Mastering Linear Functions and Equations

What is an equation?

• A mathematical sentence that contains an equal sign

• A mathematical sentence without an equal sign

• A mathematical sentence that describes a function

• A mathematical sentence that contains an inequality symbol

How do you solve an equation with variables on both sides?

• By adding the variables together

• By subtracting one variable from the other

• By dividing both sides by the coefficient of the variable

• By getting variables on the same side and simplifying

What does the slope-intercept form of a linear equation look like?

• b = mx + y

• y = mx + b

• mx - b = y

• y - mx = b

How do you find the slope of a line given two points?

• x2 - x1 + y2 - y1

• (y2 - y1) / (x2 - x1)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

What method involves graphing two equations to find their point of intersection?

• Graphing

• Elimination

• Matrix

• Substitution

When solving a system of equations by substitution, what is a crucial first step?

• Graphing both equations

• Finding the slope

• Eliminating one variable

• Setting one equation equal to a variable

What is the vertical line test used for?

• To graph linear inequalities

• To find the slope of a line

• To determine if a graph represents a function

• To solve linear equations

What does the domain of a function represent?

• The intercepts of the graph

• The slope of the graph

• The x-values of a graph

• The y-values of a graph

How do you write the explicit formula for an arithmetic sequence?

• a_n = d(a_1 + n - 1)

• a_n = a_1d^n

• a_n = a_1 + d/n

• a_n = a_1 + (n - 1)d

What is the common difference in an arithmetic sequence?

• The product of the first and last term

• The difference between consecutive terms

• The sum of all terms divided by the number of terms

• The difference between the first and last term