Understanding Basic Algebra Concepts

This video tutorial covers solving linear equations, including those with variables on both sides. It demonstrates using the distributive property, correcting mistakes, and applying advanced techniques. The tutorial also explores graphing linear equations and applies these concepts to a real-world walkathon problem, emphasizing understanding and practical application.

What is the first step in solving an equation where the variable appears on both sides?

• Use the distributive property

• Divide both sides by the variable

• Add the same number to both sides

• Multiply both sides by zero

What mistake did Claire make when multiplying 12 times 5?

• She divided instead of multiplying

• She added instead of multiplying

• She wrote 72 instead of 60

• She subtracted instead of adding

How do you correct a negative times a negative error?

• Add a positive number

• Multiply by zero

• Leave it as negative

• Change the sign to positive

What is the reciprocal of four-ninths?

• Nine

• One-fourth

• Nine-fourths

• Four-ninths

What is the value of r in the equation 4r = 16?

• 2

• 4

• 8

• 16

Which ordered pair is a solution to the equation of the line?

• (3, 2)

• (0, 0)

• (1, 1)

• (5, 5)

What does an infinite number of solutions on a line mean?

• The line has no solutions

• The line extends indefinitely

• The line is finite

• The line is a circle

What is the slope of the line in the walkathon problem?

• One

• Negative three

• Zero

• Positive three

How does the number of miles remaining change as hours walked increase?

• It stays the same

• It increases

• It decreases

• It doubles

What axis represents the hours walked in the walkathon graph?

• W-axis

• Y-axis

• Z-axis

• X-axis