Simplify and Evaluate
-5(x - 7) + 10
for x = 2
-5x + 3
-7
10 - 4t = -12
8
t = 26 1/2 or t = 53/2
A certain shade of pink paint is made by mixing 8 parts red paint to 15 parts white paint. How many gallons of red paint would I need if I have 50 gallons of white paint?
Approx 26 1/3 gallons red paint
96.4324 units2
Find the area of a triangle. Its height is 7 1/2 feet and its base is 3 1/2 feet.
13 1/8 ft2
- (x + 1) - (x - 50)
for x = 1/2
-2x + 49
48
Gym members pay $3 per workout with a one time membership fee of $98. Nonmembers pay $10 per workout. How many workouts would both a member and a nonmember have to do to pay the same amount?
14 workouts
A recipe calls for a dozen eggs to make 1.5 breakfast casseroles. If I need to make 5 breakfast casseroles for an upcoming event, how many eggs do I need?
40 eggs
Find the area of a parallelogram (in fraction form). Its height is 4 cm and its base is 2 4/5 cm.
11 1/5 cm2
Find the area of the state of Colorado. It is somewhat shaped like a rectangle. From north to south, it is 276 mi and from east to west, it is 365 mi.
100,740 mi2
for x = -6 and y = 1/3
x + 3y - 2
-7
7d + 4 = 8 - d
d = 1/2
The official size of a basketball court in the NBA is 94 ft by 50 ft. The basketball court in the school gym is 47 ft long. How wide must it be to be similar to an NBA court?
25 ft
Find the area of a rectangle in fraction form. Its length is 15 1/2 in and its width is 8 1/2 in.
131 3/4 in2
Find the area of the state of New Hampshire. It is somewhat shaped like a right triangle. From north to south, it is 160 miles, and from east to west, it is 85 miles.
6800 mi2
(5x + 17) + (3x - y)
for x = 3/4 and y = 20
8x - y + 173
Jill, Serena, and Erin are trying to earn enough money to rent a beach house for a week. They estimate that it will cost at least $1650. If Jill has already earned $600, how much must each of the others earn?
at least $525
A 6 ft man is casting a 15 ft shadow. At the same time, a 500 ft skyscraper is casting how long of a shadow?
1250 ft
James and Linda are fencing a rectangular area of the yard for their dog. The width of the dog yard is 4.5 m. Its area is 67.5 m2. What is the length of the dog yard?
15 m
Find the area of the state of Montana. It is approximately 290 mi from north to south. The top border is 550 mi and the bottom border is 460 mi.
146,450 mi2
- (x - y) + (5x - 4y)
for x = 1/8 and y = 10
4x - 3y
-29 1/2
1.2k + 2.3 = -0.5k + 7.4
k = 3
The dining room at Monticello is 216 inches by 222 inches. If a rug is 72 inches wide, how long is it if it is similar to the room?
74 in
You are painting a triangular wall. The area of this wall is 1350 ft2. The height of the wall is 45 ft. What is the base?
30 ft
Find the area of a trapezoid with a height of 12 yards and bases of 15 yards and 40 yards.
330 yd2