Question 1

The table below gives the value of the linear function f for several values of x. What is the value of a + b?
X 2 3 4
F(x) a 8 b

Accepted Answer

The value of a + b is none of the listed answers. The value of a + b is 16.
Solution
Use the linear function equation.
f(x) = mx + b
1. When x = 3, 3m+b = 8. "Guess and check" values for m and b
When m = 2, b = 2
2. Find the missing outputs in the table
f(2) = 2(2) + 2 = 6
f(4) = 4(2) + 2 = 10
3. Add a + b
6 + 10 = 16

Question 2

A point is reflected first over the line y = x, then over the x-axis, then over the y-axis. The resulting point has the coordinates (73, 14). The coordinates of the original point were which of the following?

Accepted Answer

The coordinates of the original point were (-14, -73).
Solution
Assume the original point is (a, b).
1. When the point is reflected over line y = x, the point coordinates become (b, a).
2. When reflected over the x-axis, the coordinates then become (b, -a).
3. When reflected over the y-axis, the coordinates then become (-b, -a)
If the final point is (73, 14), the original point was (-14, -73)

Question 3

Round 6148.11385 to the nearest thousandths place. What is the answer?

Accepted Answer

If you round 6148.11385 to the nearest thousandths place, the answer is 6148.114. In the given number, the 3 is in the thousandths place. The next number used to round it is an 8, which is greater than 5, so you would round the 3 up to 4.

Question 4

What is the perimeter of a rectangle that has 2 sides measuring 4 cm and 2sides measuring 6 cm?

Accepted Answer

A rectangle that has 2sides measuring 4 cm and 2sides measuring 6 cm has a perimeter of 20. To get this answer, you add the sum of all sides: 4+4+6+6=20.

Question 5

Sally, Nick, Bobby, and Kenny are standing in a line. How many different ways can they be ordered?

Accepted Answer

Sally, Nick, Bobby, and Kenny can be ordered 24 different ways in line. You get the answer by multiplying 4 by each number that precedes it.Since there are 4 children, then4x3x2x1=24.

Question 6

What percentage is ¼?

Accepted Answer

¼ = 25%. You can divide the numerator by the denominator to get the percentage. 1 ÷ 4 = .25 which is equal to 25%.

Question 7

Identify the pattern in the following set of numbers:
2, 5, 8, 11, 14, 17

Accepted Answer

The pattern is that the set starts with 2 and jumps 3 each time.

Question 8

According to the US Standard system, which of the following would be used to measure the volume of water in a bath tub?

Accepted Answer

According to the US Standard system, gallons would be used to measure the volume of water in a bath tub. Other countries do not use gallons as a way of measurement. A US Standard liquid gallon is approximately 4.5 liters.

Question 9

Olivia is writing a recipe for orange-colored fruit salad. She uses 4 apricots for every cantaloupe, 2 peaches for every apricot, and one orange for every cantaloupe. If she uses 8 oranges, how many whole pieces of fruit total will be used for the fruit salad?

Accepted Answer

There will be 112 whole pieces of fruit total used for the fruit salad. There will be 8 oranges, 8 cantaloupes, 32 apricots, and 64 peaches.

Question 10

Which property is the following equation an example of?
9 x 1/9 = 9

Accepted Answer

9 x 1/9 = 9 is an example of the multiplicative inverse property. The multiplicative inverse property involves multiplying a number by its reciprocal, or putting it into a fraction with 1 as the numerator. When you multiply it by its reciprocal, you get the original number.

Question 11

Fill in the blank: The right-hand column shown in the table below lists _______ for the indefinite integral F(x).
F'(x) = f (x) F(x) = f(x)dx
1/x Log | x |
Sin x -cos x
Cos x Sin x

Accepted Answer

The right-hand column shown in the give table lists the elementary functions for the indefinite integral F(x). The corresponding derivatives are shown in the left-hand column of the table. Tables of standard integrals can be developed for easy reference when evaluating other integrals.

Question 12

The cell membrane is comprised of which of the following molecules?

