8th Grade Math GMAS Review

Linear Equations

100

Linear or Non-Linear?

y = 2x + 5

What is linear.

200

Linear or Non-Linear?

y = 3x^2 - 2

What is non-linear.

300

Linear or Non-Linear?

y = 5/x + 6

What is non-linear.

400

Solve for b.

y = mx + b

What is b = y - mx?

500

Solve for y.

ax + by = c

What is y = (c - ax)/(b)?

Systems of Equations

100

How many solutions?

3x - 2y = 6

x + y = -8

What is one solution (-2, -6).

200

How many solutions?

-2x + 4y = 4

x - 2y - 6

What is no solution.

300

How many solutions?

y = 2x + 3

3x + 2y = 20

What is one solution (2,7)?

400

Joanna went school supply shopping. She spent $27.68 on notebooks and pencils. Notebooks cost $2.02 each and pencils cost $0.95 each. She bought a total of 19 notebooks and pencils. How many of each did she buy?

n + p = 19

2.02n + 0.95p = 27.68

What are  9 notebooks and 10 pencils?

500

A group of children and their parents went to the skating rink. There were a total of 30 people in the group. The cost of each adult was $12 and the cost of each child was $8. The total amount paid was $280. How many adults and children were in the group?

a + c = 30

12a + 8c = 280

What is 10 adults and 20 children?

Standard to Slope-Intercept Form

100

-2x + 3y = 12

What is y = 2/3x + 4?

200

4x - 2y = 10

What is y = 2x - 5?

300

-3x + 6y = 12

What is y = 1/2x + 2?

400

9x - 9y = -81

What is y = x + 9?

500

-6x + 4y = -12

What is y = 3/2x - 3?

Pythagorean Theorem

100

Find the missing side. Round to the nearest tenth.

a = 8 in

b = 6 in

c = ?

What is c = 10 in?

200

Find the missing side. Round to the nearest tenth.

a = 12 in

b = ?

c = 13 in

What is b = 5 in?

300

Find the missing side. Round to the nearest tenth.

a = 7 cm

b = 6 cm

c = ?

What is c = 9.2 cm?

400

Find the missing side. Round to the nearest tenth.

a = 14 ft

b = ?

c = 20 ft

What is b = 14.3 ft?

500

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall? Round to the nearest hundredth.

What is 9.54 ft above the ground?

Volume

100

Find the volume. Round to the nearest hundredth.

Cylinder v = (pi)(r^2)(h)

diameter = 12 m; height = 6 m

What is volume = 678.58 m^3?

200

Find the volume. Round to the nearest hundredth.

Cone v = (1/3)(pi)(r^2)(h)

radius = 8 cm; height = 18 cm

What is volume = 1,206.37 cm^3?

300

Find the volume. Round to the nearest hundredth.

Sphere v = (4/3)(pi)(r^3)

radius = 6 cm

What is the volume = 904.78 cm^3?

400

Find the volume. Round to the nearest hundredth.

Cone v = (1/3)(pi)(r^2)(h)

diameter = 10 cm; height = 6 cm

What is volume = 157.08 cm^3?

500

Find the volume. Round to the nearest hundredth.

Sphere v = (4/3)(pi)(r^3)

diameter = 8 m

What is the volume = 268.08 m^3?