Evaluating Algebraic expressions with variables word problems

Grade 6 Math Worksheets

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 + 50n

= 20 + (50.n)

= 20 + (50 × 2)

= 20 + 100

= $120 (Answer)

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

How far can this car travel on 10 $\frac{1}{2}$ litres of gasoline?

Solution: 10g is the expression

= 10. 10 $\frac{1}{2}$

= 10 × $\frac{21}{2}$

= 5 × 21

= 105 miles (Answer)

Check Points

The expression is 3f + 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 5w + 12, where w is $10?
Kim runs a food truck. The expression 25s + 2hgives 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 3x + 2y + 1z, xis 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 7w + 200 litres are the water level which drops in a particular reservoir in a day. Calculate the water level if today is the 5^thday.

Answer Key

$53
$62
$20.75
21 points
235 litres

Personalized Online Tutoring from eTutorWorld

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12, Test Prep help for Standardized tests like SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE TRIAL Session.

Schedule a Free Session

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

Learn more about Scientific Method and other important topics with 7th Grade Science Tutoring at eTutorWorld. Our expert science tutors break down the topics through interactive one-to-one sessions. We also offer the advantage of customized lesson plans, flexible schedules and convenience of learning from home.

Pricing for Online Tutoring

Tutoring Package	Validity	Grade (1-12), College
5 sessions	1 Month	$124
1 session	1 Month	$25
10 sessions	3 months	$239
15 sessions	3 months	$354
20 sessions	4 months	$449
50 sessions	6 months	$1049
100 sessions	12 months	$2049

Buy Now