M8H Review

Lines and Systems

100

State the slope of the line represented by the equation y = 7x - 12. 

7

200

Find the slope of the line that passes through the points (2, 4) and (5, 13).

3

300

Solve the following system of equations: 

y = 3x  

x + y = 20.

(5,15)

400

Solve the system.

y = 2(x + 5) 

- 2x + y = 10.

Infinitely Many Solutions (IMS)

500

Two numbers have a sum of 25 and a difference of 7. Find the numbers.

9 and 16

Angles and Triangles

100

If two angles of a triangle are 20 degrees and 50 degrees, find the measure of the third angle.

110 degrees

200

Two parallel lines are cut by a transversal. If one interior angle is 115 degrees, find the measure of its corresponding angle.

115 degrees

300

Calculate the length of the hypotenuse for a right triangle with legs measuring 9 inches and 12 inches.

15 inches

400

What is the sum of the interior angles of a hexagon AND what is the sum of the exterior angels of a hexagon?

Interior = 720

Exterior = 360

500

Find the distance between the points (1, 4) and (7, 12).

10 units

Exponents and Radicals

100

Simplify fully: 5^-2

1/25

200

Write in Scientific Notation: 

(2 x 10³)(6 x 10⁶)

1.2 x 10¹⁰

300

Fully simplify: 

(x⁵y)²/x³

x⁷y²

400

Simplify √(50x⁹)

5x⁴√(2x)

500

simplify the cube root of 40x⁶y¹¹

2x²y³(cube root of 5y²)

Functions and Real Numbers

100

Classify using the most restrictive class: √8

irrational 

200

Write the repeating number 0.2929292929... as a fraction.

29/99

300

Function or Not? EXPLAIN WHY. 

(1, 5), (2, 5), (3, 5).

Yes. Each x input is mapped to just one y output.

400

Classify using the most restrictive class: √4

natural 

500

Estimate the value of the square root of 50 to the nearest tenth. NO CALCULATOR 

7.1

Transformations and 3D Figures

100

A triangle is reflected over the y-axis. If one vertex is at (3, 7), what are the coordinates of the new vertex?

(-3,7)

200

A cone has a radius of 3 feet and a height of 10 feet. Calculate the volume in terms of pi.

30pi

300

A cylinder has a volume of 99pi cubic inches and a radius of 3 inches. Find the height of the cylinder.

11

400

A rectangle with an area of 4 is dilated by a scale factor of 5.

 Find the area of the new rectangle.

100 

500

A small shipping box has a volume of 20 cubic inches. A large shipping box is similar to the small box and has been created using a scale factor of 4. What is the volume of the large shipping box?

1280