Question : If $ax–4y = – 6$ has a slope of $-\frac{3}{2}$, what is the value of $a$?

Option 1: 6

Option 2: 3

Option 3: – 6

Option 4: – 3

Question : If $(x-\frac{1}{3x})=\frac{1}{3}$, then the value of $3(x-\frac{1}{3x})$ is:

Option 1: –1

Option 2: –2

Option 3: 1

Option 4: 2

Question : What is the equation of the line whose y-intercept is $-\frac{3}{4}$ and making an angle of $45^{\circ}$ with the positive x-axis?

Option 1: $4x–4y=3$

Option 2: $4x-4y=–3$

Option 3: $3x–3y=4$

Option 4: $3x–3y=–4$

Question : If $xy = -6$ and $x^3+ y^3= 19$ ($x$ and $y$ are integers), then what is the value of $\frac{1}{x^{–1}}+\frac{1}{y^{–1}}$?

Option 1: –1

Option 2: –2

Option 3: 1

Option 4: 2

Question : If $\frac {x^2+3x+1}{x^2–3x+1}=\frac{1}{2 }$, then the value of $(x+\frac{1}{x})$ is:

Option 1: 9

Option 2: –9

Option 3: 1

Option 4: 2