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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.
 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.
 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.
 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.

### Complexity=1, Mode=exp

Write an algebraic sentence using the given information. Use / for division.
1A 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
2It 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.
1Mary 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
2Steven 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.
1Cindy 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