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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 ≥
#ProblemCorrect AnswerYour Answer
1There 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.
#ProblemCorrect AnswerYour Answer
2Sharon 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 ≥
#ProblemCorrect AnswerYour Answer
1You 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
#ProblemCorrect AnswerYour Answer
26 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 ≥
#ProblemCorrect AnswerYour Answer
1Let 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
#ProblemCorrect AnswerYour Answer
2Express 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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