Grade 9

Exponents

100

4⁴

256

150

(-2)⁵

-32

200

-(-5)⁶

-15,625

250

(-3)² x (-3)⁵

-2,187

300

(-6)⁹ ÷ (-6)⁶ * (-6)⁰

-216

Order of Operations

100

2*(3)⁴

162

150

-3*(-4)²

-48

200

(3 + 4)² - 9

40

250

7³ - 3(-4)³

535

300

24 - 2² + (7² - 5²)

44

Add & Subtract Polynomials

100

The coefficient of each term: -m + 6n - 7mn

-1, 6, -7

150

(2x - 4) +(3x + 3)+(-x-5)

4x-6

200

(5 - 6w) - (-3 - 2w) + (-w)

What is -5w + 8

250

(-3 - 5x) - (-6 - 8x) + (-2x - 6)

x - 3

300

A rectangle has a length of 2x² + 2x +1 and a width of 3x² - 1. Write the polynomial that represents the perimeter of the rectangle.

10x² + 4x

Multiply Polynomials

100

A rectangular garden has a length of 2x meters and a width of x+4 meters. What is the area of the garden?

2x² + 8x

150

(-5)(3 - x² + x)

5x² - 5x - 15

200

(2x²y)(2x² + 3y + 10)

4x⁴y + 6x²y² + 20x²y

250

(-2xy²)(-2xy-3y²+4)

4x²y³ + 6xy³ - 8xy²

300

2x(y² - 2x-5) - x(2x+1)

-6x² + 2xy² - 11x

Riddle

100

When Miguel was 6 years old, his little sister, Leila, was half his age. If Miguel is 40 years old today, how old is Leila?

37

150

Dan the detective looked for a number. He found a two-digit number less than 50. The sum of its digits was 12. Their difference was 4. What number did Dan find?

84

200

I am a three-digit number. My tens digit is six more than my ones digit. My hundreds digit is eight less than my tens digit. What number am I?

193

250

Tom was asked to paint numbers outside 100 apartments, which means he will have to paint numbers one through 100. How many times will he have to paint the number eight?

20 times (8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 98)

300

Using only addition, add eight 8s to get the number 1,000.

888 + 88 + 8 + 8 + 8 = 1,000