Algebra 1 End of Course Exam

An equation is shown. Select all of the points that are contained in the graph of the equation. HINT: The EQUATION and the (x,y) POINTS can be GRAPHED in the DESMOS calculator! See the image provided.

Answer explanation

The set of ordered pairs representing a function is given. Select all of the ordered pairs that could be included in the set so that it remains a function. HINT: To be a FUNCTION, there can be NO REPEAT X-VALUES!

Answer explanation

To be considered a FUNCTION, each X-value can be paired with only ONE y-value.

For a list of (x, y) ordered pairs to be a "function", make sure NO X-VALUES REPEAT.

The given ordered pairs have x-coordinates of 1, 2, and 5. Therefore, (3,4) (4,4) and (6,8) are acceptable ordered pairs to ensure NO X-VALUES REPEAT.

• $15.99

• $2.50

• $17.49

• $16.50

• $2.99

• $3.50

Answer explanation

For the three restaurants --

Q = $17.49 per pizza + $2.50 delivery fee

R = $15.99 per pizza + $3.50 delivery fee

S = $16.40 per pizza + $2.99 delivery fee

Least expensive pizza = $15.99

Lowest delivery fee = $2.50

Answer explanation

Mathematical Equivalence

ON

Answer explanation

Click on the image to see the question and multiple choice options.

• A

• B

• C

• D

Answer explanation

1275 is approximately the location where a "best-fit line" would cross through the y-axis, indicating the cost of rent in the center of the city would be approximately $1275.

The other three choices are not reasonable.

A group of students measures the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform an analysis of the data set and consider removing the outlier point. SELECT ALL OF THE QUANTITIES THAT WILL CHANGE IF THE OUTLIER POINT IS REMOVED FROM THE DATA SET. HINT: Use DESMOS to determine the MEAN and MEDIAN of the data WITH and WITHOUT the OUTLIER! TIME: 5,6,7,8,9,10,11,12,13,14,15 DISTANCE: 1,1.2,2.4,3.3,3.7,11,4.2,3.7,4.8,4.5,4.9

• Mean of the TIME

• Mean of the DISTANCE

• Median of the TIME

• Median of the DISTANCE

• Range of the DISTANCE

Answer explanation

If you use DESMOS to find the MEAN and MEDIAN of the TIME and DISTANCE data, you can REMOVE THE OUTLIER VALUE (time 10 seconds, or distance 11 meters) to see whether the measure changes.

Time Mean: Was 10, STAYS 10 if 10 is removed

Dist. Mean: CHANGES (decr.) if 11 is removed

Time Median: Was 10, STAYS 10 if 10 is removed

Dist. Median: Was 3.7, STAYS 3.7 if 11 is removed

Dist. Range: CHANGES from 1-11 to 1-4.9

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Answer explanation

For a table of values to "REPRESENT Y AS A FUNCTION OF X" -- each x-value can be paired up with only ONE y-value.

In a table of values, if an X-VALUE REPEATS, it means the x-value is paired with MORE THAN ONE y-value.

There are NO REPEAT X-VALUES in TABLE B, so table B "represents y as a function of x."

• Fixed fee

• Total cost

• Cost per pound

• Pounds