Understanding Linear Equations and Functions

What is the general form of a linear equation?

• y = a/x + b

• y = mx + b

• y = ax^3 + bx^2 + c

• y = ax^2 + bx + c

Which of the following is NOT a characteristic of a linear equation?

• Variables are added or subtracted

• Variables are multiplied together

• No variables in the denominator

• Variables are multiplied by a constant

Why is the equation y = x^3 + 2x + 1 not considered linear?

• It has a constant term

• It involves a square root

• It has a variable in the denominator

• It has a variable with an exponent greater than one

How many Fahrenheit degrees are equivalent to 1 Celsius degree?

• 1.0

• 2.0

• 1.5

• 1.8

What is the formula to convert Celsius to Fahrenheit?

• F = 2C + 32

• F = C/1.8 + 32

• F = 1.8C + 32

• F = C + 32

In the standard form of a linear equation, what must be true about the coefficients?

• They must all be positive

• They must be integers with a greatest common factor of one

• They must be fractions

• They must be negative

What is the standard form of a linear equation?

• ax^2 + bx + c = 0

• y = a/x + b

• y = mx + b

• ax + by = c

How do you find the x-intercept of a graph?

• Set y to zero and solve for x

• Set x to zero and solve for y

• Find where the graph crosses the y-axis

• Find where the graph crosses the origin

What is the y-intercept of a graph?

• The point where the graph crosses the y-axis

• The point where the graph crosses the x-axis

• The point where the graph crosses the origin

• The point where the graph is horizontal

Why is it useful to find the intercepts of a graph?

• They are used to find the area under the curve

• They determine the slope of the line

• They simplify the process of graphing linear equations

• They help in solving quadratic equations