Ratios and Rates
What is the ratio of 6 red pencils to 3 blue pencils in simplest form?
Simplify a ratio like a fraction:
6 : 3
Divide both numbers by 3
2:1
Evaluate:
6 + 4 × 2
👉 Answer: 14
Solve:
x + 5 = 9
Answer: x = 4
How many degrees are in a triangle?
Answer: 180°
Find the mean:
2, 4, 6
Answer: 4
If 4 notebooks cost $8, what is the unit rate per notebook?
8 ÷ 4 = 2
$2 per notebook
Write an expression for:
“5 more than a number n”
Answer: n + 5
Solve:
m − 7 = 12
Answer: m = 19
Find the area:
length = 6, width = 4
Answer: 24 square units
Find the median:
3, 7, 9
Answer: 7
A car travels 180 miles in 3 hours. What is the unit rate?
300 — 180 miles in 3 hours
Miles per hour:
180 ÷ 3 = 60 miles per hour
Evaluate when x = 3
2x + 7
13
Solve:
3x = 18
Answer: x = 6
Find the perimeter of a rectangle:
length = 8, width = 5
Answer: 26 units
Find the mode:
5, 6, 6, 8
Answer: 6
A recipe uses 2 cups sugar for 5 batches. How many cups are needed for 10 batches?
4 cups
Simplify:
4a + 2a
6a
Solve:
x/4 = 5
Answer: x = 20
Find the area of a triangle:
base = 10, height = 6
Answer: 30 square units
Find the range:
10, 14, 18
Answer: 8
The ratio of boys to girls is 3:4. If there are 12 boys, how many girls are there?
16 girls
Write an expression:
“The product of 6 and a number minus 8”
6n − 8
Solve:
2x + 6 = 16
Answer: x = 5
Find the volume of a rectangular prism:
l = 4, w = 3, h = 5
Answer: 60 cubic units
The mean of 4 numbers is 10. What is their total sum?
Answer: 40