Algebra 1 Review

Front

What is the y-intercept of the line represented by the equation y = -1?

Back

The y-intercept is -1.

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

Simplify the equation 5x + 6 = 2 + 3x and determine the number of solutions.

Back

The simplified equation is x = -2, which has one solution.

Front

What is the solution to the system of equations represented by the points (1,3)?

Back

The solution to the system is (1,3).

Front

Which function represents an increasing exponential function with a y-intercept of 50?

Back

The function is y = 50(1.4)^x.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean if an equation has no solutions?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is an example of a function that has infinite solutions?

Back

An example is the equation 2x + 4 = 2(x + 2), which simplifies to 0 = 0.