TSIA2 Review

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you determine if an ordered pair is a solution to a linear equation?

Back

An ordered pair (x, y) is a solution to a linear equation if substituting x and y into the equation makes it true.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem: if you know the lengths of two sides, you can find the third side by rearranging the formula a² + b² = c².

Front

What does it mean for two variables to be directly proportional?

Back

Two variables x and y are directly proportional if there is a constant k such that y = kx.

Front

How do you find the constant of proportionality in a direct variation problem?

Back

To find the constant of proportionality k, divide y by x (k = y/x) when given a pair of values.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the formula for the sum of three consecutive odd integers?

Back

If the smallest odd integer is n, the sum of three consecutive odd integers is n + (n + 2) + (n + 4) = 3n + 6.

Front

How do you set up an equation for a word problem involving consecutive integers?

Back

Define the first integer as a variable (e.g., n) and express the next integers in terms of that variable, then set up an equation based on the problem's conditions.