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Properties of Equality

Quiz by Grady Vance

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9 questions
Show answers
  • Q1
    A series of properties, rules, or laws associated with mathematical operations and equality.
    Units
    Properties of Operations
    One Solution Equation
    Properties of Equality
    30s
  • Q2
    Some of the steps in Jermaine solution to 2.5(6.25x + 0.5) = 11 are shown. Select the correct reason for line 4 of Jermaine’s solution.
    Question Image
    Addition Property of Equality
    Division Property of Equality
    Closure Property of Equality
    Symmetric Property of Equality
    Distributive Property of Equality
    30s
  • Q3
    Brian makes the claim that x = 6 is the solution to the equation 4(5x - 12) - 7x = 5x. His work to support his claim is shown below. Which of the following justifications are correct?
    Question Image
    Step 2 is justified by the distributive property
    Step 1 is justified by the associative property
    Step 4 is justified by the addition property of equality
    Step 3 is justified by substitution property of equality (combining like terms)
    30s
  • Q4
    An equation with one variable; whose solution can be one solution, no solutions, or infinitely many solutions.
    Simple one solution equation
    Properties of equality
    Properties of operations
    Inequality
    30s
  • Q5
    Daniel attempted to solve the equation 3(x-4)-4 = 1. Based on the information provided, which statement justifies why her solution is incorrect?
    Question Image
    She did not add the number 16 to the number 1 correctly in Step 3
    She did not add the number -12 to the number -4 correctly in Step 2
    She did not divide the number -15 by the number 3 correctly in Step 4
    She did not distribute the number 3 to the quantity (x - 4) correctly in Step 1
    30s
  • Q6
    Describe which Property of Equality is the first step in solving the equation. 4(3v + 2 - 2v + 2) = 20?
    Distributive Property of Equality
    Addition Property of Equality
    Subtraction Property of Equality
    Multiplication Property of Equality
    30s
  • Q7
    Two students work the same problem, Which statement is true?
    Question Image
    Taylor is correct, because 1(2x + 5)= 5(x = 3)is one method to solve the proportion.
    Jamie is wrong, because from Step 2 to Step 3 she should have added x to both sides.
    Jaime is correct, because the 5 in the numerator and the 5 in the denominator will simplify to 1
    Taylor is wrong, because from Step 3 to Step 4 he should have divided both sides by -10.
    30s
  • Q8
    Logical rules which allow you to balance, manipulate, and solve equations
    One Solution Equation
    Rules of math
    Properties of Equality
    Properties of Operations
    30s
  • Q9
    Which property states: If 3 + 9 = 12, and 12 = 4+ 8, then 3+9 = 4 + 8
    Symmetric Property of Equality
    Addition Property of Equality
    Substitution Property of Equality
    Transitive Property of Equality
    30s

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