math new hard

Algebra

100

Solve for x: 4x - 9 = 15

x = 6

200

Simplify: (x + 5)(x - 2)

x² + 3x - 10

300

Solve: x² - 8x + 12 = 0

x = 2 or x = 6

400

Factor: 2x² - 18

2(x - 3)(x + 3)

500

If 3(x - 2) = 2x + 7, what is x?

x = 13

Integer

100

Evaluate: -6 + 9 - 2

1

200

What is |-8| - 10?

-2

300

Simplify: -3² + 6

-3

400

Evaluate: [(-4)² -  2(3)]  

10 

500

Evaluate: [-2² + 3(-3)] - (|5 - 9| * 3)

-22

Functions

100

If f(x) = x - 2, find  f(5)

3

200

If g(x) = 3x^2 + 2,  find g(2)

14

300

What is x if f(x) =  4x + 1 and f(x) = 17?

x = 4

400

If h(x) = x² + x,  find h(2) + h(-2)

8

500

If f(x) = x² - 2x +  1, find f(f(1))

f(0) = 1

Geometry

100

Area of triangle with  base 10 and height 3

15

200

Volume of cube with  side 6

216

300

Circumference of  circle with radius 6 (Ï€ = 3.14)

37.68

400

Area of trapezoid  with bases 7 and 9, height 4

32

500

Circle inscribed in  square has area 36pi. Find squares perimeter.

48

word problems

100

Tom has twice as many  marbles as Lee. Together they have 18. How many does Lee have?

6

200

A number decreased by  5 is half itself. What’s the number?

10

300

Three times a number  plus 2 equals 20. Find the number.

6

400

4 bananas and 3  apples cost $2.30. 2 bananas and 5 apples cost $2.90. Cost of one banana?

$0.40

500

Double a number minus  4, then add 6, equals 20. What's the number?

9