Simplify
Simplify the expression:
9y + 7y - 4y
12y
Expand:
4(h + 6)
4h + 24
Factorise the following expressions completely:
-3x+6y
-3(x-2y) or 3(2y-2x)
A square has side length 4d cm. State the expression for its perimeter
4 x 4d = 16d (cm)
Determine the distance travelled by a car moving at (2x+1) km/h for 3 hours.
3(2x+1) = 6x+3 (km)
Simplify the algebraic fraction:
4a+ 7b - 2a+2
2a + 7b + 2
Expand and simplify:
-5u(8 + 2u)
-40u - 10u2
Factorise the following expressions completely:
2a2 - 3a
a(2a - 3)
A rectangle has length (x + 8) and width (x + 3). Write an expanded expression for its Area (A)
A = x2 + 11x + 24
The perimeter of a rectangle with length (x + 3) and width 2x
2(x+3) + 2(2x) = 6x+6
Simplify the algebraic fraction:
w/4 + w2/2
(w+2w2)/4
Expand and simplify
(3t - 1)(2t - 5)
6t2 -17t + 5
Factorise the following expressions completely:
7ab2-14ab
7ab(b-2)
The area of a rectangular rug is x2 + 7x + 10. Determine the binomial expressions for its length and width.
(x + 2) and (x + 5)
A triangle has a base (x+6) and a height of 4. State the expression for its area.
Simplify the algebraic fraction:
(7x2+2y-x2+4x)÷2
4x2+2x+y
Expand and simplify
(5t - 1)(9-t)
-5t2 + 46t - 9
Factorise the following expressions completely:
x2+32x+87
(x+29)(x+3)
A car travels at a speed of (x + 7) km/h for (x - 3) hours. Expand and simplify the expression for the total distance travelled.
x2 + 4x - 21 km
A square has an area x2 + x - 20. Determine its perimeter.
(x-4)+(x+5) = 2x+1
Simplify the algebraic fraction:
(3a2 + 9a2b - 6ab2 - 3ab) ÷ (-3a)
-a - 3ab +2b2 + b
Expand:
(2x2 + 5y)(3y2 - 4x)
6x2y2 - 8x3 + 15y3 -20xy
2x2 - 13x + 15
(2x - 3)(x - 5)
A square has area x2 + 14x + 49. Determine its perimeter
4(x +7) = 4x +28
A box has volume 2x2 + 10x + 8 and height 2. State the expressions for the length and width of the base.
(x + 1) and (x + 4)