Ratios
A car travels 120 miles in 3 hours. What is the unit rate? Include your label.
40 mph
Evaluate: 5 + 3 × 2
11
What is the area of a rectangle with a length of 8 cm and a width of 5 cm. Include your label.
40 cm2
A student buys 3 notebooks for $4 each and pays with a $20 bill. How much change do they get?
Cost = 3 × 4 = 12
Change = 20 − 12 = $8
Rewrite 3/4 as a decimal.
0.75
If 2 pencils cost $1.00, what is the cost of 1 pencil? Include your label.
$0.50
Write an expression: “Twice a number plus 7”
2x+7
What is the area of a triangle with a base of 10 inches and a height of 6 inches. Include your label.
30 in2
A rectangular field has an area of 72 square meters and a width of 8 meters.
Then a fence is placed around the field. What is the perimeter?
Area = 72 ÷ 8 = 9
Perimeter = 2(9 + 8) = 34
or Perimeter = 8 + 9 + 8 + 9 = 34
Answer: 34 meters
1.2 × 3
3.6
Are these equivalent: 3:4 and 27:36? Explain.
Yes, they both simplify to the same ratio.
Evaluate: 4² + 6 × 2
28
What is the area of a trapezoid with a height of 4 ft, base1 of 7 ft, and base2 of 3 ft. Include your label.
20 ft2
A tank holds 80 gallons of water. It is filled to 3/4 of its capacity. Then 10 gallons are used.
How much water is left?
3/4 of 80 = 60
60 − 10 = 50 gallons
What is 60% of 150.
90
A runner goes 15 miles in 2.5 hours. What is the unit rate? Include your label.
6 mph
Solve: 4x=28
x=7
Find the volume of a rectangular prism with a height of 3 cm, length of 5 cm, and width of 2 cm. Include your label.
30 cm3
A runner travels at a constant speed of 6 miles per hour.
How far do they travel in 3 hours?
18 miles
What is 15.6 divided by 1.2?
13
A recipe uses 3 cups of sugar for 6 cookies. How many cookies for 16 cups of sugar? Include your label.
48 cookies
Write and solve: “A number decreased by 8 is 20”
x-8=20
x=28
A rectangular prism has volume 96 in3. The base = 8×4. Find the height. Include your label.
3 in
A student is planning a field trip. The bus costs a flat fee of $120 plus $5 per student. If 18 students go on the trip, what is the total cost?
Equation: C=5p+120
C= 5(18) + 120
C = $210
20