Translating Verbal Expressions & Equations

Front

What is a verbal expression in mathematics?

Back

A verbal expression is a phrase that describes a mathematical relationship using words, which can be translated into a mathematical expression or equation.

Front

How do you translate the phrase '7 less than 20' into a mathematical expression?

Back

The phrase '7 less than 20' translates to the expression 20 - 7.

Front

What does the expression '10 increased by 5' represent mathematically?

Back

The expression '10 increased by 5' represents the mathematical expression 10 + 5.

Front

What is the formula to calculate the total cost of renting a car for one day, given a daily rate and a per-mile charge?

Back

The total cost can be calculated using the formula: Total Cost = Daily Rate + (Per Mile Charge * Number of Miles).

Front

If the cost to rent a car is $25 per day and $0.95 per mile, how would you express the total cost for x miles driven?

Back

The total cost for x miles driven would be expressed as 0.95x + 25.

Front

How do you express the cost of 3 adult tickets at $16 each and x children's tickets at $8 each?

Back

The expression for the total cost would be 16 * 3 + 8x, which simplifies to 48 + 8x.

Front

What is the meaning of the variable 'd' in the equation d = 70t?

Back

In the equation d = 70t, 'd' represents the distance traveled, where 't' is the time in hours and 70 is the speed in miles per hour.

Front

How would you calculate the distance traveled if the speed is 70 miles per hour for 6.5 hours?

Back

You would calculate the distance using the expression d = 70(6.5), which equals 455 miles.

Front

What is the difference between a constant and a variable in an expression?

Back

A constant is a fixed value that does not change, while a variable is a symbol that represents an unknown value and can change.

Front

What is the significance of translating verbal expressions into mathematical expressions?

Back

Translating verbal expressions into mathematical expressions allows for the application of mathematical operations to solve real-world problems.