Graph Practice Questions – Test 1

  1. In the figure below, what is the area of the shaded circle inside of the square?

  1. 512 m2
  2. 256 m2
  3. 16 m2
  4. 50.24 m2
  5. 12.57 m2
Show Answer
The correct answer is E!

The area of the circle may be found by using the formula \(A=\pi r^2\). Since the square has a diameter of 4 m, the circle has a radius of 2 m. Substituting 2 for \(r\) into the formula gives \(A=\pi(2)^2\), or \(A=4\pi\). Thus, the area of the circle is approximately 12.57 m2.

 

  1. In the figure below, determine the area of the shaded region.

  1. 9.354 m2
  2. 10.52 m2
  3. 16.437 m2
  4. 49 m2
  5. 104.86 m2
Show Answer
The correct answer is B!

The area of the square is equal to 72, or 49, square units. The area of the circle may be represented as \(\pi(3.5)^2\), or \(12.25π\), which is approximately 38.48 square units. The area of the shaded portion of the figure equals the difference of 49 square units and 38.48 square units, which is 10.52 square units.

 

  1. What are the coordinates of point A on the following graph?

  1. \((-3,-4)\)
  2. \((-4,3)\)
  3. \((3,-4)\)
  4. \((-4,-3)\)
  5. \((3,4)\)
Show Answer
The correct answer is C!

The point represents the \(x\)-value of 3 and the \(y\)-value of -4, thus the ordered pair may be written as \((3,-4)\).

 

  1. What was the average number of babies that Dr. Jones delivered each year from 2019 to 2022?

  1. 35
  2. 40
  3. 45
  4. 50
  5. 55
Show Answer
The correct answer is C!

The average may be written as follows:

\(\frac{35+40+50+55}{4}=45\)

 

  1. How many babies did Dr. Jones deliver in 2022?

  1. 25
  2. 35
  3. 45
  4. 55
  5. 65
Show Answer
The correct answer is D!

Since each rattle represents the delivery of 10 babies, 5\(\frac{1}{2}\) rattles represents the delivery of 55 babies.

 

  1. If Dr. Jones delivered 85 babies in 2023, how many rattles would represent this number?

  1. 6\(\frac{1}{2}\)
  2. 7
  3. 7\(\frac{1}{2}\)
  4. 8
  5. 8\(\frac{1}{2}\)
Show Answer
The correct answer is E!

Delivery of 85 babies would be represented by 8 whole rattles and \(\frac{1}{2}\) of another rattle, since 8\(\frac{1}{2}\times 10=85\).

 

  1. If Zayn’s Auto sold 23,000 vehicles, how many were SUVs?

  1. 2,990
  2. 3,030
  3. 3,450
  4. 4,760
  5. 4,775
Show Answer
The correct answer is A!

The number of SUVs sold is equal to \(0.13 \times 23,000\), which is 2,990.

 

  1. If Zayn’s Auto sold 7,650 trucks, how many total vehicles were sold?

  1. 35,000
  2. 40,000
  3. 45,000
  4. 50,000
  5. 55,000
Show Answer
The correct answer is C!

If 7,650 trucks are sold, which constitutes 17% of the total number of vehicles sold, then the total number of vehicles sold may be determined by solving the equation \(7,650 = 0.17x\). Dividing both sides of the equation by 0.17 gives 45,000.

 

  1. If Zayn’s Auto sold 3,750 2-door sedans, then how many 4-door sedans were sold?

  1. 3,578
  2. 4,950
  3. 5,120
  4. 5,670
  5. 5,845
Show Answer
The correct answer is B!

The total number of vehicles sold may be determined by solving the following equation for \(x\):

\(0.25x = 3,750\)

Thus, 15,000 vehicles were sold. The number of 4-door sedans is equal to the product of 0.33 and 15,000, which 4,950.

 

  1. How much did the infant gain in the first month of life?

  1. 6 oz
  2. 12 oz
  3. 15 oz
  4. 8 lb 8 oz
  5. 9 lb 4 oz
Show Answer
The correct answer is B!

The weight increased from 8.5 lb to 9.25 lb, showing an increase of 0.75 lb. The number of pounds may be converted to ounces by writing and solving the following proportion:

\(\frac{0.75}{x}=\frac{1}{16}\)

Thus, the infant gained 12 oz during the first month of life.

 

  1. What was the average weight of the infant from April to October, rounded to the nearest ounce?

  1. 10 lb
  2. 10 lb 5 oz
  3. 10 lb 9 oz
  4. 11 lb 5 oz
  5. 11 lb 9 oz
Show Answer
The correct answer is C!

The average weight may be represented as the following ratio:

\(\frac{8.5+9.25+9.75+10.5+11+12+12.75}{7}\)

This is approximately 10.54 pounds, or 10 pounds and 9 ounces.

 

  1. Between which two months did the infant gain the most weight?

  1. April and May
  2. June and July
  3. July and August
  4. August and September
  5. September and October
Show Answer
The correct answer is D!

The infant gained 1 lb between August and September, which was the greatest increase.

 

  1. In the graph below, no axes or origin is shown. If point B’s coordinates are \((10,3)\), which of the following coordinates would most likely be A’s?

  1. \((17,-2)\)
  2. \((10,6)\)
  3. \((6,8)\)
  4. \((-10,3)\)
  5. \((-2,-17)\)
Show Answer
The correct answer is C!

A movement of four units to the left and five units up from the point \((10,3)\) gives \((6,8)\) since \(10 – 4 = 6\) and \(3 + 5 = 8\).

 

  1. How many boys attended the convention?

  1. 358
  2. 390
  3. 407
  4. 540
  5. 716
Show Answer
The correct answer is A!

The number of boys who attended the convention may be represented as \(0.50(716)\), which equals 358.

 

  1. Which year did the same number of boys and girls attend the conference?

  1. 2005
  2. 2006
  3. 2007
  4. 2008
  5. None
Show Answer
The correct answer is A!

In 2005, 50% of the attendees were boys and 50% were girls, thus the same number of boys and girls attended the convention.

 

  1. Which two years did the least number of boys attend the convention?

  1. 2005 and 2006
  2. 2005 and 2008
  3. 2006 and 2007
  4. 2006 and 2002
  5. 2007 and 2008
Show Answer
The correct answer is A!

The number of boys attending the convention each year from 2005 to 2008, may be represented by the expressions \(0.50(716)\), \(0.55(1,108)\), \(0.60(1,520)\), and \(0.35(2,244)\). Thus, the years of 2005 and 2006 had the least number of boys in attendance, with numbers of 358 and 610, respectively.