1st Semester Ohio Algebra 1 End of Course Exam Questions

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.

Given that a state does NOT use NUCLEAR POWER, what PERCENTAGE of THOSE states USE COAL?

32 states (20 + 12) DO NOT USE NUCLEAR energy.

20 of those 32 states USE COAL.

Calculate 20 out of 32 as a percent:

$$\frac{20}{32}=0.625=62.5\%$$

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

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."

Remember, "DOMAIN = X" and "RANGE = Y"

The DOMAIN of a "function" means all the X-VALUES for which the function (graph) EXISTS.

This graph extends from a starting point where X = 0, to an ending point where X = 4, therefore the domain is all values of X that are BETWEEN 0 AND 4. The DOMAIN is $$0\le x\le4$$ .

If an (X, Y) POINT is CONTAINED IN THE GRAPH of an equation, it will be a SOLUTION to the equation. So you could plug each (x, y) point into the equation $$y=\frac{1}{2}x+\frac{3}{4}$$ to determine which (x, y) values make the equation TRUE.

OR -- graph the line and plot the (x, y) points using DESMOS, and SEE which points are contained in the graph of the line! The line passes through $$\left(\frac{1}{2},1\right)$$ and $$\left(0,\ \frac{3}{4}\right)$$ .

Copy the frequency table onto scratch paper!

Record the TOTALS beside each ROW (48 fiction, 22 nonfiction) and for the SIGNED COLUMN (18 signed books).

Enter "40" in the UNSIGNED FICTION cell.

Then, work your way through the cells to fill in the appropriate value to make the rows and columns add to the appropriate TOTAL.

ANSWER: $$12$$ UNSIGNED NON-FICTION

Product X costs $3.50 per unit to make.

Product Y costs $2.50 per unit to make.

The total costs to make the products must not exceed $3000 per week.

At least 1000 total units must be made each week.

$3.50X + $2.50Y "MUST NOT EXCEED" $3000

$$3.5x+2.5y\le3000$$

X units + Y units must total "AT LEAST" 1000

$$x+y\ge1000$$