2021 Algebra 1 SOL Review Part 4 of 4

Front

What is a direct variation?

Back

A direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed in the form y = kx, where k is a non-zero constant.

Front

What does the term 'set' refer to in mathematics?

Back

A set is a collection of distinct objects, considered as an object in its own right. For example, {1, 2, 3} is a set of numbers.

Front

How do you determine if a set of points represents a direct variation?

Back

A set of points represents a direct variation if the ratio of y to x is constant for all points.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line. This means it has a constant rate of change.

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 and solve for x.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions and equations.