Algebra 1 Semester 1 Review

Front

What is the solution set for the inequality y < 1 - 6x?

Back

The solution set includes all coordinate pairs (x, y) that satisfy the inequality. For example, (-1, 1) is in the solution set.

Front

In the equation y = 1.5x + 20, what does the coefficient 1.5 represent?

Back

The coefficient 1.5 represents the price per ride at the amusement park.

Front

If y = -4/5x - 2, how do you find the value of x when y = -9?

Back

Substitute -9 for y and solve for x: -9 = -4/5x - 2.

Front

What does the inequality x > 3 represent on a number line?

Back

It represents all numbers greater than 3, not including 3 itself.

Front

What type of function is characterized by a constant rate of change?

Back

Linear function.

Front

What is the general form of a linear equation?

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

How do you determine if a point (x, y) is a solution to an inequality?

Back

Substitute the x and y values into the inequality and check if the statement is true.

Front

What is an exponential function?

Back

A function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the difference between a linear function and an exponential function?

Back

A linear function has a constant rate of change, while an exponential function grows or decays at a rate proportional to its current value.