Square Root
Equations
Equations
Solve for x:
x^2 -8=73
x= +-9
Solve for x:
-5x-42 = -2-(x+4)
x = -9
-2(v-2)=-3-2v
No solution
Solve the following inequality:
5x+24>2(x-9)-3x
x>-7
A larger number is six more than twice the smaller number. Their sum is 81. Find the numbers.
Smaller Number: 25
Larger Number: 56
Solve for x:
7v^2+1=29
v=+-2
Solve for x:
5x + 3(x-1)=-(x+2)-10
x = -1
2-(7-6b)=6b-5
Infinite Solutions
Solve the following inequality:
-9(x-5)+9<3x+42
x>1
For a field trip, 11 students rode in cars and the rest filled eight buses. How many students were in each bus if 315 students were on the trip?
Each bus had 38 students.
Solve for b:
8b^2-7=193
b=+-5
Solve for x:
11-(3x+1)=7(x-6)+2
x=5
8x+38=-3(-6-4x)
Solve the following inequality:
2(x+1)<= -13-3x
x<=-3
A rectangle has a length five inches less than its width. Its perimeter is 66 inches. Find the dimensions.
Length: 14 inches
Width: 19 inches
Solve:
16n^2=49
n= +-7/4
-11/2=-2 1/3+3 1/6k
-4(x+3)=12-4x
No Solution
Solve the following inequality:
2(x+3)>=4(x-1)
x<=5
A taxi charges a flat rate of $1.75, plus an additional $0.66 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
Erica can travel at most 12.5 miles.
x<=12.5
Solve for x:
-25x^2-17 =-33
x=+-4/5
(-8-3x)/2=11
x=-10
7(2+5v)=3v+14
One solutions; x=0
Write the solution to the following inequality in interval notation:
4(x-2)+3x>-4x-19
x > -1
Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he loses 3 lbs. per week, how many weeks will it take him to weigh less than 170 lbs.?
It will take Ryan more than 10 weeks.
x>10