Evaluating Algebraic Expressions in Math 6

This lesson covers evaluating algebraic expressions with whole numbers, decimals, and fractions. It includes real-world examples like calculating bike rental costs and determining gas mileage. The lesson emphasizes substitution and order of operations to solve expressions.

What is the cost to rent a bike and a helmet for 3 hours if the bike costs $12.50 per hour and the helmet has a one-time fee of $5.25?

• $37.50

• $42.75

• $45.00

• $50.25

How much would it cost to rent a bike, a lock, and a basket for 4 hours if the bike costs $12.50 per hour, the lock has a one-time fee of $1.75, and the basket has a one-time fee of $2.25?

• $54.00

• $56.00

• $52.00

• $50.00

If Eric has one large case with 20 cars and three smaller cases each with 10 cars, how many cars does he have in total?

• 50

• 40

• 60

• 30

Using the expression 20 + 3n, how many cars does Eric have if each smaller case holds 12 cars?

• 62

• 50

• 56

• 68

What is the value of the expression 50 - t when t equals 20?

• 20

• 25

• 30

• 35

If Julie's family drove a total of 1560 miles using 60 gallons of gas, what was their gas mileage in miles per gallon?

• 24

• 25

• 26

• 27

Evaluate the expression 3.4 + 12a / 4 for a = 10.

• 33.4

• 32.4

• 31.4

• 30.4

Using the expression 27 / s^2, how many tiles are needed if the side length of each tile is 1/3 foot?

• 81

• 162

• 324

• 243

If the side length of each tile is 3/4 foot, how many tiles are needed using the expression 27 / s^2?

• 36

• 12

• 48

• 24

What is the first step in evaluating an algebraic expression using substitution?

• Simplify the expression

• Replace the variable with its numerical value

• Perform the operation

• Check the units