Knowledge check

Complete these exercises and check your answers.

Translate English Phrases into Algebraic Expressions

In the following exercises, translate the given word phrase into an algebraic expression.

117. The sum of 8 and 12

119. The difference of 14 and 9

121.The product of 9 and 7

123.The quotient of 36 and 9

125.The difference of x and 4

127. The product of 6 and y

129. The sum of 8x and 3x

131. The quotient of y and 3

133. Eight times the difference of y and nine

135. Five times the sum of x and y


In the following exercises, write an algebraic expression.

137. Adele bought a skirt and a blouse. The skirt cost $15 more than the blouse. Let b represent the cost of the blouse. Write an expression for the cost of the skirt.

139. The number of girls in a second-grade class is 4 less than the number of boys. Let b represent the number of boys. Write an expression for the number of girls.

141. Greg has nickels and pennies in his pocket. The number of pennies is seven less than twice the number of nickels. Let n represent the number of nickels. Write an expression for the number of pennies.


Source: Rice University, https://openstax.org/books/prealgebra-2e/pages/2-2-evaluate-simplify-and-translate-expressions
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