Algebra S1 Final Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) where x is the input.

Front

What does T(52) = 10 indicate in a function?

Back

It indicates that when the input r is 52, the output (amount of hydrogen left) is 10.

Front

What is slope-intercept form of a linear equation?

Back

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

Front

How do you find the slope from an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the solution to a system of equations?

Back

The solution is the point (x, y) where the two equations intersect on a graph.

Front

How do you solve the system of equations 4x + y = 9 and 2x - 3y = 1?

Back

By substitution or elimination, the solution is (2, 1).

Front

What are x-intercepts and y-intercepts?

Back

The x-intercept is where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

How do you find the x-intercept of the equation 8x + 4y = 16?

Back

Set y = 0 and solve for x: 8x = 16, so x = 2.

Front

How do you find the y-intercept of the equation 8x + 4y = 16?

Back

Set x = 0 and solve for y: 4y = 16, so y = 4.

Front

What does the graph of g(x) = \frac{3}{4}x + 6 look like?

Back

It is a straight line with a slope of \frac{3}{4} and a y-intercept of 6.