# Evaluating Algebraic expressions with variables word problems

Home | Online Math Tutoring | 6th Grade Math Tutoring | **Evaluating Algebraic Expressions With Variables Word Problems**

We can have a good understanding of evaluating expressions with variables with the help of following examples:

** Example:** The price Regina pays to visit the vet’s clinic is calculated according to the formula 20 + 50n. Here

*n*is the number of times she visits him in a year. This time it was 2. What was the cost of his visit?

Equation here says: 20 + 50*n*

= 20 + (50.*n*)

= 20 + (50 × 2)

= 20 + 100

=** $120 (Answer)**

The expression 10*g*, tells the number of miles a car can travel using *g* liters of gasoline.

How far can this car travel on 10 litres of gasoline?

*Solution:* 10*g* is the expression

= 10. 10

= 10 ×

= 5 × 21

**= 105 miles (Answer)**

#### Check Points

- The expression is 3
*f*+ 23, where*f*is 10. What is the value of the expression? - What is the pocket money Hilly receives in a week if she gets 5
*w*+ 12, where*w*is $10? - Kim runs a food truck. The expression 25
*s*+ 2*h*gives the cost of*s*sandwiches and*h*hot dogs. Find the cost of 3 sandwiches and 7 hot chocolates. - In a School sports day, the number of points the 8
^{th}grade team scores is given by 3*x*+ 2*y*+ 1*z*,*x*is the red team;*y*is yellow team, and*z*is the blue team. What is the total number of points scored by 10^{th}graders when red scores 3 three points, yellow 5 points, and blue 2 points? - The expression 7
*w*+ 200 litres are the water level which drops in a particular reservoir in a day. Calculate the water level if today is the 5^{th }day.

#### Answer Key

- $53
- $62
- $20.75
- 21 points
- 235 litres

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