Substitution
Simplifying
Rearranging
Working with brackets
Solving equations
100
Substitute the values a = 2 and b = 3 to find the solution:
2a+b
7
100
Simplify the expression:
4a+7-a
3a+7
100
Make x the subject of the formula:
y=12+3x
x=(y-12)/3
100
Expand:
4(x-3)
4x-12
100
Solve the following equation:
2x+5=11
x=3
200
Substitute the values a = 4, b = -2 and c = 7 to find the solution:
3a-2b+c
23
200
Simplify the expression:
b*b*b*b
b^4
200
Make n the subject of the formula:
f=an+dn
n=f/(a+d)
200
Expand:
-2x(3x-5+y)
-6x^2+10x-2xy
200
Solve the following equation:
5x-7=2x+5
x=4
300
Substitute the values a = 4, b = -3 and c = 5 to find the solution:
c^2-2ba+8
57
300
Simplify the expression:
2x^3y * 5xy^4
10x^4y^5
300
Make s the subject of the formula:
v^2/s-u^2/s=2f
s=(v^2-u^2)/(2f)
300
Factorise:
9x+12
3(3x+4)
300
Solve the following equation:
7x^2=63
x=3 and x=-3
400
Substitute the values a = -3, b = 5 and c = -6 to find the solution:
4c-2ab+a^3
-21
400
Simplify the expression:
(4x^3y^2z)^3
64x^9y^6z^3
400
Make r the subject of the formula:
a = (br+t)/(r-s)
r = (t+as)/(a-b)
400
Solve the equation:
-3(x+5)+7=2x-1
x=-7/5
400
Solve the following equation:
(4x)/3-5=(2x)/7
x=105/22
500
Substitute the values a = -5, b = 2 and c = -4 to find the solution:
3(a^2+5c)^2+2b
79
500
Simplify the expression:
(10x^8y^3z^5)/(15x^3y^7z)
(2x^5z^4)/(3y^4)
500
Make a the subject of the formula:
a=(4(b-a^2))/(ac)
a=sqrt((4b)/(c+4)
500
Factorise:
4x^5+2x^3-6x
2x(2x^4+x^2-3)
200 bonus points:
2x(x+1)(x-1)(2x^2+3)
500
Find the value of x that makes the area of both shapes equal:
x=5/2