5.4B Multi-step problems and equations

Front

What is a multi-step problem?

Back

A multi-step problem is a mathematical question that requires more than one step to solve, often involving multiple operations such as addition, subtraction, multiplication, or division.

Front

How do you find the total number of pages read if a book has 135 pages divided into 9 chapters?

Back

First, find the number of pages per chapter by dividing 135 by 9, which equals 15 pages per chapter. Then, multiply the number of chapters read (6) by the pages per chapter (15) to find the total pages read: 6 x 15 = 90 pages.

Front

If each student earns 4 erasers and there are 38 students, how do you calculate the total number of erasers needed?

Back

Multiply the number of students (38) by the number of erasers each student earns (4): 38 x 4 = 152 erasers.

Front

What equation represents the total cost for one month of phone service if the charge is $0.12 per minute plus a monthly fee of $8.00?

Back

The equation is c = 0.12m + 8, where c is the total cost and m is the number of minutes used.

Front

How do you write an equation to find the cost of each marker if Adam spent $42.42 on seven markers?

Back

The equation is 42.42 = 7x, where x is the cost of each marker.

Front

How do you determine the number of shelves needed for 52 cans of vegetables and 74 cans of soup if each shelf holds 9 cans?

Back

First, find the total number of cans: 52 + 74 = 126 cans. Then, divide the total number of cans by the number of cans per shelf: 126 ÷ 9 = 14 shelves.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify the equation if possible, which may include combining like terms or distributing.

Front

What does it mean to divide a total by a number in a word problem?

Back

Dividing a total by a number in a word problem often means distributing that total evenly among a certain number of groups or items.

Front

How can you check if your answer to a multi-step problem is correct?

Back

You can check your answer by substituting it back into the original problem or by estimating to see if the answer makes sense.

Front

What is the importance of writing equations in word problems?

Back

Writing equations helps to translate the words of the problem into a mathematical format that can be solved systematically.