Unit Conversions
Convert 13 yards to inches.
468
Find the volume of a rectangular prism with length 4 in, width 3 in, and height 2 in.
24 in³
Solve by substitution:
y = 2x and x + y = 12
x = 4, y = 8
Simplify:
3 + 4 × 2
11
The temperature was 3°F in the morning. It dropped by 5 degrees. What is the new temperature?
-2°F
You have 2.5 gallons of paint. How many cups is that?
40 cups
A cone has a radius of 3 cm and height of 4 cm. Find the volume (answer can have π)
12π or 37.68 cm³
Solve by substitution:
y = 3x - 1 and y +2x = 9
x = 2, y = 5
Simplify:
2 × (3 + 4) - 5
9
You’re at sea level (0 ft) and you descend 20 ft into a cave. Then you climb up 8 ft. What is your elevation now?
-12 ft
A tank holds 2.25 gallons of water. How many quarts is that?
9 quarts
48π cm3 or 50.72 cm³
A pizza and a soda cost $12. A pizza costs $3 more than a soda. Write a system to represent this.
p + s = 12 and p = s + 3
Simplify
6 + 2 × 3²
24
A diver starts at -10 ft, goes down 18 ft, then up 7 ft. Where is she now?
-21 ft
A recipe calls for 3.5 cups of flour. How many pints is that?
1.75 pints
A triangular prism has base area 10 cm² and height 8 cm. Find the volume.
80 cm³
y +x= 5 and y = 2x - 4
x = 3, y = 2
Simplify:
(12 ÷ 3) + 2 × (5 - 1)
12
You lose $13, then gain $5, then lose $7 more. What is your net value?
-15 dollars
A truck travels 2.5 miles to make a delivery. How many inches is that?
158,400 inches
A cube has a surface area of 294 cm². What is the length of one side?
7 cm
You buy 2 notebooks and 3 pens for $9. A notebook costs $2. Write an equation and find the cost of one pen.
2(2) + 3p = 9
(6+4)2−2×5÷2
45
A mountain biker descends 60 ft, ascends 35 ft, then descends another 50 ft. What is their final position?
-75 ft