Before Thanksgiving Challenge - Algebra 1 Review

Front

What is the solution to the equation -15 = 5a + 12 - 2a + 6?

Back

a = -11

Front

What is the equation of best fit for the starting salaries of health care workers since the year 2000 using linear regression?

Back

y = 839.721x + 27541.812

Front

If the width of a rectangle varies inversely with its length, and the width is 6 when the length is 24, what is the equation that shows this relationship?

Back

y = 144/x

Front

Is the relationship between width and length in a rectangle a direct variation?

Back

No

Front

What is the solution to the equation 4(a + 3) = -32?

Back

a = -11

Front

Define direct variation.

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx.

Front

Define inverse variation.

Back

Inverse variation is a relationship where the product of two variables is constant, expressed as xy = k.

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

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, meaning it has a constant rate of change.