8th grade End of Year Math Review

Exponents/scientific notation/ roots

100

What is the 8 to the power of 4?

4096

200

What is the cube root of 117,649?

49

300

How would you write 896400000000 in scientific notation?

8.964 x 10¹¹

400

Solve 8² x 8⁴

8⁶ or 262,144

500

Solve (4.2 x 10³)(3.2 x 10⁴) 

Keep in scientific notation

1.344 x 10⁸

Rational vs Irrational numbers

100

Is the square root of 49 Rational or irrational?

Rational

200

In the categories of rational, integers, whole numbers, and natural numbers, where does 3/4 fall under which labels?

Rational and integers

300

Is the square root of 5 rational or irrational?

irrational

400

What labels would 0 all have?

Rational, Irrational, Intergers, Whole, and Natural, Real

Real, Rational, Integers, whole

500

Name the types of rational and irrational numbers.

Irrational is just irrational

Rational is whole, integers, and natural.

Functions

100

Is the following a function?

x       y     

1      2

0      2

3      4

yes

200

Explain what a function is.

a function is where x does not repeat or it passes the vertial line test.

300

Is the following a function, explain.

x: 5,5, 6, 6, 7,7,

Y: 0, 0, 0, 0, 0, 0

No, x repeats.

400

Explain the vertical line test, function vs non function.

function: passes the vertical line test, can drag my pencil across and it only hits the line once.

Not function: does not pass vertical line test and when I drag my pencil across it his the line or dots more than once.

500

function or not? explain

x:  -1, 0, 1, 2, 8, 0, -1

y: 1, 2, 3, 4 ,5 ,6, 7

no, x repeats

Angle relationships and triangles

100

What type of triangle has a box in the corner? What's the degrees?

Right triangle, 90 degrees.

200

Explain vertical angles. (looking for 2 main things)

Vertical angles are opposite of each other and are equal to each other.

300

What do supplementary angles add up to?

180

400

Solve this pythagoreon theorem.

Hypotnuse: ?

Leg: 14 cm

Leg: 12 cm

round to the tenth if needed.

C =18.4 cm

500

Pythagorean theorem find the missing leg.

Hypotnuse: 25 in

Leg: 15in

Leg:? 

leg= 20 in

Volume/ transformations

100

True or false: A translation changes shape.

False, a translation slides left, right, up or down

200

Find the volume of a cylinder with a radius of 6 in and a height of 32 in. Round to the tenth. 

3,619.1 in³

300

Tell me the rules for an x = and a y = line.

x = line is vertical

y = line is horizontal

400

Find the missing dimension. 

A sphere has a volume of 62,308pi cm³, what is the radius?

36 cm

500

Find the new set of coordinates, reflecting over the x axis.

A (2, 3)

B (9, 2)

C (-4, -4) 

A' (2,-3)

B' (9, -2)

C' (-4, 4)