Algebra Review SM1-Part 3

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

If a person with a mass of 90 kg contains 60 kg of water, how much water is in a person with a mass of 75 kg?

Back

50 kg water.

Front

How do you find the difference of two polynomials?

Back

To find the difference, subtract the coefficients of like terms from each polynomial.

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 calculate f(10) for the function f(x) = 2x - 10?

Back

f(10) = 2(10) - 10 = 10.

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you determine the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of two or more monomials, while a monomial is a single term.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.