Solving by Combining Like Terms
Solving by Using the Distributive Property
Geometry Applications
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
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
Jack reads 5 more pages than Jill. In total, they ready 30 pages. How many did each person read?
x - Jill x+4 - Jack x + x + 4 = 30 2x+4=30 2x=26 x=13 Answer: Jill reads 13 pages and Jack reads 17 pages.
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 phone costs 3 times as much as the case. If the total cost of buying a phone and a case is $200, how much did the phone cost?
x - case 3x - phone x + 3x = 200 4x=200 x=50 Answer: The case cost $50 so the phone cost $150.
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 television cost $50 more than thrice the cost of the DVD player. If the total cost of the TV and DVD player is $290, how much did each item cost?
x - DVD player 3x+50 - TV x +3x+50 = 290 4x+50=290 4x=240 x=60 Answer: The DVD player cost $60 and the TV cost $230.
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