8th Grade Math Review

Transformations and Volume

100

Name 3 types of transformations

translation, rotation, reflection, dilation

200

What type of transformation can increase the size of a shape by a scale factor of 2?

dilation

300

A triangle begins with a area of 6 and shrimps to an area of 3. What transformation occurred and what was the scale factor?

Dilation with a scale factor of 1/2 

New Size ÷ Original Size

3 ÷ 6 = 1/2

400

what is the volume of a cylinder with a radius of 4 and a height of 4?

64π 

or

 64pi

500

what is the volume of a cone with a radius of 2 and a height of 3?

4π 

or

 4pi

 

Slope and Functions

100

What's the equation for slope-intercept form? (BONUS: Explain what each letter is!)

y = mx + b

m is the slope 

b is the y-intercept 

x is the input 

y is the output

200

What is the value of the expression 3x²-1 when x=-1

2

300

What is the slope of y=7x+12

7

400

Convert into slope intercept form (y = mx + b)

2x + y -10 = 9x - 7

y= 7x +3

500

There is a tree that is 18 feet tall. A leaf that that starts 2/3 up the tree falls off a branch. It falls towards the ground at a rate of 5 feet every 2 seconds. If you were to graph this falling leaf, what would be the slope and the y-intercept?

slope: -2.5

y-intercept: 12

Fluency

100

964 divided by 4

241

200

1/2 + 1/3 =

3/6 + 2/6 =

5/6

300

(−3) ∗ (−11) =

and 

(3) - (-11) =

33

and

14

400

Distribute and simplify:

1 - x(2 - 3)

1 - 2x + 3x = 

1 + x

500

8 ÷ 2(2 + 2) = ?

8 ÷ 2 x 4 =

4 x 4 = 

16!

Algebra

100

How can you find a solution to a system of equations that have been graphed?

Find the coordinate that the two lines cross.

200

Simplify:

4x − 3y − 9x + 5y

-5x + 2y

300

Solve for x:

3x - ( x - 2 ) = 6x - 2

2x + 2 = 6x - 2

4x = 4

x=1

400

Is (3,-4) a solution to the equation 3x - 4y = 25. Show work.

3(3) - 4(-4) = 25

9 + 16 = 25

Yes

500

Is (1, -2) a solution to the system of equations:

y = -5x + 3

y = x - 3

Show work.

-5x + 3 = x - 3

6 = 6x

x = 1

y = 1-3

y = -2.        YES

Triangles!!!

100

All angles in a triangle should add up to what degree?

180 degrees

200

What is the angle measure of a straight line?

180^o

300

If angle A in a triangle is 50^o, and that triangle was translated, what would be the measurement of angle A's corresponding angle?

50^o

400

A triangle has side lengths of 5, 9 and √106. is this a right triangle? Must show work to receive credit 

5² + 9² = √106²

^{25 + 81 = 106}

^yes

500

if ax + b = a(x + c)

and a, b and x do not = 0

what is the value of c?

ax + b = ax + ac

b = ac

b/a = c

Exponents and Square Roots

100

What is the square root of 81?

9

200

x³ * x¹² =

x³ * x¹² =

3 + 12 = 15 

x¹⁵

300

4.9 * 10^-4 / .7 * 10^-3

4.9 * 10^-4 / 7 * 10^{-4 =}

.7 * 10^-4 =

7 * 10^-5

400

What is the cubed root of 216?

6

500

Is 20/36 a repeating or terminating decimal?

Repeating 

36 is a multiple of 3