University of South Africa Elementary Quantitative Methods QMI Unique Number: 893111 Assignment 1 Semester 1

Elementary Quantitative Methods
QMI1500 Assignment 1
Semester 1, 2020
Unique Number: 893111
Question 1

Which of the following expressions are equal?

i. 3 − 6 ÷ (2 + 1) = 1
ii. (6 − 4) ÷ 2 + 1 = 2
iii. (6 + 8) ÷ 7 − 1 = 1

Use your calculator

Answer: Only i and iii
[Option 3]

Question 2
1 3 4 10 2
Simplify 3 + ( − ) × ÷4
2 2 5 3 3

Use the appropriate calculator that can work out fractions

Answer: 4
[Option 1]

Question 3

Which one of the following equations is correct?

Answer: 𝒚𝟑 × 𝒚𝟐 = 𝒚𝟑+𝟐 = 𝒚𝟓
[Option 2]

, Question 4
2𝑦𝑧 × 𝑥3 𝑧 5
Simplify 𝑥
𝑥5𝑦𝑧4

𝑥2𝑦𝑧 × 𝑥3𝑧5 𝑥2+3. 𝑦. 𝑧1+5 𝑥5𝑦𝑧6
= = 5 4 = 𝑧6−4 = 𝑧2
𝑥 𝑦𝑧
5 4 𝑥5. 𝑦. 𝑧4 𝑥 𝑦𝑧

Note how the 𝑥5𝑦 terms will cancel each other on the third step.

Answer: 𝒛𝟐

[Option 4]
Question 5

The expression 3√8 × 32 + √(25 + 15) ÷ 10 × √62 − 11 is equal to

Use a calculator to get

Answer: 𝟏𝟖 + 𝟐√𝟓
[Option 3]
Questions 6 and 7 are based on the following:
Two judges must be selected from a group of four judges available to serveat a
murder trial.

Question 6

Assume that the two judges are to serve two different roles at the trial. Howmany
selections of two judges can be made?

Since order is important in the selection of the judges, the selection is a
“Permutation.”

Use the 𝒏𝑷𝒓 key on the calculator to compute 𝟒 𝒏𝑷𝒓 𝟐

Answer: 12 [Option 3]