MSEI

Multistep Equations

100

7 - 14m = 2m - 5

m = 3/4

200

-10b + 5 = 7b + 5

b = 0

300

8x + 11 = 2(4x - 7) + 25

Infinite Solutions

400

n+8/5 = n-1/2

n = 7

500

x+2/6 = 2x-10/8

x = 19

Literal and AV Equations

100

|-7a| = 28

{-4,4}

200

|4n + 2| =34

{-9, 8}

300

P = 2L + 2W

Solve for W

P - 2L/2

400

k = mv²/2

Solve for v

Square root of 2k/m

500

3/2|4r - 4| -24 =-21

{1/2, 3/2}

Inequalities

100

6x + 1 < 9 - 2x

(-∞, 1)

200

5x - 7(x + 1) > -9

(-∞, 1)

300

-2 < 2(x-6) ≤ 4

(5, 8]

400

10|x - 4| - 3 > 47

(-∞, -1) (9, ∞)

500

1/2|4x - 4| + 11 ≤ 15

[-1, 3]

Word Problems

100

The larger of two numbers is 4 more than the smaller. If the sum of the numbers is 74, what are the 2 numbers. 

35, 39

200

The length of a rectangle is 5 inches more than 4 times its width. If the perimeter is 90 inches, what are the dimensions of the rectangle?

8in, 37in

300

If the sum of two consecutive numbers is 85, find the numbers.

42, 43

400

The length of a rectangle is 5 millimeters less than twice its width. If the perimeter is 56 millimeters, what are the dimensions of the rectangle?

11mm, 17mm

500

The sum of three consecutive numbers is 33 more than the smallest of the numbers. Find the numbers.

15, 16, 17

Hodgepodge

100

How do you evolve Poliwhirl into Poliwrath?

Water Stone

200

How fast do you need to go to escape the gravitational pull of a black hole beyond the event horizon?

Faster than the speed of light

300

How many countries are there in the world (according to the U.N.)?

195

400

What goes up but never comes down?

Your age

500

What is the biggest tech company in South Korea?

Samsung