Lines + Linear Equations
Write the equation of the line in slope-intercept form with the points (3,4) and (6,13).
y=3x-5
Tom and Bobby are selling chocolate bars. If Tom sells 45 more chocolate bars than Bobby and they sell a total of 163 chocolate bars together how many did each boy sell?
Bobby sold 59 and Tom sold 104.
(2+3i)-(4-5i)
-2+8i
Solve by factoring:
x^2-3x-18=0
x=6 and x=-3
Solve the equation involving rational exponents:
x^(5/2)=32
x=4
Solve the following linear inequality and write your answer in interval notation:
4x+3>19
(4,infty)
Write the equation of the line in point-slope form perpendicular to the line 5y-10x=15 and through the point (-5,-7).
y+7=-1/2(x+5)
The product of two consecutive numbers is 182, what are the two numbers?
13 and 14
(5+4i)(-6+i)
-34-19i
Solve the quadratic using square roots:
(x-3)^2=36
x=9,-3
Solve the equation by factoring:
3x^4-6x^2+3=0
x=1,-1
Solve the following linear inequality and write your answer in interval notation:
5<=x+2<=12-x
[3,5]
What is the distance between the points (1,2) and (5,7)?
sqrt41
Two trains leave the station at the same time traveling opposite directions. One is going 30 mph and the other is going 10 mph faster, how long until they are 315 miles apart?
4.5 hours (4 hours and 30 minutes)
i^120
1
Solve by completing the square:
x^2-8x+5=7
x=4+-3sqrt2
Solve the equation by factoring:
x^(11/5)-4x^(6/5)-32x^(1/5)=0
x=8,-4, 0
Solve the following absolute value equation and write your answer in interval notation:
abs(x-2)>7
(-infty,-5)uu(9,infty)
Solve the following equation for x:
4(x+2)-3(2x-5)=3x-6+2(x-1)
x=25/6
sqrt(-72)+sqrt(-98)
13isqrt2
Solve using the quadratic formula:
2x^2+5x-9=0
x=(-5+-sqrt97)/4
Solve the radical equation:
sqrt(x+8)=x+2
x=-4,1
Solve the following absolute value inequality and write your answer in interval notation:
2abs(2x-6)le8
[1,5]
Solve the following equation for x:
1/x+8/(x+1)=28/(x^2+x)
x=3
(2-i)/(4+3i)
1/5+2/5i
Solve the quadratic using the method of your choice:
2x^2-6x+7=0
3/2+-sqrt5/2i