Multistep Problems
Multistep problems is a Grade 6 math skill in Saxon Math, Course 1, Chapter 2 that requires performing two or more arithmetic operations in sequence to reach a solution. Key vocabulary clues include: sum (addition), difference (subtraction), product (multiplication), and quotient (division). For example, 'subtract the product of 8 and 5 from the sum of 30 and 22' means first compute 8×5=40, then 30+22=52, then 52−40=12. The critical language trap is 'subtract from'—'subtract 10 from 15' means 15−10, not 10−15. Breaking the problem into labeled steps prevents errors and builds systematic problem-solving habits.
Key Concepts
Property The operations of arithmetic are addition (sum), subtraction (difference), multiplication (product), and division (quotient). Multistep problems require performing more than one of these operations to find the solution.
Examples What is the sum of the product of 5 and 4 and the difference of 10 and 3? The product is $5 \times 4 = 20$, the difference is $10 3 = 7$, so the sum is $20 + 7 = 27$. When the product of 8 and 3 is divided by the sum of 8 and 4, the quotient is $24 \div 12 = 2$. Subtract the quotient of 20 and 4 from the product of 7 and 3. The answer is $21 5 = 16$.
Explanation Think of these problems like a treasure hunt! Words like 'product,' 'sum,' or 'difference' are your clues. First, find the treasure for each clue (like 'the product of 5 and 3 is 15'). Then, use those answers to solve the final puzzle. It’s all about tackling one step at a time to find the final answer!
Common Questions
What do sum, difference, product, and quotient mean in math word problems?
Sum is the result of addition. Difference is the result of subtraction. Product is the result of multiplication. Quotient is the result of division. These words are clues to which operation to use.
How do you solve a multistep word problem in Grade 6?
Identify each math operation clue word, solve each part separately in order, then combine the intermediate results for the final answer.
What does 'subtract from' mean in a math problem?
When a problem says 'subtract A from B', calculate B − A. The number after 'from' is the starting value. 'Subtract 10 from 15' means 15 − 10 = 5, not 10 − 15.
What is a multistep problem in Saxon Math Course 1?
A problem requiring more than one arithmetic operation. Students must first solve inner expressions—like a product or sum—then use those results in the final calculation.
How does solving multistep problems prepare students for algebra?
It teaches order of operations and nested expressions, which are the foundation of evaluating algebraic expressions and following the correct sequence in equation solving.