Linear Equations
This is the difference between an Identity and a Conditional equation
What is: An identity is true for all real numbers where a conditional equation is an equation that is satisfied by some numbers but not others.
If 120L of an acid solution is 75% acid, this is how much pure acid there is in the mixture.
What is 90L
This is the product of: sqrt(-10)/sqrt(-40)
What is
1/2
This is the solution obtained by factoring: 2x^2-x-15=0
What is
{-5/2,3}
This can be written in standard form a+bi: (-4+sqrt(-24))/8
What is
-1/2+sqrt(6)/4i
This is the solution to: 5/6x-2x+4/3=5/3
What is
{-2/7}
Two acid solutions are mixed. One is 26% acid and the other is 34% acid. This is the concentration that the mixture cannot be:
a) 36% c) 30%
b) 28% d) 31%
What is a) 36%
This is the difference written in standard form: (2-5i)-(3+4i)-(-2+i)
What is
1-10i
This is the solution obtained by completing the square: 2x^2-4x-3=0
What is
(2+-sqrt(10))/2
This is the following equation solved for t:
s=s_0+g\t^2+k
What is t=+-sqrt((s-s_0-k)g)/g
This is the solution for h in the equation: S=2pirh+2pir^2
What is
h=(S-2pir^2)/(2pir)
David gets to work in 20 min. when he drives his car. Riding his bike (by the some route) takes him 45 min. His average driving speed is 4.5 mph greater than his average speed on his bike. This is how far he travels to work.
What is 2.7 mi
This is the quotient in standard form: (-3+4i)/(2-i)
What is
-2+i
The discriminate can be used to determine the number and types of solutions to: 3x^2+5x+2=0
What is two distinct real solutions.
Johnny deposits some money at 2.5% annual interest and twice as much at 3.0%. Find the amount at each rate if his total annual interest income is $850
What is $10,000 at 2.5% and $20,000 at 3%