Videos to help Grade 6 students calculate the solution of one-step equations by using their knowledge of order of operations and the properties of equality for addition, subtraction, multiplication, and division. Students employ tape diagrams to determine their answer and can check to determine if their solution makes the equation true.

New York State Common Core Math Module 4, Grade 6, Lesson 28

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Common Core For Grade 6

Problem Set Sample Solutions

1. Dwayne scored 55 points in the last basketball game, which is 10 points more than his personal best. Lebron scored 55 points more than Chris in the same game. Lebron scored the same number of points as Dwayne’s personal best.

Let d represent the number of points Dwayne scored during his personal best and c represent the number of Chris’ points.

a. How many points did Chris score during the game?

b. If these are the only three players who scored, what was the team’s total number of points at the end of the game?

How many people were at Yummy Smoothies during breakfast? H

ow many people were at Yummy Smoothies during dinner?

Let d represent the number of customers at YummySmoothies during dinner and b represent the number of customers at Yummy Smoothies during breakfast.

Let d represent the number of push-ups Darnell completed during his previous personal best and k represent the number of push-ups Katie completed.

Let b represent Justine’s butterfly speed and r represent Justine’s breaststroke speed.

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.

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