In this Grade 8 lesson from Yoshiwara Core Math, Chapter 5, students learn to write algebraic expressions involving two or more operations and multiple variables, then evaluate those expressions by substituting values and applying the order of operations. The lesson also introduces formulas as equations that relate two or more variables, such as the area formula for a rectangle.
Section 1
📘 More Algebraic Expressions
This lesson advances your skills in translating complex scenarios into algebraic expressions with multiple operations. You'll learn to evaluate these expressions and apply them to real-world problems using common formulas for distance, profit, interest, and more.
Soon, we'll dive into worked examples and interactive practice for writing and evaluating expressions, preparing you for challenge problems using these new formulas.
Section 2
Writing Algebraic Expressions
Algebraic expressions may involve two or more operations. Some algebraic expressions involve more than one variable. To write an algebraic expression from a phrase, we must identify the unknown quantities, assign variables to represent them, and then translate the mathematical operations.
Section 3
Evaluating Algebraic Expressions
When we evaluate an algebraic expression, we follow the order of operations. We substitute the given value for the variable and then simplify the result.
Section 4
Formulas
A formula is an equation that relates two or more variables, and usually helps us calculate some useful quantity. Substituting values for the variables on the right side of the formula is called evaluating the formula.
Section 5
Distance, Profit, and Average Formulas
The distance traveled by an object moving at a constant speed for a time is given by:
To find the profit , subtract costs from the revenue :
Section 6
Interest and Percentage Formulas
The interest earned on a principal at an annual rate for years is:
To find the percentage of a whole amount , multiply the percentage rate times the whole amount :
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Section 1
📘 More Algebraic Expressions
This lesson advances your skills in translating complex scenarios into algebraic expressions with multiple operations. You'll learn to evaluate these expressions and apply them to real-world problems using common formulas for distance, profit, interest, and more.
Soon, we'll dive into worked examples and interactive practice for writing and evaluating expressions, preparing you for challenge problems using these new formulas.
Section 2
Writing Algebraic Expressions
Algebraic expressions may involve two or more operations. Some algebraic expressions involve more than one variable. To write an algebraic expression from a phrase, we must identify the unknown quantities, assign variables to represent them, and then translate the mathematical operations.
Section 3
Evaluating Algebraic Expressions
When we evaluate an algebraic expression, we follow the order of operations. We substitute the given value for the variable and then simplify the result.
Section 4
Formulas
A formula is an equation that relates two or more variables, and usually helps us calculate some useful quantity. Substituting values for the variables on the right side of the formula is called evaluating the formula.
Section 5
Distance, Profit, and Average Formulas
The distance traveled by an object moving at a constant speed for a time is given by:
To find the profit , subtract costs from the revenue :
Section 6
Interest and Percentage Formulas
The interest earned on a principal at an annual rate for years is:
To find the percentage of a whole amount , multiply the percentage rate times the whole amount :
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter