Free Printable PC Semester 1 Multiple Choice Practice

1.

What is the inverse of $f\left(x\right)=\sqrt{x+2}$ ?

a)

$y^2-2\ =\ x$

b)

$y=x^2+2$

c)

$y=x^2-2$

d)

$y^2+2=x$

2.

Which function is neither EVEN nor ODD?

a)

$f\left(x\right)=-2x^5$

b)

$f\left(x\right)=5x^3+7x-2$

c)

$f\left(x\right)=x^8+x^6$

d)

$f\left(x\right)=4x^5-2x^3$

3.

What is the equation of a line that passes through (-1, -2) and is perpendicular to the line y - 4x = 7?

a)

y=-\frac{1}{4}x+7

b)

$y=\frac{1}{4}x-\frac{9}{4}$

c)

$y=-\frac{1}{4}x-\frac{9}{4}$

d)

$x-4y=7$

4.

What is $f\left(-2\right)\$ if $f\left(x\right)=3x^3+5x^2-4$ ?

a)

-42

b)

-48

c)

40

d)

-8

5.

What is the equation of the transformation of $y=x^2$ up 4 units and right 2 units?

a)

$y=\left(x-2\right)^2+4$

b)

$y=\left(x+2\right)^2+4$

c)

$y=\left(x-2\right)^2-4$

d)

$y=2x^2+4$

6.

What is the equation of the line with x-intercept 7 and y-intercept -4?

a)

$y=7x-4$

b)

$y=\frac{4}{7}x+4$

c)

$4x-7y=28$

d)

$y=-4x-4$

7.

According to the Rational Root Theorem, which is NOT a possible solution of the equation: $2x^4+3x^3-6x+7=0$

a)

$\frac{7}{2}$

b)

$\frac{1}{2}$

c)

7

d)

2

8.

Find all the zeros of the equation: $y=4x^3+2x^2+2x+1$

a)

$\frac{1}{2},\ \pm\frac{i}{2}$

b)

$-\frac{1}{2},\ \pm\frac{i}{2}$

c)

$1,\ \pm\frac{i\sqrt{2}}{2}$

d)

$-\frac{1}{2},\ \pm\frac{i\sqrt{2}}{2}$

9.

Write a polynomial equation with roots: 5 and 2 + i

a)

0=x^3-9x^2+25x-25

b)

$0=x^3+x^2-15x+25$

c)

$0=x^3-9x^2-5x-25$

d)

$0=x^3-5x^2-25x+25$

10.

Which rational function is shown in the graph?

a)

$g\left(x\right)=\frac{x+1}{x-1}$

b)

$g\left(x\right)=\frac{1}{x-1}$

c)

$g\left(x\right)=\frac{-1}{x-1}$

d)

$g\left(x\right)=\frac{x-2}{x+1}$

11.

Find the area of a triangle with side lengths 5in, 16in, 17in.

a)

$6.48\ in^2$

b)

$39.95\ in^2$

c)

$120.50\ in^2$

d)

$42.23\ in^2$

12.

A bacteria culture that started with 100 bacteria tripled after 2 hours. Use your calculator to find the exponential growth rate of the bacteria culture.

a)

54.9%

b)

1.7%

c)

11.3%

d)

170.0%

13.

$\frac{2x^2+2}{x-1}$ Find the slant asymptote:

a)

y = 2x + 4

b)

y = 2x

c)

y = 2x +-2

d)

y = 2x + 2

14.

What is the domain for $f\left(x\right)=\frac{6x-3}{4x^2+5x-6}$ ?

a)

$\left\{x:\ x\ne\frac{1}{2}\right\}$

b)

$\left\{x:\ x\ne-2,\ \frac{3}{4}\right\}$

c)

$\left\{x:\ x=-2,\ \frac{3}{4}\right\}$

d)

All Real Numbers

15.

In triangle ABC, a = 10, b = 6 $m\angle A\ =\ 52\degree$ . Use a calculator to find $m\angle B$ .

a)

$28.2\degree$

b)

$61.8\degree$

c)

$38\degree$

d)

$31.0\degree$

16.

Solve: $9^{\left(x+6\right)}=3^{3x}$

a)

x = 6

b)

x = 12

c)

x = 3

d)

x = 2

17.

Condense $\log_29-4\log_23$ into a single logarithm.

a)

$4\log_227$

b)

$\log_2\frac{27}{4}$

c)

$\log_2\frac{3}{4}$

d)

$\log_2\frac{1}{9}$

18.

Factor $4x^3-32$

a)

$4\left(x+2\right)\left(x-2\right)\left(x+2\right)$

b)

$4\left(x+2\right)\left(x^2+2x+4\right)$

c)

$4\left(x-2\right)^3$

d)

$4\left(x-2\right)\left(x^2+2x+4\right)$

19.

Evaluate $2\log_39\ =\ x$

a)

1

b)

$\frac{1}{4}$

c)

2

d)

4

20.

Let $f\left(x\right)=3x+6$ and $g\left(x\right)=2x^2$ . Find $f\cdot g$

a)

$6x^2+6$

b)

$6x^3+12x^2$

c)

$2x^2+3x+6$

d)

$5x^2+6$

PC Semester 1 Multiple Choice Practice

Total questions: 20

Worksheet time: 10mins

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