Math and Graphing Assessment with Tutorials

The slope of the blue curve measures the plane's ________ . The unit of measurement for the slope of the curve is ________ .

rate of descent, feet per minute

Which of the following statements best summarizes the pattern of causality captured by the graph above? Check all that apply.

A change in E causes a shift of the budget constraint. The relationship between S and P is not a causal relationship.

Suppose that at a gas station across the street, prices are always 20% higher than Bob's. In absolute dollar terms, the difference between Bob's prices and the prices across the street is ... when gas costs $3.90 than when gas costs $3.40.

greater

The variable shown on the horizontal axis is ________ .

income

Each small square in the grid for this graph has one side equal to 1 pound of screws and one side equal to 1 dollar per pound. The area of one small square is therefore ________ .

1 dollar

The green carpet is 5 feet wide by 2 feet long, and therefore, it has an area of ________ .

10 feet ^2

Suppose that the relationship between price, P, and quantity, Q, is given by the equation Q=45−3P. Which of the following equations correctly represents solving Q=45−3P for P?

P= 15−13Q

Solve each of the following equations for x . Equations x+3=10 3x+4=16 12−4x=−20

Solutions x=7 x=4 x=8

On April 1, the price of gas at Bob's Corner Station was $3.40 per gallon. On May 1, the price was $3.90 per gallon. On June 1, it was back down to $3.40 per gallon. Between April 1 and May 1, Bob's price increased by ________ , or ________ . Between May 1 and June 1, Bob's price decreased by ________ , or ________

$0.50, 14.71%, $0.50, 12.82%

The values of p and q that solve these two equations simultaneously can be seen on the graph as ________ .

the coordinates at which the two lines intersect

The area of the shaded quadrilateral is ________ feet.

24

Male Female Total White 4,000 3,000 7,000 African 1,000 400 1,400 Hispanic 4,800 1,200 6,000 Asian 2,000 1,000 3,000 Other 1,170 1,430 2,600 Total 12,970 7,030 20,000

Female and Asian: Fraction= 1/20 Decimal= 0.05 Percent= %5

Now rearrange the equation you wrote above so that P is written in terms of E and S . The quantity of pizza he buys can be represented by the equation ________ .

P= E - ($5.00xS)/$3.00

Suppose Felix has $30.00 to spend on salad and pizza; that is, E=$30.00 . Complete the following table with the values of S or P that make the equation true. Budget Salad Pizza (Dollars) (Bowls) (Slices) 30.00 0 ? 30.00 3 ? 30.00 ? 0

Pizza Slices= 10 Pizza Slices= 5 Salad Bowls= 6

Solve the following system of equations for z and for y : System of Equations: y=9+3z y=39−3z

Value of z= 5 Value of y= 24

The units for the variable on the vertical axis are ________ .

thousands of dollars per car

6/7×2/3= The simplified product of these two fractions is ________ .

12/21 4/7

The area of the quadrilateral corresponds to the ________ between ________ .

total feet traveled, second 1 and second 5

Place the orange triangle (square symbols) directly next to the green triangle so that the two triangles together make a rectangle. The total area of this rectangle is ________ , which is ________ the area of the green triangle.

12 inches ^2, double

What advice should you give your friend in this situation?

Go to Betty's Breakables, if the price is above $37.50 (answer varies with information given)

At point B, the slope of the blue curve is ________ , which means that the plane is ... at a rate of ________ feet per minute.

-5,000, descending, 5,000

1/4 + 5/8= The final, simplified sum of these two fractions is ________ .

8/32 + 20/32 7/8

For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship.

As the temperature falls, the demand for popsicles falls= Positive & line C As the temperature rises, the demand for hot cocoa falls- Negative & line D As the temperature rises, the demand for ice-cream rises= Positive & line C

What is wrong with this graph?

It gives no information about the units for the variables.

Organize each of the following equations to express P as a function of Q . Q as a function of P Q=30−P Q=12−3P 8Q=18−2P

P as a function of Q P=30−Q P=4−13Q P=9−4Q

On this graph, the area of the purple rectangle corresponds to:

Royal Hardware's revenue from selling screws, measured in dollars

True or False: Line A has a slope of zero.

True (answer varies on your graph)

The mathematical slope of the steeper line is ________ the slope of the less-steep line.

greater than

The blue carpet is 2 feet wide by 5 feet long. Its area is ________ the area of the green carpet.

the same as

At point A, the slope of the curve is ________ , which means that the plane is ________ at a rate of ________ feet per minute. (Hint: Calculating the slope, pay extra attention to the units of analysis.)

-2,500, descending, 2,500

Some economists blame high commodity prices (including the price of gas) on interest rates being too low. Suppose the Fed raises the target for the federal funds rate from 2% to 2.5%. This change of ________ percentage points means that the Fed raised its target by approximately ________ .

0.5, 25%

The portion of students that are female and Hispanic is 1,200/20,000. Which of the following represent fractions that are equivalent to 1,200/20,000? Check all that apply.

120/2,000, 2,400/40,000

The total revenue curve reaches its maximum at a quantity of ________ refrigerators per year. At this point, the slope of the total revenue curve is ________ .

200, equal to zero

There are ________ small squares in the purple shaded rectangle.

24

Suppose the speed limit in Utah is 35 miles per hour. Use the black point (X symbol) to plot the point on the graph that most likely corresponds to Utah's data. Based on the graph you drew, the number of traffic fatalities that occur each year in Utah on a per-capita basis is likely ________ fatalities per million drivers per year.

50

6/7 ÷ 3/2= The final, simplified quotient of these two fractions is ________ .

6/7 × 2/3 4/7

Suppose that the P in this equation refers to the price Julie is willing to pay for an additional magazine, and the Q refers to the number of magazines to which Julie subscribes. Read the following statement carefully: "The more magazines Julie subscribes to, the less she is willing to pay for an additional magazine." Which of the following best summarizes the pattern of causality suggested by this statement?

A change in Q causes a change in P .

Felix is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and a slice of pizza costs $3.00. Let E be the amount in dollars that Felix spends on salad and pizza. If Felix buys S bowls of salad and P slices of pizza, then the total amount of money he spends (E) can be represented by the equation ________ .

E =$5.00S+$3.00P)

Did lowering the price of screws increase Royal Hardware's revenue?

No

Solve the following system of equations for a and for b : System of Equations: 9a+3b=30 8a+4b=28

Value of a= 3 Value of b= 1

The green (upper) triangle has an area of ________ .The purple (lower) triangle has an area of ________ .

6 inches ^2, 6 inches ^2

There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $60,000 last year and purchased a new car, you would expect that person to have paid about ________ or the car. Similarly, if someone just paid $25,000 for a car, you could use this graph to estimate that this person's income was probably around ________ .

$20,000, $80,000 per year

The blue point already shown on the graph shows the data for Sharon. According to the graph, Sharon's income is ________ per month, and she has ________ .

$3,000 per month, 6 dinners out per month

In the North, if the price goes down by $0.40 per pound, then the quantity supplied in the North goes down by 600 pounds per year. If the price of peaches goes down by $0.40 in the South, what will happen to the quantity supplied?

The quantity will decrease by 600 pounds per year.