WORD PROBLEMS EQUATIONS AND INEQUALITIES WORKSHEET

Problem 1 :

A hybrid car gets about 60 miles per gallon of gas in the city and about 51 miles per gallon on the highway. During one week, the hybrid uses 12 gallons of gas and travels 675 miles. How much gas was used on the highway?

A) 4 gallons   B) 5 gallons   C) 7 gallons    D) 8 gallons

Solution

Problem 2 :

A popcorn manufacturer’s ideal weight for a bag of microwave popcorn is 3.5 ounces, with a tolerance of 0.25 ounce. What is the range of acceptable weights w (in ounces) of a bag of popcorn? 

A) w ≥ 3.75  B) w ≤ 3.25 

 C) -0.25 ≤ w ≤ 0.25  D) 3.25 ≤ w ≤ 3.75

Solution

Problem 3 :

Oxygen exists as a liquid between -369°F and -297°F, inclusive. Which compound inequality gives the range of temperatures T for liquid oxygen? 

A) -369 ≤ T ≤ -297         B) -369 < T < -297

C) -297 ≤ T ≤ -369       D) -297 < T < -369

Solution

Problem 4 :

A football kicker scores 1 point for each extra point and 3 points for each field goal. One season, a kicker made 34 extra points and scored a total of 112 points. How many field goals did the kicker make?

A) 13    B) 26    C) 48   D)  78

Solution

Problem 5 :

A video store rents movies for $2.95 each. Recently, the store added a special allowing an unlimited number of rentals for $15.95 per month. How many movies must you rent in a month in order to save money by using the special?

A) 5 or less    B) exactly 6   C) 6 or more   D) 13 or more

Solution

Problem 6 :

You are draining a swimming pool. The table shows the depth of the water at different times. How long will it take the pool to empty?

A) 4.8 hours    B) 6.7 hours   C) 8 hours    D) 24 hours

Solution

Problem 1 :

Katie has $50 in a savings account at the beginning of the summer. She wants to have at least $20 in the account by the end of the summer. She withdraws $2 each week for food, clothes, and movie tickets. Write an inequality that expresses Katie’s situation and display it on the graph below. For how many weeks can Katie withdraw money?

Solution

Problem 2 :

Skate Land charges a $50 flat fee for a birthday party rental and $4 for each person. Joann has no more than $100 to budget for her party. Write an inequality that models her situation and display it on the graph below. How many people can attend Joann's party.

Solution

Problem 3 :

Sarah is selling bracelets and earrings to make money for summer vacation. The bracelets cost $2 and the earrings cost $3. She needs to make at least $60. Sarah knows she will sell more than 10 bracelets. Write inequalities to represent the income from jewelry sold and number of bracelets sold. Find two possible solutions.

Solution

Write the sentence as an equation or an inequality. Let x represent  the number.

Problem 1 :

The sum of 20 and a number is 30.

Solution

Problem 2 :

A number increased by 10 is greater than or equal to 44.

Solution

Problem 3 :

18 decreased by a number is 6.

Solution

Problem 4 :

35 is less than the difference of 21 and a number.

Solution

Problem 5 :

The product of 13 and a number is greater than 60.

Solution

Problem 6 :

7 times a number is 56.

Solution

Problem 7 :

A number divided by 22 is less than 3.

Solution

Problem 8 :

The quotient of 35 and a number is 7.

Solution

Problem 9 :

A number x divided by 9 is less than 17.

Solution

Problem 10 :

The product of 10 and a number x is 50.

Solution

Problem 11 :

A number y plus 10 is greater than or equal to 57.

Solution

Problem 12 :

A number y minus 6 is 15.

Solution