Indices
Algebra
Equations
Mixed
Challenge
100
Simplify the following a3 x a2
a5
100
Simplify the following 3x2 + 2y -5x2 +4y - 6y
-2x2
100
Solve: 2x + 2 = 18
x = 8
100
Convert the statement to an algebraic expression
"The product of 4 and a number h"
4h
100
Simplify (2x5y3)0
1
200
d^11/(d^2)
d9
200
Simplify the following
7x2y3 x 3xy2
21x3y5
200
Solve for X:
4x=28
X= 7
200
Factorise -6x2y - 2x3y2
-2x2y(3+xy)
200
Solve: 5(2x + 6) = −4(−5 − 2x) + 3x
x = 10
300
simplify (h3)2
h6
300
Expand and simplify the following 8(x+2)
8x +16
300
Solve
x2 = 121
+/- 11
300
Solve the following
4x - 5 = 2x +11
x= 8
300
The sum of 3 consecutive numbers is 150. Find the numbers.
49,50,51
400
Simplify the following 3ao
3
400
Simplify: 3(6wd - 3) + 3wd
21wd - 9
400
A rectangle has a length 2.5 meters and width 3.4 meters. Use the formula P= 2l +2w to calculate its perimeter.
11.8m
400
(26m^5n^-8)/(2m^2 n^5 )
(13m^3n^-13)
400
Solve the following quadratic equation 
+/- 7
500
Simplify the following
a6 x b2 x a3 x b4
a9b6
500
Factorise the following
x3 + 2x2
x2 (x + 2)
500
Janice has x colouring pencils. She shares them equally with her friend Talia. Her brother gives her two more colouring pencils. Janice now has 3 pencils in total.
How many pencils did she have initially.
2
500
Write a simplified algebraic expression for the area of the following shape
3a2
500
Write an expression of the shape described below:
All sides on this shape are equal, each side's length being 5a3b. What is the shape and write an expression for its area?
Explain how you got your answer.
A square
Formula= s x s or a2
(5a3b)2