Understanding Basic Algebra Concepts

This video is a midterm review for the fall semester 2021-2022, covering topics such as the vertical line test, solving equations, using the distributive property, handling fractions, and writing and evaluating expressions. The instructor provides step-by-step explanations and examples to help students understand these concepts, preparing them for the upcoming midterm exam.

Which of the following graphs does not pass the vertical line test?

• A straight line

• A hyperbola

• A parabola

• A circle

What is the first step in solving an equation?

• Multiply by the variable

• Isolate the variable

• Simplify both sides

• Add fractions

If you have a negative number multiplying a variable, what operation should you use to isolate the variable?

• Addition

• Multiplication

• Division

• Subtraction

When distributing a number outside of parentheses, what is the correct operation?

• Division

• Multiplication

• Subtraction

• Addition

What is the lowest common denominator of 4 and 2?

• 2

• 4

• 6

• 8

What is the first step in solving the equation 2m - 4 = 16?

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 2

• Divide both sides by 2

If x = -3, what is the value of the expression -2x^2 - 7x + 5?

• 10

• 0

• -8

• 8

What does the word 'difference' indicate in a math problem?

• Division

• Multiplication

• Subtraction

• Addition

In the expression '7 less than the product of 9 and x', what does 'less than' imply?

• Add 7 to 9x

• Subtract 7 from 9x

• Multiply 7 by 9x

• Divide 9x by 7

What is the product of 9 and x in the expression '7 less than the product of 9 and x'?

• 9 + x

• 9 - x

• 9x

• x/9