Indices and Algebra Jeopardy

Indices

100

What does a⁵ x a² equal?

a⁷

200

Give the value for -3(2x)⁰

-3

300

Expand 4(x³y²)³

4x¹²y⁶

400

Solve (15m³n^-4)

 ÷ (10m^-2n³p)

Write your answer with positive indices

= 3m⁵ ÷ (2n⁷p)

500

The moon is 3.8 x 10⁵km away and the Sun is 1.5 x 10⁸km away. How many trips to the moon would it take to equal the distance of a trip to the sun?

(Round to the nearest trip)

395 trips

Algebraic Expressions

100

Identify the coefficient in the expression:

3 + 2m x 17

2

200

List the terms:

5x - 3y + 2 ÷  x

5x, -3y, (2 ÷ x)

300

Write an algebraic expression for:

The product of two 'a' and the difference between 'b' and 3

2a x (b-3)

400

Bob the builder charges a $300 call out fee + $50 per hour. His overtime rate is $80 per hour. Write an algebraic expression for this.

B = 300 + 50h + 80o 

Mr James

100

How old is Mr James?

23

200

What was Mr James' role in the army?

Driver (Specialist)

300

Does Mr James have siblings? (If so, how many brothers/sisters?)

3 Brothers

400

What country did Mr James visit when he was seven?

America

500

Which of these subjects did Mr James do in college?

Art, Outdoor Ed, Music, Literature, History, Physics

Music

Expanding and Simplifying

100

Simplify 

3x + 4x + 5

7x + 5

200

Simplify:

5x² + 2x - 3x²

2x² + 2x

300

Expand and Simplify

3 + 2(m² - 6)

3 + 2m² - 12

= 2m² - 9

400

Expand and Simplify 

(x + 3)(x - 2)

x² + x - 6

500

Expand and simplify 

(2x + 6)(x² - 4x) + 5

2x³ - 2x² - 24x + 5

Factorising

100

What is the Highest Common Factor of:

15 and 18?

3

200

What is the Highest Common Factor of:

-8x, 4x², 17xy, -3zyx

x

300

Simplify by factorising:

3y² + 9y - 6xy

3y (y + 3 - 2x)

400

Simplify by Factorising:

a² - 81

(a + 9)(a - 9)