Algebra 1 Midterm Review

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function represents how much the output (y) changes for a unit change in the input (x). It is often represented by the slope of the line.

Front

How do you solve for y in the equation 7x + 2y = 20?

Back

To solve for y, isolate y on one side: 2y = -7x + 20, then y = -7/2x + 10.

Front

What is the value of f(-8) if f(x) = 3(6 - x)?

Back

f(-8) = 3(6 - (-8)) = 3(6 + 8) = 3(14) = 42.

Front

What does a graph representing $500 earned for every 8 hours worked indicate?

Back

It indicates that for every 8 hours of work, $500 is earned, which translates to a rate of $62.50 per hour.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27. Then add 3 to both sides: 6x = 30. Finally, divide by 6: x = 5.

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 is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Front

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

Back

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

Front

What does the term 'constant' mean in algebra?

Back

A constant is a fixed value that does not change, represented by a number.

Front

What is the difference between dependent and independent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.