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Hotz First Year Algebra Scales

Series A

GRAPHS

1. The following diagram represents the length of certain rivers:

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How many miles long is the Arkansas river as represented in this diagram?

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3. This graph indicates the population of a certain town for a period of years:

POPULATION

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What was the approximate population of the town in 1856?.

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6. This graph represents the distance passed over by a man walking at the rate of 3 miles an hour for a number of hours:

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0 2 4 6 8 10 12 14 16 18 20 22

HOURS

By the conditions of the problem it may be said that the number of miles travelled equals three times the number of hours, or

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By locating these points, we have a, b, c, d, etc., of the graph.

In the same diagram draw a graph in which

m=2h

7. Find three pairs of values for r and y in the following equation and then draw the graph of

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y

1 Space =

1 Unit

10. Plot the following equations and find the values of x and y at the point of intersection of the graphs.

y

x+4y=11
2x-y=4

X

y

Copyright, 1920, by Teachers College

1 Space =

1 Unit

Hotz First Year Algebra Scales

Series A

PROBLEMS

Do not work out the answer to the problem-merely indicate the answer or state the equation in each case.

1. If one coat cost r dollars, how much will 3 coats cost?

Answer...

2. A man is m years old; how old was her years ago?

Answer...

4.

A gold watch is worth ten times as much as a silver watch, and both together are worth $132. How much is each worth?

Equation..

5. The distance from Chicago to New York by rail is 980 miles. If a train runs v miles an hour, what is the time required for the run?

Answer...

7.

The total number of circus tickets sold was 836. The number of tickets sold to adults was 136 less than twice the number of children's tickets. How many were sold of each?

Equation....

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