Table of contents

0. Review of College Algebra4h 43m
1. Measuring Angles40m
2. Trigonometric Functions on Right Triangles2h 5m
3. Unit Circle1h 19m
4. Graphing Trigonometric Functions1h 19m
5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
6. Trigonometric Identities and More Equations2h 34m
7. Non-Right Triangles1h 38m
8. Vectors2h 25m
9. Polar Equations2h 5m
10. Parametric Equations1h 6m
11. Graphing Complex Numbers1h 7m

0. Review of College Algebra

Solving Linear Equations

Trigonometry

0. Review of College Algebra

Solving Linear Equations

Previous problemNext problem

2:11 minutes

Problem 131

Textbook Question

Rewrite each expression using the distributive property and simplify, if possible. See Example 7.2 (x - 3y + 2z)

Verified step by step guidance

Identify the expression inside the parentheses: \(x - 3y + 2z\).

Apply the distributive property: multiply each term inside the parentheses by 2.

Calculate \(2 \times x\) to get \(2x\).

Calculate \(2 \times (-3y)\) to get \(-6y\).

Calculate \(2 \times 2z\) to get \(4z\).

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Distributive Property

The distributive property states that a(b + c) = ab + ac. This property allows us to multiply a single term by each term within a set of parentheses, effectively distributing the multiplication across the terms. It is essential for simplifying expressions and solving equations in algebra and trigonometry.

Simplification of Expressions

Simplification involves reducing an expression to its simplest form by combining like terms and eliminating unnecessary components. In the context of the distributive property, this means after distributing, you should combine any similar terms to make the expression more manageable and easier to interpret.

Like Terms

Like terms are terms that contain the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not. Identifying and combining like terms is crucial in the simplification process, as it allows for a more concise expression and clearer understanding of the mathematical relationships involved.