X Marks the Spot
X + 140 = 275
Solve for X
135
5x+7=2x+22
Solve for x
5
A number increased by 12 is 35. Find the number.
23
A rectangle has an area of 96 ft² and a length of 12 ft. Find the width.
8 feet
5x - 8 = 27
Solve for x
7
8x−4=3x+16
solve for x
A rectangle has a perimeter of 54 cm. Its length is 3 cm more than its width. Find the dimensions.
width = 12 cm
length = 15 cm
P−2w=2l
solve for l
l = [P-2W]/2 = P/2 - W
3(2x−5)+7=28
Solve for x
6
4(2x−3)=5x+9
solve for x
7
Two numbers have a sum of 68. The larger number is 14 more than the smaller number. Find both numbers.
27 and 41
Use d=rt
A plane travels 600 miles in 180 minutes. Find its speed (rate) in terms of miles per hour.
600/3 = 200 mph
4(3x−2)−5x=83
Solve for x
13
Determine whether the equation has one solution, no solution, or infinitely many solutions:
4(3x−2)+5=12x−3
Infinite
A school is selling adult and student meal tickets for a fundraiser. Adult tickets cost $12 and student tickets cost $7. A total of 180 tickets are sold, bringing in $1,770. How many adult tickets and student tickets were sold?
adult tickets = 90
student tickets = 90
A rectangular garden has a perimeter of 82 feet. Its length is 5 feet more than twice its width. Use
P=2L + 2W to find the length and width.
L = 29
W =12
5(2x−3)−4(x+6)=3(2x−7)+9
Solve for x
No solution
3(2x+5)−4= [4(x+7)+2x]/2
solve for x
1
A bowling alley charges a $5 admission fee per person, plus the cost of a bowling package. An adult bowling package costs $16, while a student package costs $10. A total of 30 people attend, and the total amount collected is $456.
1 adult
29 students
A rectangular storage container has a volume of 480 ft³. The length is 4 feet greater than the width, and the height is 5 feet. Find the length and width using the formula V = lwh
w = 8
l = 12
h = 5
A school is planning a field trip for 88 students. The school can use cars that hold 4 students or vans that hold 8 students.
The school will use 16 vehicles total. 3 of the vans must be used by teachers and chaperones and cannot carry students.
How many cars and how many vans are needed to transport all 88 students?
Let:
c = number of cars
v = total number of vans
How many vans and cars will the school use?
4 cars
12 vans