Unit 2 - Algebraic Reasoning

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operation symbols (like +, -, ×, ÷).

Front

What does it mean for a number to be prime?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What does it mean for a number to be composite?

Back

A composite number is a natural number greater than 1 that has more than two positive divisors.

Front

How do you calculate the total distance traveled if you know the speed and time?

Back

Total distance = speed × time.

Front

What is the formula to find the average of a set of numbers?

Back

Average = (sum of all numbers) ÷ (total count of numbers).

Front

If you have 12 chairs, 15 chairs, and 9 chairs, how do you find the total number of chairs?

Back

Total chairs = 12 + 15 + 9.

Front

What is the expression for dividing a total into equal groups?

Back

To divide a total into equal groups, use the expression: total ÷ number of groups.

Front

What is the expression for finding the total cost of multiple items?

Back

Total cost = (number of items 1 × cost of item 1) + (number of items 2 × cost of item 2).

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression does not include an equality sign.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac.