Algebraic Expressions and Functions

This video tutorial covers a chapter one test review, focusing on algebraic expressions, verbal translations, order of operations, simplifying expressions, and functions. It provides step-by-step solutions to various math problems, emphasizing the importance of understanding mathematical language and operations. The tutorial also includes graph analysis and function evaluation, helping students prepare for their test by reinforcing key concepts and problem-solving techniques.

How would you write the expression for '4 times x squared plus the difference of 5 and x'?

• 4x^2 + 5 + x

• 4x^2 - (5 - x)

• 4x^2 + (5 - x)

• 4x^2 - (x - 5)

What is the verbal expression for '5y - 7'?

• The sum of 5 and y minus 7

• 5 times y increased by 7

• 5 times y decreased by 7

• The product of 5 and y plus 7

What is the result of evaluating the expression '6 - 3^2 * 7 + 2' using the order of operations?

• 57

• -55

• 55

• -57

When simplifying '50 - 3 * 4 + 16 / 2^3', what is the correct order of operations?

• Division, Exponents, Addition, Subtraction, Multiplication

• Multiplication, Division, Addition, Subtraction, Exponents

• Exponents, Multiplication, Division, Addition, Subtraction

• Addition, Subtraction, Multiplication, Division, Exponents

How do you simplify the expression '5x^2 + 6x^3 - 2x^2'?

• 5x^2 + 6x^3

• 3x^2 + 6x^3

• 5x^2 + 4x^3

• 3x^2 + 4x^3

What is the result of distributing '-4' in the expression '-4(3a + 4b - 5a)'?

• 12a + 16b - 20a

• -12a - 16b + 20a

• 12a - 16b + 20a

• -12a + 16b - 20a

What is the domain of the set of ordered pairs {(0,4), (2,3), (-4,5), (-6,3)}?

• {0, 2, -4, -6}

• {4, 3, 5}

• {0, 2, 4, 6}

• {-4, -6, 0, 2}

How can you determine if a relation is a function?

• All y-values are unique

• All x-values are unique

• All x-values are repeated

• All y-values are repeated

What is the value of f(3) if f(x) = x^2 - 4x + 2?

• -1

• 2

• 1

• 0

Which of the following statements is true about the graph of a function?

• The entire function is increasing

• The x-intercept is 3

• The y-intercept is negative 3

• The graph has line symmetry