3 = 10, does d , 3 + 3 = 10 + 3? 10. If 12 - 2 = 10, does 12 - 2 - 3 = 10 - 2?


    Yes; The same number is added No; A different number is
    to each side. subtracted from each side.

    g g
    11. If 4s - 2 = 12, does (4s - 2) , 2 = 12 , 2? 12. If 5 = 8 + 9, does 5 + 9 = 8 + 9?
    Yes; Each side is divided by the No; Only the left side has had an
    same number. amount added to it.

    13. Critique Reasoning  In math class, you are checking


    how a friend balanced an equation. His work is at Unbalanced equation:
    the right. What error did your friend make? Explain. 
    16 , 8 = 16 , 8 - 1
    Sample answer: He added 1 to the left side, Balanced equation:
    but subtracted 1 from the right side. He
    16 , 8 + 1 = 16 , 8 - 1
    should have subtracted 1 from the left side
    to balance the equation.

    4-2  Apply Properties of Equality  43


    14. James multiplies one side of the equation 15. Construct Arguments  Maggie said that
    56 + 124 = 180 by a number n. What does she could add 8 to both sides of any
    James need to do to balance the equation? equation and the expressions on both sides
    Multiply the other side of the of the equation would still be equal. Do you
    equation by n. agree? Explain. 
    Yes; Sample answer: The Addition
    Property of Equality states that if
    the same number is added to both
    sides of an equation, then the
    sides stay equal.

    16. Reasoning  If you are given a true 17. Higher Order Thinking  A store sells
    equation and you multiply each side by the 3 pens in a package. There are 12 packages
    same number, the resulting equation is also of pens in a box. Write an equation to
    a true equation. If you are given a false model the number of pens in a box. Use the
    equation and you multiply each side by the equation to write another equation that
    same number, will the resulting equation uses the Subtraction Property of Equality.
    be a true equation or a false equation? Explain how the equation is balanced.
    Give an example to explain.  3 × 12 = 36; Sample answer:
    A false equation; Sample (3 × 12) − 6 = 36 − 6; I
    answer: 4 + 2 = 7 is a false subtracted 6 from both sides of
    equation because 6 3 7. the equation.
    Multiplying both sides by 3 gives
    (4 + 2) × 3 = 7 × 3, which is also
    a false equation because 18 3 21.

    18. Corky writes four equations to show each of the


    Properties of Equality
    properties of equality. Which of Corky’s equations
    is incorrect? Explain. 3+4=a
    Addition
    Division; Corky should have written (3 + 4) + 2 = a + 2
    (3 + 4)
    2
    = a ÷ 2. Subtraction
    3+4=a
    (3 + 4) - 2 = a - 2

    3+4=a
    Multiplication
    4(3 + 4) = 4a
    3+4=a
    Division (3 + 4)
    2
    =2,a

    Assessment Practice
    19. Which equation is equivalent to 20. Which equation is NOT equivalent to
    5 = 95 , x? 5 + n = 10? Select all that apply.

    𝖠 5 = (95 , x) + 6 5 + n - n = 10 - n
    5 + n - 5 = 10 - 10
    𝖡 5 + 6 = (95 , x) + 6
    5 + n - 5 = 10 - 5
    𝖢 5 + 6 = (95 , x) × 6
    5 + n + 3 = 10 + 3
    𝖣 5 , 6 = (95 , x) + 6 5 + n - 10 = 10 - 5
    44 4-2 Apply Properties of Equality

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