Algebra Test
Name:
Answer the questions on a separate sheet of paper. Answer as many questions as you can. If you get stuck or don’t understand a question, move on to another question and then re-attempt later. Write the final answer on the test sheet.
1.
The first stage of a rocket burns 28 seconds longer
than the second stage. If the total burning time for both stages is 152
seconds, how long does each stage burn?
2.
In a student election, 584 students voted for one or
the other of two candidates for president. If the winner received 122 more
votes than the loser, how many votes were cast for each candidate?
3.
A man is nine times as old as his son. In nine years,
he will be only three times as old as his son. How old are each now?
4.
I have $11.60, all dimes and quarters, in my pocket. I
have 32 more dimes than quarters. How many dimes, and how many quarters, do I
have?
5.
The sum of three consecutive multiples of 4 is 60. What are the numbers?
6.
One number is 10 more than another. The sum of
twice the smaller plus three times the larger is 55. What are the two
numbers?
7.
A group of 266 persons consists of men, women, and
children. There are four times as many men as children, and twice as many
women as children. How many of each are there?
8.
Divide $79 among three people so that the second will
have three times more than the first, and the third will have two dollars more
than the second.
9.
John received change worth
$13. He received 10 more dimes than nickels and 22 more quarters than dimes.
How many coins of each did he receive?
10. John’s father is 5 times older than John and John is twice
as old as his sister Alice. In two years time, the sum of their ages will be
58. How old is John now?
