Equation Word Problems

Front

What is an equation word problem?

Back

An equation word problem is a mathematical problem presented in a narrative form that requires the formulation of an equation to find the solution.

Front

How do you identify the unknown in a word problem?

Back

The unknown is typically represented by a variable (like x) and is the quantity you need to find based on the information given in the problem.

Front

What does it mean to 'translate' a word problem into an equation?

Back

Translating a word problem into an equation involves converting the words and relationships described in the problem into a mathematical expression or equation.

Front

What is the first step in solving a word problem?

Back

The first step is to read the problem carefully and identify the key information and what is being asked.

Front

How do you set up an equation for a problem involving total amounts?

Back

You can set up an equation by expressing the total amount as the sum of the parts or quantities involved.

Front

What is the equation for the problem: 'Half of your baseball card collection got wet and was ruined. Bought 11 cards to replace some that were lost. How many did you begin with if you now have 31?'

Back

Let x be the initial number of cards. The equation is: (1/2)x + 11 = 31.

Front

How do you solve for x in the equation 3(x + 5) = 30?

Back

First, distribute: 3x + 15 = 30. Then, subtract 15 from both sides: 3x = 15. Finally, divide by 3: x = 5.

Front

What is the equation for the problem: 'Last season, I spent $2752 to see my team play 43 games. How much was each ticket?'

Back

The equation is: 43(x + 10) = 2752, where x is the cost of each ticket.

Front

How do you find the number of students per bus in the problem: 'For a field trip, 13 students rode in cars and the rest filled seven buses. How many students were in each bus if 251 students were on the trip?'

Back

First, find the number of students in buses: 251 - 13 = 238. Then divide by the number of buses: 238 / 7 = 34.

Front

What is the equation for the problem: 'Four friends bought pizza. They all split the cost evenly. The pizza was $16.00. The total bill came to $32.00.'

Back

The equation is: 16 + 4p = 32, where p is the price each friend paid.