Sci-Fi Upper Math

Fun with Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 3x + 4 = 7

x = 1

300

Solve: 21 = x - 12

x = 33

400

Solve: 4x - 5 - 3x + 2 = 9 + 2x

x = -12

500

Solve: 3x + 3 - 2x + x² = 21 + x²

x = 18

Miscellaneous

100

Is this a function: {(1, 2), (2, 3), (2, 4)} 

No 

200

Simplify: 3(2wd3 - 3) + wd3 

21dw - 9 

300

Solve for a: ax + b = c 

a = (c - b)/x 

400

Simplify: a(b - c) - 2a(c + b)

-1ab - 3ac

500

Solve the equation: x² - 5x + 6 = 0

x = 2 and x = 3

Who Knows

100

What is the slope-intercept formula?

y = mx + b

200

Expand: (x+3)(x−4)

Solution: x² − 4x + 3x - 12 

= x²− x − 12

300

Expand: (x²+3x)(x+1)

x³+x²+3x²+3x 

=x³ + 4x² + 3x

400

Simplify: -4(3x - 2) -2(4 + 3x)

-18x

500

simplify: 4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2

2hk + 4k

Math Rocks

100

Find the slope: y = 3x + 5

3

200

(2³ x 2⁴) / (2²)

2⁵ = 32

300

Solve: (3 - 3x)/7 = 6

x = -13

400

Simplify: 22p - 7p + 19 - 15 - 12

15p - 8

500

Simplify: 2 * sqrt(27) + 3*sqrt(12)

2 * sqrt(27) = 2 * sqrt(9*3) = 2 * 3 * sqrt(3)

3*sqrt(12) = 3 * sqrt(3*4) = 3 * 2 * sqrt(3)

= 6*sqrt(3)  +  6*sqrt(3)

= 12 * sqrt(3)

Mixed

100

Find the area of a triangle with base 10 and height 5.

Solution: Area =1/2 * b * h

= 1/2(10)(5) = 25

200

Simplify: -(x + 7) -2(4x + y)

-9x -7 -2y

300

Evaluate: {[(2 * 3) + (7 * 4)] + 2} * [(8 - 6) - (4 - 3)] 

36 

400

5^2x = 125

x = 3/2

(5³=125, so that means 3 = 2x.)

500

Simplify: 1/4(-4 + 16x) - 2/5(20x - 15)

5 - 4x