MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Algebraic Sentences - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

See some of our other supported math practice problems.

Complexity=1, Mode=exp

Write an algebraic sentence using the given information. Use / for division. If money is involved, do not put \$ in your answer.

 1.   Tiffany is one-seventh as old as Cindy.If Cindy is c years old, how old is Tiffany? 2.   Jose is 6 times as old as Sharon.If Sharon is s years old, how old is Jose?

Complexity=1, Mode=eqn

Write an algebraic expression or equation you would use to solve the situation given.

 1.   Let Peter be p years old. Cindy is one-tenth as old as Peter. Cindy is 8 years old. Focusing on the second sentence, write an equation that also incorporates information from the other sentences. 2.   Let f be the number of cookies. There are one-eighth as many cupcakes as cookies on a tray. There are 5 cupcakes. Focusing on the second sentence, write an equation that also incorporates information from the other sentences.

Complexity=2, Mode=eqn

Write an algebraic equation that represents the situation given.

 1.   The number of cats ( c ) is 8 fewer than 4 times the number of horses ( h ). 2.   The number of cucumbers ( c ) is 10 more than 7 times the number of bell peppers ( b ).

Complexity=1, Mode=exp

Write an algebraic sentence using the given information. Use / for division. If money is involved, do not put \$ in your answer.

1Tiffany is one-seventh as old as Cindy.
If Cindy is c years old, how old is Tiffany?

Solution
 Tiffany is one-seventh as old as Cindy Tiffany = 1 / 7 × c

This simplifies to   c/7
2Jose is 6 times as old as Sharon.
If Sharon is s years old, how old is Jose?

Solution
 Jose is 6 times as old as Sharon Jose = 6 × s

This simplifies to   6s

Complexity=1, Mode=eqn

Write an algebraic expression or equation you would use to solve the situation given.

1Let Peter be p years old.
Cindy is one-tenth as old as Peter.
Cindy is 8 years old.
Focusing on the second sentence, write an equation that also incorporates information from the other sentences.

Solution
 Cindy is one-tenth as old as Peter 8 = 1 / 10 × p

This simplifies to   p/10 = 8
2Let f be the number of cookies.
There are one-eighth as many cupcakes as cookies on a tray.
There are 5 cupcakes.
Focusing on the second sentence, write an equation that also incorporates information from the other sentences.

Solution
"Let f be the number of cookies.
There are one-eighth as many cupcakes as cookies on a tray.
" means
 Number of cupcakes is one-eighth the number of cookies 5 = 1/ 8   × f

This simplifies to   f/8 = 5

Complexity=2, Mode=eqn

Write an algebraic equation that represents the situation given.

1The number of cats ( c ) is 8 fewer than 4 times the number of horses ( h ).
Solution
 Number of cats is 8 fewer than 4 times the number of horses c = - 8 + 4 × h

This simplifies to   c = 4h - 8