Real Numbers
What real number subset does the square root of 3 belong to?
Irrational
This example represents what property of equality?
6=x
x=6
Symmetric
What is the point-slope formula?
y-y1= m(x-x1)
What is the quadratic formula?
x=(-b+-\sqrt(b^(2)-4ac))/(2a)
What is the distance formula?
d= square root of (x2-x1)2+(y2-y1)2
What interval type is this inequality notation?
-7≤ x<-2
Half-open
Solve the equation.
2x-3=4x-5
x=1
Solve the equation.
400-50x=150
x=5
Find the factors of the equation.
2x^2+5x-3=0
(2x-1)(x+3)
The absolute value of real number is...
Its magnitude (size)
Which algebraic property of multiplication represents this equation?
6(7) = 7(6)
Commutative
Solve the equation.
5y-2/8=2+y/4
y=6
Find the point-slope form equation for these points.
Point: (1,4)
Slope: 2
y-4=2(x-1)
Solve the equation.
3(x+4)^2=8
x=-4+- square root of 8/3
Solve.
square root -25
5i
What is the interval inequality for the notation [-2,3)?
What is the interval type?
−2≤x<3
Half-open
Which of the following is a solution to 2x-3<7?
a) x=0
b) x=5
c) x=6
a) x=0
What is the general form for the equation of a line?
Ax+By+C=0
What is the quadratic formula for the discriminant?
b^2-4ac
x3-x2>=0
[-1, 0] U [-1, \infty]
The distance that light travels in 1 year is around 5.87 x 10^12 mi. Translate to scientific notation.
5,870,000,000,000 mi.
Solve the equation.
2y-3/2 + 3y-1/5<y-1
y>7/6
2x+y=17+2(x-2y)
y=17/5
Solve the equation using complete the square.
x^2+5x-9=0
x=-7, or x=1
A projectile is launched straight up from ground level with an initial velocity of 320 ft/sec.
a) When will the projectile's height above ground be 1,200 ft?
b) When will the projectile's height above ground be at least 1,200 ft?
a) The projectile is above ground twice; first time at t=5 sec on the way up, and the second time at t=15 on the way down. [5,15]
b) The projectile is at least 1,200 ft above ground for times t=5 sec and t=15 sec. (0, 5] U [15, /infty)