Videos and lessons to help Grade 7 students learn how to solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation

Common Core: 7.EE.3

- I can solve mathematical problems (two-step linear equations) posed with positive and negative rational numbers in any form.
- I can apply properties of operations to calculate two-step problems with numbers in any form.
- I can fluently solve multi-step, real-world problems posed with positive and negative rational numbers.
- I can apply properties of operations to calculate multi-step problems with numbers in any form.
- I can assess and justify the reasonableness of answers using mental computation and estimation strategies.

Related Topics:

Common Core for Grade 7

Common Core for Mathematics

More Lessons for Grade 7

Solving multi-step problems with positive and negative rational numbers in any form (7.EE.3)

In this lesson you will learn how to solve multi-step problems with positive and negative whole numbers by creating diagrams.

In this lesson you will learn how to solve multi-step problems with integers using the order of operations.

In this lesson you will learn how to solve multi-step problems with positive and negative fractions using the order of operations.

In this lesson you will learn how to solve word problems with positive and negative fractions by using mathematical reasoning.

In this lesson you will learn how to solve multi-step problems with positive and negative decimals using the order of operations.

In this lesson you will learn how to solve multi-step word problems with positive and negative decimals using mathematical reasoning.

Multistep word problems example 1

Joelle is working on a school report in a word processor. She wants to place a figure which is 13.09 centimeters wide so that it appears centered on the page. The width of the page is 21.59 centimeters. How much margin should she leave on the left so that the figure is centered?

Multistep word problems example 2)

Jess recently started a business producing cosmetic products made from natural ingredients. She wants to advertise for products by distributing bags of samples in her neighborhood. She calculated that it takes for two minutes to prepare each bag. How many hours will it take to prepare 1200 bags of samples if she asks seven friends to help her with the work?

Multistep word problems example 3)

Sandy is taking a cab in New York City. The taxi fare includes a base charge if $2.50 as soon as you enter the cab, plus an additional $2.50 per mile traveled. If Sandy starts off with a twenty dollar bill takes the cab for five miles and leaves a one dollar tip. How much money will she be left with?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.