# Two-Step Word Problems

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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Lesson Plans and Worksheets for Grade 6

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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?

2. The number of customers at Yummy Smoothies varies throughout the day. During the lunch rush on Saturday, there were 120 customers at Yummy Smoothies. The number of customers at Yummy Smoothies during dinner time was 10 customers less than the number during breakfast. The number of customers at Yummy Smoothies during lunch was 3 times more than during breakfast.
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.

3. Karter has t-shirts. The number of pairs of shoes Karter has is less than the number of pants he has. If the number of shirts Karter has is double the number of pants he has, how many pairs of shoes does Karter have? Let P represent the number of pants Karter has and s represent the number of pairs of shoes he has.
4. Darnell completed 25 push-ups in one minute, which is 8 more than his previous personal best. Mia completed 6 more push-ups than Katie. If Mia completed the same amount of push-ups as Darnell completed during his previous personal best, how many push-ups did Katie complete?
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.
5. Justine swims freestyle at a pace of 150 laps per hour. Justine swims breaststroke 20 laps per hour slower than she swims butterfly. If Justine’s freestyle speed is three times faster than her butterfly speed, how fast does she swim breaststroke?
Let b represent Justine’s butterfly speed and r represent Justine’s breaststroke speed.

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