Unit 3 Quiz ? Year 9

1 Find the gradient of the line through $(1, -2)$ and $(5, 6)$.

A) $1$B) $2$C) $3$D) $4$

2 The equation of the line with gradient $-3$ and y-intercept $4$ is:

A) $y = 3x + 4$B) $y = -3x + 4$C) $y = 4x - 3$D) $y = -4x + 3$

3 Which point lies on $y = 2x - 5$?

A) $(1, -3)$B) $(2, 1)$C) $(3, 1)$D) $(0, 5)$

4 A line perpendicular to $y = 4x - 1$ has gradient:

A) $4$B) $-4$C) $1/4$D) $-1/4$

5 Solve $3x - 7 \leq 8$:

A) $x \leq 1$B) $x \leq 5$C) $x \geq 5$D) $x \geq 1$

6 The vertex of $y = (x - 2)^2 + 3$ is:

A) $(-2, 3)$B) $(2, 3)$C) $(2, -3)$D) $(-2, -3)$

7 $y = -x^2 + 4x$ has x-intercepts:

A) $(0, 0)$ and $(4, 0)$B) $(0, 0)$ onlyC) $(2, 0)$ onlyD) No x-intercepts

8 $y = 5^x$ is an example of:

A) LinearB) QuadraticC) ExponentialD) Hyperbolic

9 The horizontal asymptote of $y = 2^x$ is:

A) $y = 1$B) $y = 0$C) $x = 0$D) $y = 2$

10 The radius of $(x - 1)^2 + (y + 2)^2 = 9$ is:

A) $9$B) $3$C) $81$D) $1$

11 $y = f(x + 3)$ shifts the graph of $y = f(x)$:

A) Right 3B) Left 3C) Up 3D) Down 3

12 A car loses 10% of its value each year. This is:

A) Linear decayB) Exponential decayC) Quadratic decayD) No decay

13 Second differences constant indicates:

A) LinearB) QuadraticC) ExponentialD) None

14 The break-even point is where:

A) Profit is maximumB) Cost equals revenueC) Revenue is zeroD) Cost is minimum

15 $y = x^2$ and $y = 2x + 3$ intersect at:

A) $(-1, 1)$ and $(3, 9)$B) $(1, 1)$ onlyC) $(3, 9)$ onlyD) No points