In this Grade 7 Saxon Math Course 2 lesson, students learn to solve one-step word problems by identifying two common plot types — combining and separating — and writing equations using the formulas s + m = t and b − a = r. They practice the four-step problem-solving process to set up and solve for unknown addends or remainders in real-world contexts. This lesson builds algebraic thinking skills essential for translating word problems into equations.
Section 1
📘 Problems About Combining, Problems About Separating
This lesson introduces translating word problems into equations by identifying their plot. Two common plots are combining (addition) and separating (subtraction).
Combining Formula
Separating Formula
This is the foundation for algebraic problem-solving. Next, you'll apply these formulas through worked examples and practice problems for both combining and separating scenarios.
Section 2
Problems about combining
some + some more = total
A troop of 175 scouts is joined by 137 more. The total is scouts.
You need 114 miles for a trip and have gone 47. You still need miles.
Think of this as joining groups! You start with some items, add more, and find the new total. If you know the total but not one of the starting parts, you can work backward by subtracting.
Section 3
Problems about separating
beginning amount - some went away = what remains
Tim baked 48 muffins and gave some away, leaving 32. He gave away muffins.
After shipping 56 boxes, 88 were left. The start amount was boxes.
This plot is for when an amount is removed from a starting total. Imagine a big batch of something where a piece goes away! This formula helps track what is left over after a change.
Section 4
Understanding the problem plot
To write an equation, it is helpful to understand the plot of the word problem. Problems with the same plot can be modeled with the same equation or formula.
'Syd spent 98.03 dollars and has 12.47 dollars left' is a separating plot.
'200,000 people are in a city with a usual population of 85,000' is a combining plot.
Think of it like a movie genre! Recognizing if a problem is about adding together or taking apart helps you pick the right tool for the job.
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Section 1
📘 Problems About Combining, Problems About Separating
This lesson introduces translating word problems into equations by identifying their plot. Two common plots are combining (addition) and separating (subtraction).
Combining Formula
Separating Formula
This is the foundation for algebraic problem-solving. Next, you'll apply these formulas through worked examples and practice problems for both combining and separating scenarios.
Section 2
Problems about combining
some + some more = total
A troop of 175 scouts is joined by 137 more. The total is scouts.
You need 114 miles for a trip and have gone 47. You still need miles.
Think of this as joining groups! You start with some items, add more, and find the new total. If you know the total but not one of the starting parts, you can work backward by subtracting.
Section 3
Problems about separating
beginning amount - some went away = what remains
Tim baked 48 muffins and gave some away, leaving 32. He gave away muffins.
After shipping 56 boxes, 88 were left. The start amount was boxes.
This plot is for when an amount is removed from a starting total. Imagine a big batch of something where a piece goes away! This formula helps track what is left over after a change.
Section 4
Understanding the problem plot
To write an equation, it is helpful to understand the plot of the word problem. Problems with the same plot can be modeled with the same equation or formula.
'Syd spent 98.03 dollars and has 12.47 dollars left' is a separating plot.
'200,000 people are in a city with a usual population of 85,000' is a combining plot.
Think of it like a movie genre! Recognizing if a problem is about adding together or taking apart helps you pick the right tool for the job.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter