# Hotmath Practice Problems

Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
Chapter:Operations, Expressions and VariablesSection:Translating Words to Symbols

Problem: 1

Give a variable expression depicting the given statement.

The product of nine and a number c

Problem: 3

Give a variable expression depicting the given statement.

A number e subtracted from forty–two

Problem: 5

Give a variable expression depicting the given statement.

Sixty–four decreased by a number n

Problem: 7

Give a variable expression depicting the given statement.

Sixteen more than a number m

Problem: 9

Give a variable expression depicting the given statement.

The quotient when a number c is divided by twelve

Problem: 11

Give a variable expression depicting the given statement.

The sum of a number x and a number y, multiplied by eighty–two

Problem: 13

Give a variable expression depicting the given statement.

A number a divided by the remainder of seventy–four minus twenty

Problem: 15

Give a variable expression depicting the given statement.

The product of a number d and two more than the sum of eight and eleven

Problem: 17

Translate the verbal phrase into an algebraic expression.

A number divided by the sum of 5 and another number.

Problem: 19

Write the verbal phrase as an algebraic expression.

Four times as much money as your little brother

Problem: 21

Find the equation or inequality describing the word statement.

Four times a number a is greater than sixteen.

Problem: 23

Find the equation or inequality describing the word statement.

Six less than the product of a number v and two equals eight.

Problem: 25

Find the equation or inequality describing the word statement.

Three divided by the product of four and a number r is less than thirty–six.

Problem: 27

Find the equation or inequality describing the word statement.

The quotient when the sum of five and x is divided by three is forty–two.

Problem: 29

Find the equation or inequality describing the word statement.

The product of x and the difference of seven minus two is equal to x.

Problem: 31

Find the equation or inequality describing the word statement.

Thrice a number is equal to the product when the sum of the number and five is multiplied by six.

Problem: 33

Match the verbal phrase with its algebraic expression.

The sum of a number and 7.

A. 7y

B. 7 + n

C. 7 + m

D. 2s + 6

E.x – 7

F. 7 – x

Problem: 35

Give a variable expression depicting the given statement.

The greatest of three consecutive whole numbers, the smallest of which is c

Problem: 37

Give a variable expression depicting the given statement.

The greatest of four consecutive even numbers following the even number a

Problem: 39

Write a variable expression for the smaller number, if the difference between two numbers is nine and the greater number is a.

Problem: 41

Write the given word statement as an equation or inequality and then use the given replacement set to solve it.

The product of x and twelve, decreased by five, is greater than or equal to

thirty–four.

{3, 4, 5}

Problem: 43

Johnny bought 2 pairs of jeans and 3 shirts for school. Each pair of jeans cost \$25 and each shirt cost \$14. How much did Johnny spend?

A. \$135

B. \$92

C. \$86

D. \$245