Integers & Rational Numbers
A bank account has a balance of -$45. If $60 is deposited, what is the new balance?
$15
A gym charges $20 monthly plus $5 per visit. Write an expression for total cost after x visits.
20 + 5x
You have $50 and want to buy shirts that cost $8 each. Write an inequality.
8s <= 50; maximum 6 shirts
A car travels 120 miles in 2 hours. What is the unit rate?
60 miles per hour
A rectangular garden is 10 ft by 6 ft. What is the area?
60 sq ft
The temperature is -3°C and drops 5 degrees. What is the new temperature?
-8 degrees
A phone plan costs $15 plus $2 per text. Write and solve an equation if the total bill is $35.
15 + 2t = 35; t = 10 texts
Solve: 6x + 5 < 41
x < 6
A shirt is $25 and is discounted by 20%. What is the sale price?
A circular pool has a radius of 7 ft. Find the circumference (π=3.14).
43.96 feet
A diver is at -10 meters and rises 6 meters. Where is the diver now?
-8 meters
A store sells notebooks for $3 each plus a $10 fee. Write an equation for total cost.
3n + 10
A ride requires height greater than 54 inches. Write an inequality.
h > 54
A recipe uses 2 cups of sugar for 5 cups of flour. How much sugar for 20 cups of flour?
8 cups
A box is 5x4x3. What is the volume?
60 cubic units
A football team loses 8 yards and then gains 12 yards. What is the total change?
4 yards
Solve: 4x + 12 = 28
x = 4
You can spend less than $100. Items cost $12 each. How many can you buy?
12i < 100; maximum 8 items
A student scores 18 out of 24. What is the percentage?
75%
Find the area of a triangle with base 8 and height 5.
20 square units
Explain why 21 - 5 is the same as 21 + (-5).
Subtracting 5 is the same as adding the opposite of 5, so 21 - 5 = 21 + (-5).
Simplify: 2(x + 5) + 3x
A streaming service costs $6 plus $4 per movie. Write an inequality for spending less than $30.
m < 6; maximum is 5 movies
A drawing uses a scale of 1 inch = 3 feet. If the drawing is 9 inches, what is the actual length?
27 feet
Find the surface area of a cylinder with radius 4 cm and height 12 cm.
401.92 square cm