Algebra Foundations Final Review

Jose works 8 hours a day. He charges $50 per hour for his labor. He quoted Mr. Garcia $7,000 for a job that took 15 days. What was the result of his estimate?

• His estimate was accurate; both parties received exactly what they should

• His estimate was close enough; both parties received a fair deal

• His estimate was too high; Jose overcharged Mr. Garcia

• His estimate was too low; Jose undercharged Mr. Garcia

The product of two rational numbers is a rational number.

• True

• False

The quotient of two integers is an integer.

• True

• False

The difference of two whole numbers is a whole number.

• True

• False

The sum of two natural numbers is a natural number.

• True

• False

Ordering n books from an online bookstore at $15.99 per book comes with a 7.25% sales tax and a shipping charge of $2.50 for each book after the first. If n is the whole number of books ordered, what are the units for the quantity represented by the expression?

15.99n + 0.0725(15.99n) + 2.50(n - 1)

• books

• dollars

• dollars per book

• percent of total cost

In a tip jar, there are only pennies, nickels, dimes, and quarters. The jar contains p pennies, n nickels, d dimes, and q quarters. Using this information, what does the following expression represent?

​

​p + n + d + q

• the total percent of each coin in the tip jar

• the total weight of the coins in the tip jar

• the total number of coins in the tip jar

• the total value of the coins in the tip jar

Let ​

n = netbooks

b = dollars per netbook

​p = cases of paper

c = dollars per case of paper

​T = nb + pc is the equation for the total dollars (T) the school spends.

​How would the equation T = nb + pc be changed if the cost of the netbooks was represented as 30 times the cost of a case of paper?

• T = nc + pc + (30c)b

• T = n(30)b + pc

• T = n(30c) + pc

• T = nb + p(30)c

The following is the formula for finding the area (A) of a trapezoid with a height (h) and bases $b_1$  and $b_2$  :

 $A=\frac{1}{2}h\left(b_1+b_2\right)$  ​
Which of the following answers shows the formula correctly solved for the height?

•  $h=\frac{1}{2}A\left(b_1+b_2\right)$  

•  $h=\frac{2A}{b_1+b_2}$  

•  $h=2A-b_1-b_2$  

The following is the standard formula for a linear equation:

Ax + By = C

​

Which of the following shows the formula correctly solved for the y variable?

• $y=B\left(-Ax+c\right)$

• $y=Ax+B-C$

• $y=-\frac{A}{B}x\ +\frac{C}{B}$

• $y=\frac{1}{B}\left(Ax-C\right)$