7.5 Real World Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What does the variable 'm' represent in the context of distance?

Back

In the context of distance, 'm' represents the distance in miles from Natalie's home to the library.

Front

How do you determine the total distance Natalie ran?

Back

To determine the total distance Natalie ran, you add the distance to the library, the distance around the track, and the return distance.

Front

What is the expression for the total distance Natalie ran?

Back

The expression for the total distance Natalie ran is 2m + 1.5 + 0.25.

Front

What does '3 times as old' mean in terms of algebraic expressions?

Back

'3 times as old' means you multiply the age of the first person (x) by 3 to find the age of the second person.

Front

If Johnny is x years old, how do you express Thomas's age?

Back

Thomas's age can be expressed as 3x years old.

Front

What is the relationship between Jenny's age and Alexis's age?

Back

Jenny is 5 years older than Alexis.

Front

How do you set up an equation to find the number of boxes of crayons Ms. Smith purchased?

Back

You set up the equation 16x = 192, where x is the number of boxes.

Front

What does the equation 9x = 45 represent in the context of chairs?

Back

The equation 9x = 45 represents the total number of chairs (45) being divided into rows of 9 chairs each.

Front

What is the solution to the equation 16x = 192?

Back

The solution to the equation 16x = 192 is x = 12, meaning Ms. Smith purchased 12 boxes of crayons.