Unit 4 Study Guide

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

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Back

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If Monica is one year younger than Dave, and Dave is one year younger than Amber, how can we express their ages algebraically?

Back

Let Dave's age be D. Then Monica's age is D - 1 and Amber's age is D + 1.

Front

What is the total age of Monica, Dave, and Amber if their ages sum to 33?

Back

If Dave is 11, then Monica is 10 and Amber is 12, making the total 33.

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Front

If Jamie works 10 hours during the week, how many hours does he work on the weekend?

Back

Jamie works 20 hours on the weekend since he works twice as many hours on the weekend.

Front

How do you calculate Jamie's total earnings if he works 10 hours during the week?

Back

Total earnings = (10 hours * $7.75) + (20 hours * $7.75) = $77.50 + $155.00 = $232.50.

Front

What is the minimum number of hours Jamie needs to work to earn at least $279?

Back

Jamie needs to work at least 36 hours total (18 during the week and 18 on the weekend) to meet his goal.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents an unknown value in mathematical expressions or equations.