Basics
Foil: (x+2)(x-3)
x^2-x-6
Simplify:
8b-3c+4b+9c
12b+6c
Evaluate: m=3 and p=-4
m+(p-1)^2
28
Solve:
m+(3)^2=28
m=19
Express: "two more than four times a number squared"
4x^2+2
Solve:
8(4-2)^3
64
Simplify:
-2a+9d-5a-6d
-7a+3d
Evaluate: x=5 y=-2
2x+(y+3)^2
11
Solve:
2x+4=-2
x=-3
Express "The product of a number and seven is increased by fifteen."
7x+15
Factor:
10x^2-20x
10x(x-2)
Simplify:
4(4x-9y)+8(3x+2y)
40x-20y
Evaluate m=7 and p=-1
-3(p-6)-4m
-7
Solve:
-2(3y-6)+4(5y-8)=92
y=8
Express "The sum of a number and eight is multiplied by five."
5(x+8)
Foil:
(x-9)(x+1)
x^2-8x-9
Simplify:
-5(10x+8y)-6(4x-7y)
-74x+2y
Evaluate: a=2 and b=-4
a+b^2(b-a)
-94
Solve:
5(-2x-4)-3(4x+5)=97
x=-6
Express: "the quotient of five less than a number and twelve"
(n-5)/12
Factor:
7x^2-14x-21
7(x-3)(x+1)
Simplify:
1/3(5x+8y)+2(4x-7y)
29/3x-34/3y or 9 2/3x-11 1/3y
Evaluate: x=-3 y=-5 w=4
(x^2-3wy)/(y^2+2w)
23/11 or 2 1/11
Solve:
8.2x-33.4=1.7-3.5x
x=3
Express "Twice the difference between a number and twelve is subtracted from twenty."
2(x-12)-20
Foil:
(x+4)^3
x^3+12x^2+40x+64
Simplify:
-6(3a+5b)-3(6a-8c)
-36a-30b+24c
Evaluate: a=-2 b=3 c=4.2
(3a-2c)/(4ab)
0.6
Solve:
1/x+1/4=7/12
x=3
Express "Five less than three times a number is divided by four."
(-3x+5)/4 or (5-3x)/4