Winter Final Review

Simplifying Expressions

100

Simplify

-27 + 30 - (-12) - 4

11

200

Simplify 

4x - 3 + 6y - 2x + y - 11

2x + 7y - 14

300

Evaluate for a = 2, b = 5, c = 10:

3ab + c/2

35

400

5² - 2(3² + 4)

-1

500

A submarine is traveling at a depth of 400m. A surface ship relays its position to a sub-sinker plane flying at an altitude of 600m. When the plane is directly above the sub, how far apart are they?

1000 m

Equations

100

Solve. 

-3(-2x + 2) + 8 = x - 23

x = -5

200

-4(6p + 3) - 7 = -139

p = 5

300

Solve:

8r - 33 = 8 + 3(8r - 3)

-2

400

2/5r + 1.5r = 1 + (9/10)

r = 1

500

Simplify

-(3x - 6) - 12x + 17 - 7x = -4(3x + 6) + 9

x = 5

Exponents

100

What two integers is the square root of 42 in between?

6 and 7

200

Simplify

(2a²)⁴

16a⁸

300

x²*3x²*y*a*y

3x⁴y²a

400

(2^-4/2²)⁴

1/2²⁴ or 2^-24

500

Simplify.

2x⁵y^-1/(2x)⁰

2x⁵/y

Slope

100

slope = -2

y-intercept = 4

Write the equation of the line in slope-intercept form

y = -2x + 4

200

Write the slope of a vertical line

undefined

300

Find the slope of the line that passes through the given points:

(1, 8) and (-16, 11)

-3/17

400

Order from least to greatest:

-7/9, 4/18, -5/6, 1/2

-5/6, -7/9, 4/18, 1/2

500

Write the equation of a line with points (4, -8) and (-12, -16) with a y-intercept of -7. 

y = 1/2x - 7

Scientific Notation

100

Write 1.2 x 10^-3 in standard form

0.0012

200

Simplify and write your answer in scientific notation

(3.4 x 10⁵) - (8.7 x 10⁴)

2.53 x 10⁵

300

Solve

(2.5 x 10³)(3 x 10^-2)

75

400

Divide

(6 x 10^-5)/(1.2 x 10^-10)

5 x 10⁵

500

Simplify and write in scientific notation:

(6 * 10⁶)(5 * 10⁴)

3 * 10¹¹