10 Algebra

Index Basics

100

a² × a³ 

a⁵

200

y⁵ ÷ y²

y³

300

(z³)²

z⁶

400

a⁰

1

500

(7b³)²

49b⁶

Power Play

100

2³

8

200

3² x 3³

3⁵ = 243

300

5⁴÷5²

5² = 25

400

(4²)³

4⁶

500

6⁰

1

Expand It

100

3(x+2)

3x+6

200

4(y+5)

4y + 20

300

5(2a+3)

10a+15

400

2(x+3)+3(x+1)

5x+9

500

4(2x+5)+3(3x−2)

17x+14

Mix & Simplify

100

x(x+3)

x²+3x

200

x²(x+4)

x³+4x²

300

x(2x²+3)

2x³+3x

400

2x(x²+x)+3x²

2x³+5x²

500

x³(2x+4) + x²(x²+1)

3x⁴+4x³+x²

Word Problems

100

A square has side x. Area =

x²

200

Each pen costs p. 5 pens cost = ?

5p

300

A taxi costs 10+3k. Expand for 4 kilometeres (k).

10+3(4)=22

400

A rectangle has sides x, x+5. Area =

x(x+5) = x²+5x

500

A factory makes 2x boxes/day. 7 days = ? Expand and simplify.

14x