Algebraic Sentences Sample Problems

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

Sample Problems For Algebraic Sentences

Complexity=1, Mode=exp

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write p + 4 instead of 4 + p

1. A ball costs u dollars.
If Jennifer bought 5 balls, how much did she spend?

2. It costs v dollars for 5 erasers.
How much does each eraser cost?

Complexity=1, Mode=eqn

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 4y + 3 instead of 3 + 4y

1. Mary is 7 times as old as Tiffany.
Mary is 56 years old. Let Tiffany be t years old.

2. Steven is 10 times as old as Jennifer.
Steven is 90 years old. Let Jennifer be j years old.

Complexity=2, Mode=eqn

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 4y + 3 instead of 3 + 4y

1. Cindy is 3 years younger than one-ninth Pearl's age ( p ).
Cindy is c years old.

2. Steven is 5 years younger than one-fifth Mary's age ( m ).
Steven is s years old.

Answers

Complexity=1, Mode=exp

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write p + 4 instead of 4 + p

Problem

Correct Answer

Your Answer

A ball costs u dollars.
If Jennifer bought 5 balls, how much did she spend?

Solution

Cost of purchase	=	Number of items	×	Unit cost
	=	5	×	u

This simplifies to 5u

Problem

Correct Answer

Your Answer

It costs v dollars for 5 erasers.
How much does each eraser cost?

Solution

Unit cost	=	Total cost	÷	Number of items
	=	v	÷	5

This simplifies to v/5

Complexity=1, Mode=eqn

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 4y + 3 instead of 3 + 4y

Problem

Correct Answer

Your Answer

Mary is 7 times as old as Tiffany.
Mary is 56 years old. Let Tiffany be t years old.

Solution

Mary	is	7 times	as old as	Tiffany
56	=	7	×	t

This simplifies to 7t = 56

Problem

Correct Answer

Your Answer

Steven is 10 times as old as Jennifer.
Steven is 90 years old. Let Jennifer be j years old.

Solution

Steven	is	10 times	as old as	Jennifer
90	=	10	×	j

This simplifies to 10j = 90

Complexity=2, Mode=eqn

Write an algebraic sentence using the given information. Use / for division.
Order your answer by magnitude. For example, write 4y + 3 instead of 3 + 4y

Problem

Correct Answer

Your Answer

Cindy is 3 years younger than one-ninth Pearl's age ( p ).
Cindy is c years old.

Solution

Cindy	is	3 years older	than	one-ninth Pearl's age
c	=	+ 3	+	¹ / ₉ • p

This simplifies to c = p / 9 - 3

Problem

Correct Answer

Your Answer

Steven is 5 years younger than one-fifth Mary's age ( m ).
Steven is s years old.

Solution

Steven	is	5 years older	than	one-fifth Mary's age
s	=	+ 5	+	¹ / ₅ • m

This simplifies to s = m / 5 - 5

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