Algebra Concepts and Connections Unit 1 Test Spring

What is the value of f(2) if f(x) = 4x?

• 6

• 8

• 10

• 12

What is the slope in the equation y = 3x + 2?

• 1

• 2

• 3

• 4

What is the purpose of graphing a linear equation?

• To visualize the relationship between variables and identify solutions to the equation.

• To calculate the slope of the line only.

• To find the x-intercept and y-intercept without any context.

• To determine the maximum value of the equation.

What does the y-intercept represent in a linear equation?

• The point where the line crosses the x-axis.

• The value of y when x = 0.

• The slope of the line.

• The maximum value of y in the equation.

What is a quadratic function?

• A polynomial function of degree 1, typically in the form f(x) = ax + b.

• A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

• A polynomial function of degree 3, typically in the form f(x) = ax^3 + bx^2 + cx + d.

• A linear function represented by a straight line on a graph.

What is the standard form of a linear equation?

• Ax + By = C, where A, B, and C are integers.

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax^2 + bx + c, where a, b, and c are constants.

• Ax^2 + By^2 = C, where A, B, and C are integers.

What is the domain of the set of coordinates (-2,4), (-3,5), (-4,6)?

• -1, -2, -3

• -2, -3, -4

• -4, -5, -6

• 0, 1, 2

How do you determine if a function is increasing or decreasing?

• A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall.

• A function is increasing if its output values fall as the input values increase, and decreasing if the output values rise.

• A function is increasing if it has a positive slope, and decreasing if it has a negative slope.

• A function is increasing if it is defined on a closed interval, and decreasing if it is defined on an open interval.

Write the equation in slope-intercept form for a dance club that costs $4 per month plus a $30 startup fee.

• y = 4x + 30

• y = 30x + 4

• y = 4x - 30

• y = 30 - 4x

How can you determine if a function is linear or nonlinear?

• A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

• A function is linear if it has a variable rate of change and forms a curve on a graph.

• A function is linear if it can be expressed as a polynomial of degree two or higher.

• A function is linear if it intersects the y-axis at any point.