Exploring the Basics of Equations and Properties of Equality

What is an equation?

• A type of mathematical puzzle

• A formula involving shapes

• A statement that two expressions are equal

• A method to calculate area

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CCSS.6.EE.A.4

What is the purpose of variables in algebraic equations?

• To represent unknown values

• To add more numbers to the equation

• To make the equation look complex

• To substitute for operations

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CCSS.HSA.REI.A.1

What value of x solves the equation 4x + 1 = 9?

• 1

• 2

• 3

• 4

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CCSS.7.EE.B.4A

How do you verify if a solution is correct for an equation?

• By checking with a calculator

• By substituting the value back into the equation

• By guessing

• By asking a friend

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CCSS.6.EE.B.5

What does the reflexive property of equality state?

• If a = b, then b = a

• a + b = b + a

• If a = b and b = c, then a = c

• For any quantity a, a = a

Tags

CCSS.7.EE.A.1

According to the symmetric property, if a = b, then:

• b = a

• a + b = b + a

• a = a

• b ≠ a

Tags

CCSS.7.EE.A.1

What does the transitive property of equality illustrate?

• If a = b and b = c, then a ≠ c

• If a = b and b = c, then a = c

• a = a

• b = a if a = b

Tags

CCSS.7.EE.A.1

What is the substitution property of equality?

• For any quantity a, a = a

• a = b if and only if b = a

• If a = b and b = c, then a = c

• If a = b, then function of a = function of b

If you add 2 to one side of an equation, what must you do to the other side?

• Do nothing

• Multiply by 2

• Subtract 2

• Add 2

Tags

CCSS.6.EE.B.7

What is the result of multiplying both sides of an equation by 3 if the equation is 2 = 2?

• 9 = 9

• 3 = 3

• 2 = 2

• 6 = 6

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CCSS.8.EE.C.7A