Exploring Properties of Real Numbers in Algebra

What is an equivalent expression?

• An expression that is always false

• An expression that has different values for different variables

• An expression that cannot be simplified

• An expression that has the same value for all values of the variable

Tags

CCSS.RI.6.8

CCSS.RI.8.1

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is deductive reasoning?

• The process of making assumptions without evidence

• The process of reasoning logically from given facts to a conclusion

• The process of proving something by trial and error

• The process of guessing based on intuition

Tags

CCSS.1.OA.B.3

What does the commutative property of addition state?

• The order of addition does not matter

• The order of subtraction does not matter

• The order of division does not matter

• The order of multiplication does not matter

Tags

CCSS.3.OA.B.5

Which of the following is an example of the associative property of multiplication?

• 2 * (3 * 4) = (2 * 3) * 4

• 2 * 3 = 3 * 2

• 2 + 3 = 3 + 2

• (2 + 3) + 4 = 2 + (3 + 4)

Tags

CCSS.1.OA.B.3

What is the identity property of addition?

• Multiplying a number by 1 does not change the number

• Multiplying a number by 0 does not change the number

• Adding 0 to a number does not change the number

• Adding 1 to a number does not change the number

Tags

CCSS.3.OA.B.5

What happens when you multiply any number by zero?

• The number becomes zero

• The number becomes one

• The number becomes negative

• The number remains the same

Tags

CCSS.7.NS.A.2A

What is the multiplicative property of -1?

• Multiplying by -1 changes the sign of the number

• Multiplying by -1 makes the number positive

• Multiplying by -1 does not change the number

• Multiplying by -1 makes the number zero

Tags

CCSS.3.OA.B.5

Which property is used in the expression 31 * 0 = 0?

• Commutative property

• Identity property of addition

• Associative property

• Zero property of multiplication

Tags

CCSS.7.EE.A.1

How can you simplify the expression 4 * 8n?

• By dividing 4 by 8

• By adding 4 and 8

• By subtracting 4 from 8

• By multiplying 4 and 8

Tags

CCSS.7.EE.A.1

Is the statement 'a - b = b - a' true for all real numbers?

• Yes, but only for positive numbers

• No, it is always false

• Yes, it is always true

• No, and a counterexample can be provided

Tags

CCSS.6.EE.B.5