Math Practice Problems - Phrases to Algebraic Expressions

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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.

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Complexity=1, Mode=equation

Convert to an algebraic expression. Use / for division (write as fraction, not ÷).
When multiplying 2 numbers, use ( ). Example: write 28 × -14 as 28(-14).
Do NOT include leading 1's, example: write -1x as -x.

Complexity=2

Complexity=2, Mode=equation

Complexity=3, Mode=equation

Answers

Complexity=1

#	Problem	Correct Answer	Your Answer
1	the quotient of b and g

#	Problem	Correct Answer	Your Answer
2	21 added to -19
Solution For the phrase "21 added to -19", ^-19 is being modified by 21, so we get "^-19 + 21"

Complexity=1, Mode=equation

#	Problem	Correct Answer	Your Answer
1	the product of 27 and negative twenty-seven is greater than f divided by -38

#	Problem	Correct Answer	Your Answer
2	g plus 4 is greater than or equal to z divided by twenty-three
Solution For the phrase "g plus 4", g is being modified by 4, so we get "g + 4"

Complexity=2

#	Problem	Correct Answer	Your Answer
1	negative thirty-nine times (nine subtracted from forty-one)
Solution For the phrase "(nine subtracted from forty-one)", 41 is being modified by 9, so we get "41 - 9"

#	Problem	Correct Answer	Your Answer
2	the product of 31 and (e added to (the product of -1 and b))
Solution For the phrase "(e added to (the product of -1 and b))", -b is being modified by e, so we get "-b + e"

Complexity=2, Mode=equation

#	Problem	Correct Answer	Your Answer
1	a plus g times x is equal to the product of twenty-nine and (b increased by r)
Solution For the phrase "a plus (g times x)", a is being modified by gx, so we get "a + gx" For the phrase "(b increased by r)", b is being modified by r, so we get "b + r"

#	Problem	Correct Answer	Your Answer
2	fifteen added to the product of negative one and d plus fifteen is less than or equal to 6 added to the product of g and z
Solution For the phrase "((the product of negative one and d) plus fifteen)", -d is being modified by 15, so we get "-d + 15" For the phrase "fifteen added to ((the product of negative one and d) plus fifteen)", -d + 15 is being modified by 15, so we get "-d + 15 + 15" For the phrase "6 added to (the product of g and z)", gz is being modified by 6, so we get "gz + 6"

Complexity=3, Mode=equation

#	Problem	Correct Answer	Your Answer
1	u times (x subtracted from (the product of h and p)) is greater than 13 subtracted from (the product of twelve, -32, and t)
Solution For the phrase "(x subtracted from (the product of h and p))", hp is being modified by x, so we get "hp - x" For the phrase "13 subtracted from (the product of twelve, -32, and t)", 12(^-32)t is being modified by 13, so we get "12(^-32)t - 13"

#	Problem	Correct Answer	Your Answer
2	the product of -45 and ((the sum of c and m) subtracted by q) is less than or equal to the product of (the quotient of (one added to (the product of negative one and p)) and z) and x
Solution For the phrase "((the sum of c and m) subtracted by q)", c + m is being modified by q, so we get "c + m - q" For the phrase "(one added to (the product of negative one and p))", -p is being modified by 1, so we get "-p + 1"

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