Accepted Answer

The cell membrane is comprised of phospholipids. The cell membrane is actually made up of two sheets of phospholipids in an arrangement called a phospholipid bilayer.
Key Takeaway: The phospholipid bilayer is designed so that the hydrophilic heads face the watery regions inside and outside the tail and the hydrophobic tails face each other in a water-free environment. The bilayer forms spontaneously and it is responsible for the selective permeability of the cell membrane. Small and nonpolar hydrophobic molecules and freely pass across the membrane, but charged ions and larger molecules can only move across with processes that require energy.

Question 13

Which of the following is not a property of water?

Accepted Answer

The choice that is not a property of water is that its density as a solid is higher than its density as a liquid. Unlike most substances, solid water (ice) is less dense than liquid water.
Key Takeaway: Water has numerous essential properties that are important biologically and in other aspects of life. Its high surface tension allows large entities such as boats to flow instead of sink. It is known as the "universal solvent" since virtually any substance can be dissolved into water. Unlike most substances, water is denser as a liquid than as a solid. Water is the only naturally occurring substance that exists in all three states of matter, water vapor, liquid water, and ice.

Question 14

Humans store glucose in long chains called ______________.

Accepted Answer

glycogen. Glucose and other sugars are stored in long sugar chains called glycogen.
Key Takeaway: Plants also store sugars in long chains, but in plants these chains are called starches. Both monosaccharides and disaccharides can be combined to create glycogen. Cholesterol is produced as a result of fat intake.

Question 15

A mutation in DNA that changes the DNA sequence but does not alter the amino acid of a protein is known as ____________.

Accepted Answer

silent mutation. A silent mutation in DNA does not change the amino acid sequence of a corresponding protein.
Key Takeaway: In silent mutations, the DNA sequence is altered, but the resulting protein is not. This is the result of a level of redundancy in the mRNA code. Most amino acids can be coded by more than one codon, so a change in DNA does not always lead to a change in protein sequence.

Question 16

What is the function of the myelin sheath that surrounds neurons?

Accepted Answer

Increase speed of impulses. The myelin sheath serves exclusively to increase the speed at which impulses travel across neurons.
Key Takeaway: The myelin sheath increases electrical resistance across a cell membrane by a factor of 5, 000 and decreases capacitance by a factor of 50. Combined, these two factors prevent the electrical current from escaping the axon, thus improving the speed at which impulses travel.

Question 17

Giraffes with longer necks can reach more food and are more likely to survive and produce offspring. This is an example of:

Accepted Answer

Natural selection. Giraffes with longer necks have a distinct survive advantage over those with shorter necks.
Key Takeaway: A key component of natural selection is that changes that are beneficial will win out over changes that are less beneficial. In this case, giraffes with longer necks are able to reach more food than those with shorter necks. This means those giraffes are more likely to be healthy, and more likely to produce offspring, since reproduction requires a certain level of physical health.

Question 18

As the dominant plant of the area changes, the total biomass of the community __________.

Accepted Answer

increases. As a community moves through a succession, each change brings forth an increase in total biomass.
Key Takeaway: As a community moves through a succession, it is characterized by an increase in total biomass, a greater capacity to retain nutrients in the system, increasing species diversity, and increasing size and lifespan of organisms.

Question 19

Which of the following can function as an inorganic coenzyme?
I. Iron
II. Magnesium
III. Zinc

Accepted Answer

The elements that can function as inorganic coenzymes are iron, magnesium, and zinc. In fact, all three are essential for the functioning of biologically important enzymes.
Key Takeaway: Inorganic coenzymes typically cannot be made by the body and must be supplied through the diet. Inorganic coenzymes are typically metallic, and other examples include manganese, copper, and selenium. Important enzymes requiring inorganic coenzymes include glucose-6-phosphatase, DNA polymerase, and catalase. Inorganic coenzymes are not to be confused with other elements such as calcium and iodine are essential for biological functions but do not act to activate enzyme activity.

Question 20

Solve: 5²

Accepted Answer

5 squared is 25. 5 multiplied by itself is 25.

Quiz 1: Health Occupations Basic Entrance (HOBE)

The table below gives the value of the linear function f for several values of x. What is the value of a + b? X 2 3 4 F(x) a 8 b

A point is reflected first over the line y = x, then over the x-axis, then over the y-axis. The resulting point has the coordinates (73, 14) . The coordinates of the original point were which of the following?