A triangle has sides of length 2, x, and x+1. The perimeter is 11. What is the value of x?
4
100
4x + 9 = 33
x = 6
100
Three consecutive numbers add to 60. What are the three numbers
x - first number
x+1 - second number
x+2 - third number
x + x + 1 + x + 2 = 60
3x+3=60
3x=57
x=19
Answer: 19, 20, 21
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
A triangle has sides of length x+1, 2x-1, and 3x. The perimeter of the triangle is 54. What is the value of x?
9
200
x + 3x = -8
x = -2
200
The sum of 2 consecutive odd numbers is . What are the two numbers?
x - first odd number
x+2 - next odd number
x + x + 2 = 108
2x+2=108
2x=106
x=53
Answer: 53, 55
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
A rectangle has a base of 3x and a height of x+1. The perimeter of the shape is 26. What is the base and height of the rectangle?
Base = 9
Height = 4
300
4(y - 2) + y = -13
y = -1
300
Lori has a white dog and a brown dog. The white dog weighs 3 lbs more than the brown dog. Together, the dogs weigh 80 lbs. How much does each dog weigh?
x - brown dog
x+3 - white dog
x + x + 3 = 80
2x+3=80
2x=77
x=38.5
The brown dog weighs 38.5 lbs and the white dog weighs 41.5 lbs.
400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
The base of a rectangle is 2 more than 3 times the height. The perimeter is 12. What is the base and height?
Base = 5
Height = 1
400
-6(m + 1) + 18 = 24
m = -2
400
Britteny bought some new jewelry. She bought a bracelet and a ring. The ring cost $25 more than thrice the bracelet. Her total came to $1225. How much did each piece of jewelry cost?
x - cost of the bracelet
3x+25 - cost of the ring
3x + 25 + x = 1225
4x + 25 = 1225
4x = 1200
x = 300
The bracelet cost $300 and the ring cost $925.
500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
The base of a rectangle is 3x-2 and the height is 3. The area of the rectangle is 66. What is the value of x?
8
500
7k - 8 + 2(k + 12) = 52
k = 4
500
The sum of four consecutive even numbers is 132. What are the numbers?
x - first even number
x+2 - second even number
x+4 - third even number
x+6 - fourth even number
x +x+2+x+4+x+6 = 132
4x+12=132
4x=120
x=30
Answer: 30, 32, 34, 36