Name: 
 

Chapter 3 Algebra Test



Short Answer
 
 
Solve the equation.
 

 1. 

mc001-1.jpgx – 9 = 7
 

 2. 

2(y – 2) = 12
 

 3. 

mc003-1.jpg
 

 4. 

2x + 7 = 6x – 5
 

 5. 

A customer went to a garden shop and bought some potting soil for $15.00 and 6 shrubs. The total bill was $76.50. Write and solve an equation to find the price of each shrub.
 

 6. 

a. Find the value of a.
b. Find the value of the marked angles.
mc006-1.jpg
 

 7. 

The sum of four consecutive even integers is 212. Write an equation to model this situation, and find the values of the four integers.
 

 8. 

Find the percent of change in altitude if a weather balloon moves from 116 ft to 58 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.
 

 9. 

While walking outside on a field trip 65%, or 13, of the students in the class wore jackets. Find the number of students in the entire class.
 

 10. 

During the basketball season, Diane took 124 shots and made about 56% of them.
a.How many shots did Diane make?
b.The team made a total of 358 shots. What percent of the team’s made shots did Diane make?
 

 11. 

Doug is a salesperson in a retail store and earns $75 per week plus 15% of his weekly sales. If Doug makes $615 one week, what are his sales that week?
 
 
Solve the problem by writing an equation. Check that your answer is reasonable.
 

 12. 

The total cash payment for an item is $56.42. If there is a 6.5% sales tax included in the payment, what is the base price?
 

 13. 

Cell phones are becoming very popular at Poplar Middle School. In 2000, there were 20 students with cell phones. Each year the number of students with cell phones has increased by 10%. At this rate, how many students will have cell phones in 2007?
 
 
Solve the equation.
 

 14. 

mc014-1.jpgy + 9 = mc014-2.jpg
 

 15. 

mc015-1.jpg
 

 16. 

mc016-1.jpg
 

 17. 

The sales tax rate is 5.5%. Find the tax paid for a coat that costs $57.
 

 18. 

Find the interest earned in an account with $600 invested at 4.5% annual simple interest for 2 years.
 

 19. 

A class writes the equation n + n + 1 + n + 2 = 87 to solve the following problem.

      The sum of 3 consecutive odd integers is 87. Find the three integers.

What error did they make?
 

 20. 

Danielle manages a clothing store. For a special promotion, she receives a shipment of coats that cost her $85 each.
a. Usually, the percent of markup for her store is 80%. Find the usual selling price of one of the coats.
b. The owner of the store suggests that she mark each coat with a price tag of $127.5. What is the percent of markup for each coat?
 

Essay
 

 21. 

Allen makes a 3.4% commission selling vehicles at a car dealership.
a. How much commission does he make on the sale of a $17,000 car? Show your work.
b. During one busy month, Allen’s total commission was $9,860. If a salesperson sells more than $200,000 in one month, the person receives a bonus. Did Allen receive a bonus? Explain.
 

Other
 

 22. 

An item costs $36. The price is increased by $15, then reduced by $15. Is the percent of increase equal to the percent of decrease? Explain your answer.
 



 
Check Your Work     Start Over