801 Math Test Review

Laws of Exponents

100

Simplify

a⁴ (a⁵) =

a⁹

200

Simplify:

4⁸ / 4⁵ =

4³

300

Simplify:

(3⁶)⁴

3²⁴

400

Simplify:

b⁸ / b^{-2 =}

b¹⁰

500

Simplify:

(a⁴)(a²) / a³

a³

Scientific Notation

100

Re-write in Scientific Notation:

72,040,000,000

7.204 x 10¹⁰

200

Re-write in Standard Form:

3.24 x 10⁹

3,240,000,000

300

Simplify:

(3.2 x 10⁴) (2.8 x 10³)

Give your answer in Scientific Notation

8.96 x 10⁷

400

(6.8 x 10⁵) / (1.6 x 10³) = 

Give your answer in Scientific Notation

4.25 x 10²

500

(4.9 x 10⁶) + (2.4 x 10⁴) = 

Give your answer in Scientific Notation

4,900,000 + 24,000 = 

4,924,000 = 

4.924 x 10⁶

Transformations

100

A shape is transformed so that the resulting shape is twice the area of the original shape. What type of transformation must have occurred?

Dilation

200

Point A is located at (4, 3). 

What are the coordinates of A' after a reflection over the x axis?

(4, -3)

300

Point B is located at (2, 5).

What are the coordinates of B' after a translation down 8 and right 1?

(3, -3)

400

Point C is located at (5, -2). After a transformation, it is now located at (-5, 2). What sort of transformation occurred? Be specific.

Reflection in y axis.

500

Point D is located at (2, 6).

After a transformation it is located at (6, -2).

What sort of transformation occurred? Be specific

Rotation 90 clockwise

Solving Equations

100

2m - 9 = 15

m = 12

200

p/4 + 10 = 28

p = 72

300

3m + 15 = 8 + 3m

No Solution

400

2(2n - 1) + 6 = 4n + 4

Infinitely Many Solutions

500

2.6 - 6y = 3y + 4.4

y = -0.2

Slope Intercept

100

What is the slope in this equation?

12 = 8 - 2x

-2

200

Find the slope between (4, 9) and (2, 4)

5/2

300

Find the slope for the table below:

x    2    5    10

y   -3    6    21

3

400

Find the slope between the points (4.5, 16) and (7.5, 12)

-4/3

500

Which equation has the largest y-intercept?

8x + 16 = 2y

3y = 9x + 30

2y - 30 = 4x

2y - 30 = 4x

2y = 4x + 30

y = 2x + 15

y intercept is 15