Task Sets: Interpret expressions in context - Common Core Math - HS Algebra

Work through problems with immediate feedback

Recall / Warm-Up

A gym charges 50 dollars to enroll and 30 dollars per month. The total cost for $m$ months is given by $50 + 30m$ .

Which statement best describes what this expression represents?

A recipe for computing a number

The total cost in dollars — a real quantity that depends on how long you stay

The number 50 plus the letter m

A simplification of a harder expression

Consider the expression $7x - 3$ .

Which statement correctly identifies its parts?

Two terms: $7x$ and $-3$ . The coefficient of $x$ is 7.

One term: $7x - 3$ . The coefficient is $-3$ .

Two terms: $7$ and $x - 3$ . The coefficient of $x$ is 1.

Three terms: $7$ , $x$ , and $-3$ .

In the expression $6n^2 - 4n + 9$ , which of the following is correct?

There are 2 terms; the constant term is $9$ .

There are 3 terms; the coefficient of $n$ is $-4$ .

There are 3 terms; the coefficient of $n^2$ is $n^2$ .

There are 4 terms — $6$ , $n^2$ , $4n$ , and $9$ .

Fluency Practice

A concert venue charges 8 dollars per ticket plus a 5-dollar processing fee per order. The total cost for buying $t$ tickets is $8t + 5$ .

What does the coefficient 8 represent in this context?

The total cost of all tickets

The number of tickets purchased

The price per ticket in dollars

The number 8, placed in front of $t$

A rental car company charges 40 dollars per day plus 0.25 dollars per mile driven. The total cost is $40d + 0.25m$ , where $d$ is the number of days and $m$ is the number of miles.

What does the variable $d$ represent in this expression?

Any number you choose to substitute

The number of days the car is rented

The daily charge of 40 dollars

The total cost of the rental

A company's profit is modeled by $50x - 20x - 200$ , where $x$ is the number of units sold.

Before simplifying, $50x$ represents revenue and $20x$ represents variable costs. What is the profit in dollars when $x = 10$ units are sold?

The rental car expression is $40d + 0.25m$ , where $d$ is days and $m$ is miles.

Which term represents the total mileage charge?

$40d$

$0.25$

$0.25m$

$40d + 0.25m$

$Side-by-side contrast card. Left side shows the incorrect reading of P(1+r)^n as four separate factors P, 1, r, n. Right side shows the correct reading as two factors: P and (1+r)^n, with (1+r)^n circled as a single chunk.$

The compound interest formula is $A = P(1 + r)^n$ .

How many main factors does this expression have?

Four factors — $P$ , $1$ , $r$ , and $n$

Three factors — $P$ , $(1 + r)$ , and $n$

Two factors — $P$ and $(1 + r)^n$

Five factors — $P$ , $(1 + r)$ , $n$ , $1$ , and $r$

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Exercises: Interpret Expressions in Context

Recall / Warm-Up

Fluency Practice