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Question 1 of 10

1. Question

If the gradient of \(\left( {8,a} \right)\) and \(\left( {-1,3} \right)\) is \(2 \), find the value of \(a \).

\(a = \)

Correct

Incorrect

Question 2 of 10

2. Question

The perpendicular bisector of \(\left( {1,2} \right)\) and \(\left( {3,7} \right)\) is \(4x + 10y + A = 0\).

\(A = \)

Correct

Incorrect

Question 3 of 10

3. Question

State whether $y=x-1$ is a function or not.

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Incorrect

Hint

The relation is a function if each vertical line cuts the graph no more than once.

Question 4 of 10

4. Question

Given \(f\left( x \right) = ax + b\), \(f\left( 0 \right) = 1\) \(f\left( 1 \right) = -1\) and \(f\left( 2 \right) = -1\), find \(a \) and \(b\).

\(a = \) \(b = \) \(c = \)

Correct

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Question 5 of 10

5. Question

State the domain and range of \(y = {x^2} – 2x\).

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Incorrect

Question 6 of 10

6. Question

If the domain of \(y = 2x – 1\) is \(1 \le x < 2\), state the range of \({y^{ - 1}}\).

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Question 7 of 10

7. Question

The amount in an investment account is initially \( $4500 \) at the beginning of January 2019 and increase by 5% per annum. At which year and month the amount becomes double.

Correct

Incorrect

Hint

\(A = P \times {\left( {1 + r} \right)^t}\)

Question 8 of 10

8. Question

The value of a scrap metal bought for \($3400 \) decreases by 3% each year. Find how much the metal is worth after 7 years, correcting to 2 significant figures.

amount = $

Correct

Incorrect

Hint

\(A = P \times {\left( {1 – r} \right)^t}\)

Question 9 of 10

9. Question

The least squares regression line for heights \({(h)}\) of high school students as a function of the number of years of school \({(n)}\) is given by the rule \(h = 114 + 5.34n\). Choose correct statements.

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Incorrect

Question 10 of 10

10. Question

The value of a piece of land bought for \($3400 \) at the beginning of 2020 decreases by 3% each year. Find which year the value becomes half.