Questions and Answers
Write an algebraic expression for the following word phrase: the quotient of r and 12.
Write a word phrase for the algebraic expression 3x - 7.
The difference of three times a number x and seven.
Simplify the expression: 4² + 8 ÷ 2.
20
Find the square root of 25.
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Find the square root of 0.81.
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Name the subset(s) of real numbers to which the number zero belongs. Choose all that apply.
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Write an algebraic expression that models the cost of a telephone call that lasts t minutes, given the cost is $0.75 + $0.25 times the number of minutes.
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Study Notes
Algebraic Expressions
- Quotient Expression: The quotient of ( r ) and 12 can be represented as ( r ÷ 12 ).
- Word Phrase for Expression: The expression ( 3x - 7 ) translates to "the difference of three times a number ( x ) and seven".
Simplification and Evaluation
- Simplification Challenge: For the expression ( 4^2 + 8 ÷ 2 ), the correct simplified answer is 20.
- Square Root Calculation: The square root of 25 is 5, while the square root of 0.81 is 0.9.
Subsets of Real Numbers
-
Zero Membership: The number zero is classified as:
- Integers
- Whole numbers
- Zero is NOT classified as:
- Irrational numbers
- Natural numbers
Cost Modeling
- Telephone Call Cost: The total cost for a telephone call lasting ( t ) minutes is modeled by the expression ( 0.75 + 0.25t ).
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Description
Test your understanding of algebraic expressions with this quiz based on Unit 2, Lesson 3. You'll convert word phrases into algebraic expressions and vice versa. Challenge yourself and improve your skills in algebraic notation.
