Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

1. Equations & Inequalities

Linear Equations

College Algebra

1. Equations & Inequalities

Linear Equations

Previous problemNext problem

0:52 minutes

Problem 7

Textbook Question

Match each equation in Column I with the correct first step for solving it in Column II. √(x+5) = 7

Verified step by step guidance

Identify the equation: \( \sqrt{x+5} = 7 \).

Recognize that the equation involves a square root.

To eliminate the square root, square both sides of the equation.

This will result in: \( (\sqrt{x+5})^2 = 7^2 \).

Simplify both sides to get: \( x + 5 = 49 \).

Verified video answer for a similar problem:

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

Video duration:

52s

Play a video:

Was this helpful?

Key Concepts

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

Square Root Properties

Square root properties state that if √a = b, then a = b². This is essential for solving equations involving square roots, as it allows us to eliminate the square root by squaring both sides of the equation.

Isolating the Variable

Isolating the variable is a fundamental step in solving equations. It involves rearranging the equation to get the variable on one side by itself, which often requires performing inverse operations to both sides of the equation.

Inverse Operations

Inverse operations are pairs of mathematical operations that undo each other, such as addition and subtraction or multiplication and division. Understanding these operations is crucial for manipulating equations and solving for unknown variables effectively.