Equations
7(k+1)=-63
-10
Give your answer as an inequality and in interval notation.
-51 <= -3+8m
m>=-6
(-6, infinity)
Solve:
4/3=x/6
x=8
These two numbers equal the sum of 74. The larger of two numbers is 12 more than the smaller number.
31 and 43
These two consecutive numbers have a sum of 115.
57 and 58
v+7=2+6v
1
30 > 6(3n+2) + 8(8n-8)
n<1
(-infinity, 1)
2/7 = 10/(b-6)
41
These two numbers equal the sum of 38. The larger of the two numbers is 10 less than twice the smaller number.
16 and 22
These two consecutive odd numbers have a sum of 144.
71 and 73
-2(-8x+7)=-110
-6
Give your answer as an inequality and in interval notation.
x+10<6 or x-6 >= 0
(-infinity, -4) (6, infinity)
x<-4 or x>=6
Solve:
3/2=(a-3)/(a+1)
a=-9
The number of years that Brad has been on the soccer team is 2 less than 5 times the number of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long has brad been on the soccer team?
8 years
These three consecutive numbers have a sum of 84.
27,28,29
13-3b=8-2(2b-4)
3
2(-8-7x) < 2x-5(3x+5)
x>9
(9, infinity)
8/(b-7) = 4/(b-5)
3
The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.
9 in and 12 in
These two numbers have the sum of 76. The larger of the two numbers is nine less than four times the smaller number.
17, 59
-7m+8(7m-7)=6(1+7m)+1
9
Solve. Show your answer as an inequality and in interval notation.
29 <= 2+9x<65
3<=x<7
[3,7)
(r-10)/(r-3) = 3/6
r=17
The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters, find the dimensions of the rectangle.
13 cm and 30 cm
Find three consecutive integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.
10,12,14