Ratios & Rates
A class has 10 boys and 5 girls.
What is the ratio of boys to girls?
2:1
A square has a side length of 7 m.
What is the area?
49 m2
Solve:
x + 7 = 15
8
Solve:
x + 6 < 14
x < 8
Evaluate:
−5 + 12
7
There are 8 red marbles and 12 blue marbles in a bag.
What is the ratio of red marbles to total marbles?
2:5
A rectangle is 10 ft long and 6 ft wide. A smaller square with side length 2 ft is cut out of one corner.
56 ft²
Solve:
5x = 45
9
Solve:
4x ≥ 20
x ≥ 5
Evaluate:
−4 × 6
-24
A recipe uses 3 cups of flour for every 2 cups of sugar.
If you use 6 cups of flour, how much sugar do you need?
4 cups of sugar
A rectangular prism has length 4 cm, width 3 cm, and height 2 cm. What is the surface area?
52 cm²
Solve:
2x + 3 = 11
4
Solve:
2x + 3 > 11
x>4
Evaluate:
15 − (−8)
23
The ratio of cats to dogs at a shelter is 5:3.
If there are 24 dogs, how many cats are there?
40 cats
A cube has a surface area of 150 cm².
What is the length of one side?
5 cm
Solve:
3x − 5 = 16
7
Solve:
3x − 7 ≤ 11
x ≤ 6
Evaluate:
−3 + 5 × (−2)
−13
The ratio of boys to girls in a school is 7:5.
There are 144 students total. How many are girls?
60 girls
A shape is made by stacking two identical cubes on top of each other. Each cube has a side length of 3 cm.
What is the total surface area of the new shape?
90 cm2
Solve:
2(x + 4) = 18
5
Solve:
−2x + 4 > 10
x < −3
Evaluate:
(−6 ÷ 2) + 4 × (−3)
-15