Question

sample questions
choose the best answer. if necessary, use the paper you were given.

1. which of the following expressions is 5 times as much as the sum of r and s?

a. 5 * r + s
b. 5 + r + s
c. r + s * 5
d. (r + s) * 5

1. what is the solution to the equation

\\(\frac{1}{2}x + \frac{3}{2}(x + 1) - \frac{1}{4} = 5\\)?
a. \\(\frac{5}{2}\\)
b. \\(\frac{13}{8}\\)
c. \\(\frac{15}{8}\\)
d. \\(\frac{17}{8}\\)

1. what is the number of grams in 500 kilograms?

(1 kilogram = 1,000 grams)
a. 0.5
b. 5,000
c. 50,000
d. 500,000

1. robert sells four different flavors of jam at an annual farmers market. the graph above shows the number of jars of each type of jam he sold at the market during the first two years. which flavor of jam had the greatest increase in number of jars sold from year 1 to year 2?

a. blueberry
b. grape
c. peach
d. strawberry

1. in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). which of the following is an equation of the line?

a. \\(y = \frac{1}{2}x + 3\\)
b. \\(y = 2x + 3\\)
c. \\(y = \frac{1}{2}x - 4\\)
d. \\(y = 2x - 4\\)

1. the amount of money m, in dollars, paul earns can be represented by the equation \\(m = 12.5h + 11\\), where h is the number of hours paul works. which of the following is the best interpretation of the number 11 in the equation?

a. the amount of money, in dollars, paul earns each hour
b. the total amount of money, in dollars, paul earns after working for h hours
c. the total amount of money, in dollars, paul earns after working for one hour
d. the amount of money, in dollars, paul earns in addition to an hourly wage

1. the table gives the population of the 5 largest countries in the european union in the year 2014. which of the following is closest to the mean population of these countries?

a. 80.8 million
b. 64.3 million
c. 63.7 million
d. 60.8 million

Explanation:

Solve Question 1

Translate "5 times as much as the sum of \(r\) and \(s\)" into an algebraic expression:

$$ 5 \times (r + s) = (r + s) \times 5 $$

Solve Question 2

Using the Fraction Arithmetic knowledge point, solve the linear equation:

$$
LATEXBLOCK0
$$

Solve Question 3

Convert \(500\text{ kg}\) to grams using \(1\text{ kg} = 1,000\text{ g}\):

$$ 500 \times 1,000 = 500,000 $$

Solve Question 4

Calculate the increase in jars sold from Year 1 to Year 2 for each flavor:

$$
LATEXBLOCK1
$$

The greatest increase is Blueberry.

Solve Question 5

Find the slope \(m\) of the line passing through \((0, 3)\) and \((4, 5)\):

$$ m = \frac{5 - 3}{4 - 0} = \frac{2}{4} = \frac{1}{2} $$

Since the \(y\)-intercept is \(3\), the equation is:

$$ y = \frac{1}{2}x + 3 $$

Solve Question 6

In the equation \(M = 12.5h + 11\), \(11\) is the constant term representing the initial amount earned regardless of hours worked:

$$ \text{Amount earned in addition to an hourly wage} $$

Solve Question 7

Calculate the mean population of the 5 countries:

$$ \text{Mean} = \frac{65.9 + 80.8 + 60.8 + 46.5 + 64.3}{5} = \frac{318.3}{5} = 63.66\text{ million} $$

The closest value is \(63.7\text{ million}\).

Answer:

Question 1

• A. \(5 \times r + s\)
• B. \(5 + r + s\)
• C. \(r + s \times 5\)
• D. \((r + s) \times 5\) (Correct answer)

Question 2

• A. \(\frac{5}{2}\)
• B. \(\frac{13}{8}\)
• C. \(\frac{15}{8}\) (Correct answer)
• D. \(\frac{17}{8}\)

Question 3

• A. \(0.5\)
• B. \(5,000\)
• C. \(50,000\)
• D. \(500,000\) (Correct answer)

Question 4

• A. Blueberry (Correct answer)
• B. Grape
• C. Peach
• D. Strawberry

Question 5

• A. \(y = \frac{1}{2}x + 3\) (Correct answer)
• B. \(y = 2x + 3\)
• C. \(y = \frac{1}{2}x - 4\)
• D. \(y = 2x - 4\)

Question 6

• A. The amount of money, in dollars, Paul earns each hour
• B. The total amount of money, in dollars, Paul earns after working for \(h\) hours
• C. The total amount of money, in dollars, Paul earns after working for one hour
• D. The amount of money, in dollars, Paul earns in addition to an hourly wage (Correct answer)

Question 7

• A. \(80.8\text{ million}\)
• B. \(64.3\text{ million}\)
• C. \(63.7\text{ million}\) (Correct answer)
• D. \(60.8\text{ million}\)