Practice Algebraic Representation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Using algebraic expressions and equations to represent and analyze mathematical relationships and real-world situations.
Translating 'the cost is $5 plus $2 per item' into .
Showing a random 20 of 50 problems.
Example 1
easyWrite '3 times a number ' algebraically.
Example 2
easyWrite an expression for the total cost of books at $8 each.
Example 3
easyRepresent this situation algebraically: 'Sarah has 5 more apples than Tom. Together they have 23 apples.'
Example 4
mediumA number is multiplied by 3 then 4 is subtracted. The result equals 17. Write the equation and solve.
Example 5
hardA worker plants trees on day 1, then 4 more trees each subsequent day. Write the total planted after days.
Example 6
easyWrite an expression for '6 less than a number '.
Example 7
challengeA two-digit number has tens digit and units digit . Write its value, and the value when the digits are reversed.
Example 8
easyWrite 'the quotient of and ' algebraically.
Example 9
easyA square has side . Write its area and perimeter.
Example 10
mediumA taxi charges $3 base fare plus $2 per mile. Write a formula for the fare in terms of miles .
Example 11
mediumTranslate 'the sum of a number and twice another equals 12' into an equation (numbers ).
Example 12
easyWrite an expression for the total length of ribbons that are each 4 feet long.
Example 13
mediumWrite an algebraic formula for the perimeter of a rectangle with length and width .
Example 14
easyWrite '5 more than a number ' as an expression.
Example 15
easyWrite 'the sum of and ' as an expression.
Example 16
hardThree consecutive integers sum to 84. Represent them and solve.
Example 17
mediumAnna has $30. She spends on a book and $5 on a sandwich. Write the amount left.
Example 18
mediumTranslate 'the product of a number and 4 is 5 less than the number' into an equation (number ).
Example 19
mediumA rectangle's length is 3 more than its width . Write its perimeter.
Example 20
hardA movie ticket costs $ for adults and $ for children. A family of 2 adults and 3 children pays $54. Write the equation; if , find .