8MA - First Semester Review (all)

Front

What is the formula to find the volume of a cylinder?

Back

The formula is V = πr²h, where V is the volume, r is the radius, and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How can you rearrange the formula V = πr²h to find the height, h?

Back

The height can be found using the equation h = \frac{V}{πr²}.

Tags

CCSS.HSA.CED.A.4

Front

What does the slope represent in the equation y = 30.5t + 8.7?

Back

The slope (30.5) represents the rate of change of the height of the balloon every minute.

Tags

CCSS.HSF.LE.B.5

Front

What does the y-intercept represent in the equation y = 30.5t + 8.7?

Back

The y-intercept (8.7) is the initial height of the balloon.

Tags

CCSS.HSF.LE.B.5

Front

How do you calculate the total cost for a group visiting the Georgia Aquarium?

Back

Total cost = (Number of people × Cost per ticket) + Cost of private tour guide.

Front

What is the total cost for 55 people to attend the Georgia Aquarium if tickets cost $53 each and the tour guide costs $245?

Back

Total cost = (55 × 53) + 245 = $3160.

Tags

CCSS.7.EE.B.3

Front

What is a linear relationship?

Back

A linear relationship is one where there is a constant rate of change between two variables, represented by a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

What is a nonlinear relationship?

Back

A nonlinear relationship is one where the rate of change between two variables is not constant, resulting in a curve on a graph.

Tags

CCSS.8.F.A.3

Front

How can you determine if a relationship is linear or nonlinear from data?

Back

You can plot the data on a graph; if the points form a straight line, it is linear; if they form a curve, it is nonlinear.

Tags

CCSS.8.F.A.3

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as m = \frac{(y_2 - y_1)}{(x_2 - x_1)}.

Tags

CCSS.8.EE.B.5