This is the second part (questions 11-20) of the solutions of the Grade 8 MTAP 2015 Elimination Questions. You can read the solutions for questions 1-10 here. If you found any errors in the solution, please comment in the box below.
11.) If and , what is ?
12.) Simplify .
13.) If and are positive constants, simplify .
Note that , and
This is already correct, but if you want your answer in radical form, the previous expression can be converted to
14.) What is the quotient when is divided by ?
Answer: remainder .
15.) In Item 14, what is the remainder?
16.) If , what is ?
17.) If and , what is ?
Substituting the given values above,
18.) If the length, width, and height of an open-top rectangular box are cm, cm, and cm, what is its surface area?
The formula for finding the surface area of a rectangular prism with length , width and height is . Since the box is open, we subtract lw, which is the top face. So, the surface area of the open box is .
Substituting, we have
19.) A man walked km for 2.5 hrs, then jogged km for 3.5 hrs, and finally walked again km for 4 hrs. If his average speed for the entire exercise was 4 kph, what is x?
Answer: 3/5 or 0.6
20.) Simplify .
We can group the expressions as sum and difference of two cubes.
Now, this is in the form of the difference of two squares .