- Evaluate the following expressions:
a) 2^3 b) 5^2 c) 10^0 d) 4^1
- Simplify the following expressions:
a) 3^2 * 3^4 b) (2^3)^2 c) 6^3 / 6^2 d) 7^4 * 7^0
- Solve the following problems:
a) A bacteria population doubles every hour. If there are initially 100 bacteria, how many will there be after 5 hours? b) The length of a side of a square is 3 cm. What is the area of the square? c) A car travels at a constant speed of 60 km/h. How far will it travel in 2.5 hours?
- Determine whether the following statements are true or false:
a) 2^5 = 5^2 b) 3^0 = 1 c) 10^1 = 1 d) 6^2 = 36
- Fill in the missing values:
a) 2^3 = __ b) 4^0 = __ c) 10^2 = __ d) 3^1 = __
- Write the following numbers in expanded form:
a) 5^3 b) 2^4 c) 10^2
- Solve the following problems:
a) A recipe calls for 2 cups of flour. If you want to make 4 times the recipe, how many cups of flour will you need? b) The length of a rectangle is 5 cm and the width is 3 cm. What is the perimeter of the rectangle? c) A computer program runs 10 times faster on a new processor. If it takes 2 hours to complete on the old processor, how long will it take on the new processor?
- Determine the value of the following expressions:
a) 2^2 + 3^2 b) 4^3 - 2^3 c) 5^2 + 5^1 + 5^0
- Simplify the following expressions:
a) (2^3)^2 / 2^4 b) 6^2 * 6^(-2) c) 8^3 / 8^2
- Solve the following problems:
a) A savings account earns 5% interest annually. If you deposit $1000, how much will you have after 3 years? b) The volume of a cube is 64 cm^3. What is the length of each side of the cube? c) A car travels at a constant speed of 80 km/h. How long will it take to travel a distance of 240 km?
Note: These questions are just examples and can be modified or expanded upon based on the specific curriculum or learning objectives.
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