Math Practice Topic: Algebraic Sentences 2

Description: Given a word problem, write a corresponding algebraic sentence.
Also includes identifying the sentence that corresponds to the problem.

Adaptive Learning Progression: The algebraic equations become more complex.

Sample Levels (out of 6)

Solve.

1.
Let h be the number of horses on a field.
There are at least 17 horses.
2.
Let j be what Jose earns hourly.
Jose earns at most 12 dollars an hour.

Solve.

1.
The width of a rectangle is 5 units and its perimeter is less than 24 units.
Let b = length of the rectangle. Which inequality matches this situation?
       b + 5 < 24
       2(b + 5) > 24
       2b + 5 < 24
       b + 5 > 24
       2b + 5 > 24
       2(b + 5) < 24
2.
7 more than a number ( w ) is more than 2.
3.
You score 22, 15, and 24 points in your first 3 games.
Your goal is to have an average of more than 25 points per game.
Let k = number of points you score in the next game. Which inequality matches your goal?
4.
9 times a number ( a ) is at most -8.

Solve.

1.
Let p be the number of pies on a tray.  What does 6(p - 6) represent?
       12 less than the number of pies on a tray
       36 less than the number of pies on a tray
       6 times the number of pies on another tray that has 6 fewer pies
       6 less than 6 times the number of pies on a tray
2.
Express the following relationship as an algebraic sentence.
(Do not include dollar signs, $, in your answer.)

The cost of buying CD's online is $13 per CD plus $12 for shipping.  You
don't want your spending to exceed $62.  Let w = number of CD's you
can purchase.

3.
Let b be the number of bell peppers in a basket.  What does 9b + 10 represent?
       9 times the number of bell peppers in another basket that has 10 more bell peppers
       9 times the number of bell peppers in another basket that has 10 fewer bell peppers
       10 more than 9 times the number of bell peppers in a basket
       10 less than 9 bell peppers in a basket
       10 less than 9 times the number of bell peppers in a basket
       10 more than 9 bell peppers in a basket
4.
Express the following relationship as an algebraic sentence.
(Do not include dollar signs, $, in your answer.)

Let a = number of adult tickets sold weekly, and let c = number
of children's tickets sold weekly. At the local theater, adult tickets cost $7
each and children's tickets cost $4 each. Ticket sales total at most $651
weekly.


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