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.

Tags

CCSS.8.G.B.7

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.

Tags

CCSS.8.G.B.7

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine if two lines are perpendicular?

Back

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

Tags

CCSS.8.EE.B.6

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.

Tags

CCSS.6.EE.B.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.

Tags

CCSS.HSA.CED.A.1