Be Rational!

Solve for b and check your answer.

-2/5(-15b + 10) – 3b = 1/6(36 - 12b)

8.NS.1, 8.NS.2

Extreme Radicals and Radical Radicals

What numerical expression is equivalent to

27 ÷ 25?

8.EE.1, 8.EE.2

Scientific Notation

The average distance from Jupiter to the Sun is about 78784 x 108 km. How should this distance be written in standard form?

8.EE.3, 8.EE.4

Slippery Slope

What is the solution to this equation?

3(5y – 6) – 4 = -3y + 14

8.RR.5, 8.RR.6

Balance those Equations

Solve for a.

-½(36a – 8) = ¾(4 - 24a)

8.EE.7a, b

Two Variable Problems

What is the solution for this equation?

2x + 7 + 4x = 6(x + 1) + 1

8.EE.8

Funky FunctionsTwo plumbing companies charge a flat fee, plus an additional

cost per hour of service. Martin's Plumbing uses the equation y = 40x + 85 to determine the total cost of providing x hours of service to a customer. The table below shows the cost to use Alex's Plumbing for different numbers of hours of service.

What is the difference in the cost per hour charged by the two companies?

8.F.1, 8.F.2, 8.F.3

Number of Hours (x) Total Cost (y)

3 $240.00

7 $460.00

9 $570.00

Modeling Relationships

What is the equation of a line that has a slope of 2 and passes through the point (3, 1)?

8.F.4

Graph This!

In the figure, lines g and h are parallel. What is the measure of <x?

8.F.5

Transforming Transformations

The coordinates of the vertices of triangle KLM are K(1,3), L(1,1), M(4,1). The triangle will be translated 3 units to the right and 4 units up. What will be the coordinates of the image point K'?

8.G.1, 8.G.2, 8.G.3

Geometry Gems

Line k is parallel to line i.

Angle 1 measures 10y + 6 and angle 4 measures

7y + 4.

What is the value of y?

What is the measure of angle 7?8.G.4, 8.G.5

Fun with the Pythagorean Theorem

What is the diagonal measurement of the television screen shown in the picture?

8.G.6, 8.G.7, 8.G.8

Formula, Formula, Formula

The formula for the volume of a cone is

V = 1/3 π r2 h.

Use the formula to find the height of a cone whose volume is 200 m3 and radius is 10 m.

8.G.9

Scatterbrained

8.SP.1, 8.SP.2

Data, Data, DataThe scatterplot shows the average amount of milk

consumed by an adult over a 30-year period in the U.S. Based on the scatterplot, approximately what will be the consumption of milk for an adult in the year 2015?

8.SP.3, 8.SP.4