Algebra 1: Properties and Operations Module 1 Quiz

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30 Questions

Which type of real number is 0?

Rational number

What type of real number is -7?

Rational number

Which type of real number is √2?

Irrational number

What type of real number is 3/4?

Rational number

Which type of real number is -√5?

Irrational number

What type of real number is 11?

Natural number

What property states that changing the order of the numbers in addition or multiplication will not change the result?

Commutative property

Which property states that changing the group of the numbers in addition or multiplication will not change the result?

Associative property

What is the property that adding zero to a number does not change its value?

Identity property

Which property states that multiplying a number by 1 does not change the value of the number?

Identity property

What is the property that in multiplying a number by the sum of two numbers gives the same result when multiplying a number by each of the terms and then adding the result?

Distributive property

When adding fractions with different denominators, what should you do to find a common denominator?

Find the least common multiple of the denominators

What does the absolute value of a number represent?

The positive value of the number

Which type of real number is -17?

Integer

What type of real number is 1/3?

Rational number

What type of real number is √11?

Irrational number

Which property states that multiplying a number by 1 does not change the value of the number?

Identity property

What property states that changing the order of the numbers in addition or multiplication will not change the result?

Commutative property

What type of real number is -5.6?

Rational number

What does the commutative property of addition state?

The result of adding two numbers remains the same regardless of the order they are added

What is the identity property of multiplication?

Multiplying a number by 1 changes the value of the number

What is the distributive property of multiplication?

In multiplying a number by the sum of two numbers gives the same result as multiplying a number by each of the terms and then adding the result

What is one common misconception about adding fractions with different denominators?

You should add the numerators without finding a common denominator

What does the absolute value of a number represent?

The distance of the number from 0

What does the product property of exponents state?

To multiply two powers with the same base, add the exponents then simplify

What is one common misconception about canceling numbers in fractions?

Common factors in the numerator and denominator should not be canceled

What is one common misconception about multiplying fractions?

To multiply fractions, only numerators should be multiplied

What misconception do students often have about absolute values?

They think absolute values are always negative.

What is one common misconception about adding fractions with different denominators?

You should add the numerators without finding a common denominator.

What is one common misunderstanding about raising powers to new powers?

Powers raised to new powers should be multiplied.

Test your understanding of algebraic properties, index laws, factorization, equations, and functions with this quiz based on the course contents. This quiz covers the fundamentals of performing algebraic operations using basic properties and laws.

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