Algebraic Sentences 2 Sample Problems

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These sample problems below for Algebraic Sentences 2 were generated by the MathScore.com engine.

Sample Problems For Algebraic Sentences 2

Complexity=1, Mode=basic

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 2p + 4 instead of 4 + 2p
Use <= for ≤ and >= for ≥

1. There are at most 5 apples in a basket.
Let a be the number of apples.

2. Sharon earns at least 11 dollars an hour.
Let s be what Sharon earns hourly.

Complexity=1, Mode=avg

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 2p + 4 instead of 4 + 2p
Use <= for ≤ and >= for ≥

1. You score 20, 20, 29, and 25 points in your first 4 games.
Your goal is to have an average of more than 31 points per game.
Let v = number of points you score in the next game. Which inequality matches your goal?

2. 6 times a number ( s ) is at least 6.

Complexity=1, Mode=adv

Order your answer by magnitude. For example, write 2p + 4 instead of 4 + 2p
Use <= for ≤ and >= for ≥

1. Let c be the number of children in a car. What does 4(c - 3) represent?

12 less than the number of children in a car

7 less than the number of children in a car

4 times the number of children in another car that has 3 fewer children

3 less than 4 times the number of children in a car

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 $9 per CD plus $10 for shipping. You
don't want your spending to exceed $73. Let i = number of CD's you
can purchase.

Answers

Complexity=1, Mode=basic

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 2p + 4 instead of 4 + 2p
Use <= for ≤ and >= for ≥

#	Problem	Correct Answer	Your Answer
1	There are at most 5 apples in a basket. Let a be the number of apples.
Solution At most 5 means 5 or less which mathematically is less than or equal to 5.

#	Problem	Correct Answer	Your Answer
2	Sharon earns at least 11 dollars an hour. Let s be what Sharon earns hourly.
Solution At least 11 means 11 or more which mathematically is greater than or equal to 11.

Complexity=1, Mode=avg

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 2p + 4 instead of 4 + 2p
Use <= for ≤ and >= for ≥

Problem

Correct Answer

Your Answer

You score 20, 20, 29, and 25 points in your first 4 games.
Your goal is to have an average of more than 31 points per game.
Let v = number of points you score in the next game. Which inequality matches your goal?

Solution

#	Problem	Correct Answer	Your Answer
2	6 times a number ( s ) is at least 6.
Solution At least 6 means 6 or more which mathematically is greater than or equal to 6.

Complexity=1, Mode=adv

Order your answer by magnitude. For example, write 2p + 4 instead of 4 + 2p
Use <= for ≤ and >= for ≥

Problem

Correct Answer

Your Answer

Let c be the number of children in a car. What does 4(c - 3) represent?

12 less than the number of children in a car

7 less than the number of children in a car

4 times the number of children in another car that has 3 fewer children

3 less than 4 times the number of children in a car

Solution
12 less than the number of children in a car
c - (4 × 3)
7 less than the number of children in a car
c - (4 + 3)
4 times the number of children in another car that has 3 fewer children
4(c - 3)
3 less than 4 times the number of children in a car
4c - 3

#	Problem	Correct Answer	Your Answer
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 $9 per CD plus $10 for shipping. You don't want your spending to exceed $73. Let i = number of CD's you can purchase.
Solution To not exceed means to not go beyond, or mathematically, less than or equal to. To exceed means greater than.

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