Math Practice Problems - Phrases to Algebraic Expressions

Phrases to Algebraic Expressions - 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.

Learn more about our online math practice software.
See some of our other supported math practice problems.

Complexity=1

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

1.	-15 times m
2.	the product of q and v

Complexity=1, Mode=equation

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

1.	the product of twenty-seven and r is less than negative thirty-six times -47
2.	the sum of w and twenty is less than the product of three and q

Complexity=2

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

1.	the product of 21, a, and g
2.	the product of negative one, a, and c

Complexity=2, Mode=equation

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

1.	thirty-three added to the product of c and x is less than the product of nineteen and t added to the product of -1 and m
2.	the product of sixteen and c increased by six is less than the product of negative thirty-nine and (the sum of (the product of negative one and j) and q)

Complexity=3, Mode=equation

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

1.	(the product of twenty-eight, 3, and negative twenty-six) subtracted from e is greater than or equal to (the product of thirty-eight and (the sum of r and 17)) subtracted from (the product of negative one and j)
2.	(f times (forty-four subtracted from 38)) subtracted by u is greater than the product of -13, p, and (11 minus 13)

Answers

Complexity=1

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

#	Problem	Correct Answer	Your Answer
1	-15 times m

#	Problem	Correct Answer	Your Answer
2	the product of q and v

Complexity=1, Mode=equation

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

#	Problem	Correct Answer	Your Answer
1	the product of twenty-seven and r is less than negative thirty-six times -47

#	Problem	Correct Answer	Your Answer
2	the sum of w and twenty is less than the product of three and q

Complexity=2

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

#	Problem	Correct Answer	Your Answer
1	the product of 21, a, and g

#	Problem	Correct Answer	Your Answer
2	the product of negative one, a, and c

Complexity=2, Mode=equation

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

#	Problem	Correct Answer	Your Answer
1	thirty-three added to the product of c and x is less than the product of nineteen and t added to the product of -1 and m
Solution For the phrase "thirty-three added to (the product of c and x)", cx is being modified by 33, so we get "cx + 33" For the phrase "(the product of nineteen and t) added to (the product of -1 and m)", -m is being modified by 19t, so we get "-m + 19t"

#	Problem	Correct Answer	Your Answer
2	the product of sixteen and c increased by six is less than the product of negative thirty-nine and (the sum of (the product of negative one and j) and q)
Solution For the phrase "the product of sixteen and c increased by six", 16c is being modified by 6, so we get "16c + 6"

Complexity=3, Mode=equation

Convert to an algebraic expression. Use / for division. When multiplying 2 numbers, use (). Example: Write 28 × -14 as 28(-14)

#	Problem	Correct Answer	Your Answer
1	(the product of twenty-eight, 3, and negative twenty-six) subtracted from e is greater than or equal to (the product of thirty-eight and (the sum of r and 17)) subtracted from (the product of negative one and j)
Solution For the phrase "(the product of twenty-eight, 3, and negative twenty-six) subtracted from e", e is being modified by 28(3)(^-26), so we get "e - 28(3)(^-26)" For the phrase "(the product of thirty-eight and (the sum of r and 17)) subtracted from (the product of negative one and j)", -j is being modified by 38(r + 17), so we get "-j - 38(r + 17)"

#	Problem	Correct Answer	Your Answer
2	(f times (forty-four subtracted from 38)) subtracted by u is greater than the product of -13, p, and (11 minus 13)
Solution For the phrase "(forty-four subtracted from 38)", 38 is being modified by 44, so we get "38 - 44" For the phrase "(f times (forty-four subtracted from 38)) subtracted by u", f(38 - 44) is being modified by u, so we get "f(38 - 44) - u" For the phrase "(11 minus 13)", 11 is being modified by 13, so we get "11 - 13"

Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert

© Copyright 2010 Accurate Learning Systems Corp. All rights reserved.