Solving real-world linear equations
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Thomas O'neill
Used 12+ times
FREE Resource
2 Slides • 7 Questions
1
Solving real-world linear equations
2
Multiple Choice
2y + 5 = 25
y = 15
y = 10
y = 7.5
y = 60
3
Multiple Choice
k −12 = 6 Solve for k
k = 72
k = 2
k = −2
k = −18
4
How can we translate a word problem into an algebraic equation?
Read the problem more than once.
Write down the missing information that you are trying to solve for i.e. price of a shirt, price of a sandwich, length of a fence, balance in your account etc. Each of these real-world concepts can be represented by a variable.
Write a let statement...let b represent the missing balance, let p represent price etc.
Look for keywords such as more than (add), less than (subtract), twice as many (x2), half as much (/2), etc. These phrases will help you write the appropriate linear equation.
Solve and check. Make sure your answer makes sense in the context of the problem. If you get negative sandwiches you probably didn't write the correct equation.
5
Fill in the Blanks
The balance of an investment account is $308 more than the balance 4 years ago. The current balance of the account is $4708. What was the balance 4 years ago?
Type answer...
6
Fill in the Blanks
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the number of hours of labor spent repairing the car.
Type answer...
7
Fill in the Blanks
A discounted amusement park ticket costs $12.95 less than the original price p. The discounted ticket costs $44. Write and solve an equation to find the original price.
Type answer...
8
Fill in the Blanks
During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. How many hours must you work as a landscaper?
Type answer...
9
Fill in the Blanks
You order two tacos and a salad. The salad costs $2.50. You pay 8% sales tax and leave a $3 tip. You pay a total of $13.80. How much does one taco cost?
Type answer...
Solving real-world linear equations
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