Fall Semester Exam Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis. It can be found by setting x = 0 in the equation of the line and solving for y.

Front

What is the shortest distance between two points?

Back

The shortest distance between two points is a straight line connecting them. In geometry, this is often calculated using the distance formula.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations. For example, in the equation 3x + 4 = 2x - 4, subtract 2x from both sides and then subtract 4 from both sides to find x.

Front

What does the term 'intercept' mean in graphing?

Back

An intercept is a point where a line crosses an axis. The x-intercept is where the line crosses the x-axis, and the y-intercept is where it crosses the y-axis.

Front

What is the formula for calculating distance?

Back

Distance can be calculated using the formula: Distance = Speed × Time.

Front

What is the significance of the slope in a graph?

Back

The slope of a graph represents the rate of change between two variables. It indicates how much one variable changes in relation to another.

Front

How do you determine the solution to a system of equations?

Back

The solution to a system of equations is the point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations in the system.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the purpose of a graph in mathematics?

Back

Graphs are used to visually represent data and relationships between variables, making it easier to analyze and interpret information.