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Algebra - Chapter 7 Extended Response Test

Last updated about 5 years ago

6 questions

1

Question 1

1.

John has 15 coins, all nickels and quaters, worth $2.95. Write and solve a system of equations to determine how many dimes and how many quarters John has.

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Question 2

2.

A movie theater charges $5 for an adult's ticket and $2 for a child's ticket. One Saturday, the theater sold 465 tickets for $1905. Write and solve a system of equations to determine how many childs' tickets were sold for the movie that Saturday.

Question 3

3.

The sum of two numbers is 125 and their difference is 47. Write and solve a system of equations to find the two numbers.

Question 4

4.

In Blue River, Jacket can row 32 km downstream in 8 hours, but it takes him 4 hours to row 12 km upstream. Find the rate he rows in still water and the rate of the current.

Question 5

5.

The solution of the system 4x + 5y = 2 and 6x - 2y = 6 is (3, a). Find the values of a and b.

Question 6

6.

Solve the following system of equations using three different methods.
4x + y = 13
6x - y = 7