8th Grade Cumulative

Transformations

100

Point P is located at (-4, 3). What are the coordinates of P' after a transformation up 3 and left 2?

(-6, 0)

200

Point Q is located at (2, 5). After a transformation, Q' is located at (4, -2). How was Q transformed?

Translation, 2 right, 7 down

300

Point B is located at (-4, -2). Where is B' after a rotation 90 degrees clockwise?

(-2, 4)

400

Point C is located at (4, -6). Where is C' after a dilation of 1/2 and reflection in the y axis?

(-2, -3)

500

A quadrilateral is transformed in order to produce another quadrilateral that is similar, but not congruent to the original. What sort of transformation must have been applied?

Dilation

Scientific Notation

100

4 x 10³

4000

200

1.25 x 10⁵

125,000

300

1.6 x 10^-5

0.000016

400

0.0000007

7 x 10^-7

500

0.0025 x 10⁴

25

Multiplication Laws 1

100

12² x 12⁴

12⁶

200

(1/3)² x (1/3)⁴ x (1/3)^-3

(1/3)³

300

(x³ y⁴ z)(x⁴ y^-2 z⁰)

x⁷ y² z

400

(5r^-2 p⁵ q¹²)(-3r² p⁶ q^-6)

-15p¹¹ q⁶

500

(-3 d^1/3 f^2/5 s^1/4)(-2 d^8/3 f^18/5 s^11/4)

6 d³ f⁴ s³

Multiplication Laws 2

100

(2 x 10⁴)(3 x 10⁸)

Give you answer in Scientific Notation

6 x 10¹²

200

(4 x 10^3) / (2 x 10^2)

Give you answer in Scientific Notation

2 x 10

300

(2.1 x 10^-5)(6 x 10⁸)

Give you answer in Scientific Notation

1.26 x 10⁴

400

(4.4 x 10^-15)(2.1 x 10¹⁰)

Give you answer in Scientific Notation

 9.24 x 10^-5

500

(2.5 x 10⁸)(5 x 10^-12)(4 x 10¹⁰)(0.002 x 10⁶)

Give you answer in Scientific Notation

1 x 10¹¹

Combining Like Terms

100

4a - 8b - 7a + 2a - 3b

-a - 11b

200

-12x + 14y - 3z + 4x - 5y + -z

-8x + 9y - 4z

300

7m - 6q - 8m + 3q + m + 2q

-q

400

3 - 4a + 2 + 6a

5 + 2a

500

4x^2 + 2x + 9 - 7x^2 - x + 3

-3x^2 + x + 12

Distributive Property

100

-3(2x + 3y)

-6x - 9y

200

-1/2(12x - 8y)

-6x + 4y

300

3 + 2(4a - 9)

8a - 15

400

2/3(1/3x + 2/5)

2/9x + 4/15

500

-7 - 4(2a - 5) + 6

- 8a + 19