Free Printable Mat 1150 Exam III Prep Winter 2022

1.

For $16x^2+x=15$ , a, b, and c of the quadratic formula would be:

a)

a=16, b =1, and c=15

b)

a=-16, b =0, and c=(-15)

c)

a=16, b =1, and c=(-15)

d)

a=16, b =0, and c=(-15)

2.

Evaluate the expression from the quadratic formula:

$x=\frac{-7\pm\sqrt[]{7^2-4\left(1\right)\left(-8\right)}}{2\left(1\right)}$

a)

x=8 or x=1

b)

x=16 or x=2

c)

x=1 or x = (-8)

d)

x= (-1) or x=(-9)

e)

x=(-1) or x=(-8)

3.

Solve $x^2=x+5$ Round your answer to two decimal places. Hint: try desmos.

a)

x=1.79 or x=2.79

b)

x=(-1.79) or x=2.79

c)

x=(-1.79) or x=(-2.79)

d)

x=1.79 or x=(-2.79)

4.

Solve the quadratic equation. Use if $i=\sqrt[]{-1}$ necessary. $x^2+6x+13=0$

a)

x=(3+2i) or x = (3-2i)

b)

x=(-3+2i) or x= (-3 -2i)

c)

x=-1 or x = -5

d)

x = 1 or x=5

e)

x=(-3+4i) or x = (-3 - 4i)

5.

(Section 10.3) Solve for x. $x^4-17x^2+16\ =\ 0$ Hint: use a substitution

a)

x=1 or x = 16

b)

x=1 or x = 4

c)

x=1 or x=(-1)

d)

x= 1 or x=(-1) or x=4 or x= (-4)

6.

Solve for x. $x^{\frac{2}{3}}-x^{\frac{1}{3}}-12\ =\ 0$ (You need to recognize this is "quadratic in form and make the proper substitution)

a)

x=4 or x = (-3)

b)

x=(-4) or x = 3

c)

x=64 or x = (-27)

d)

x=(-64) or x = 27

7.

Solve for x. $x-2x^{\frac{1}{2}}-8=0$

a)

x=4 or x =(-2)

b)

x=2 or x= $i\sqrt[]{2}$

c)

x=16 or x=4

d)

x=16

8.

(Section 10.4) The graph of the parabola $y=3\left(x-2\right)^2-12$

a)

Has a vertex at (-2, 12) symmetry at x=(-2)

b)

Has a vertex at (2, 12) and symmetry at y=2

c)

Has a vertex at (2, -12) an axis of symmetry at x=2

d)

Has a vertex at (-2, -12) an axis of symmetry at y=2

9.

Use the formula $x=-\frac{b}{2a}$ to find the x-coordinate of the vertex for $2x^2-8x+4=0$ . Note this is also this will also give you the equation for the axis of symmetry.

a)

x=(-4)

b)

x=2

c)

x=4

d)

x=(-8)

10.

(Section 10.5) Solve the inequality, write your answer in INTERVAL notation.

$x^2-6x+8\ge0$

a)

$x\le2\ \ \ or\ \ \ x\ge4$

b)

$\left(-\infty,\ 2\right)\cup\left(4,\infty\right)$

c)

$\left(-\infty,2\right]\cup\left[4,\ \infty\right)$

d)

$\left(-\infty,-4\right]\cup\left[-2,\infty\right)$

11.

Solve the inequality. Write your answer in interval notation

$\frac{x^2-2x-3}{x+5}\ge0$

a)

$\left(-5,\ -1\right]\cup\left[3,\ \infty\right)$

b)

$\left(-\infty,\ -5\right)\cup\left[-1,3\right]$

c)

$\left(-\infty,-5\right)\cup\left(3,\infty\right)$

d)

$\left(-5,-1\right)\cup\left(1,3\right)$

12.

(Section 11.1). $f\left(x\right)=\ 5x+4\ and\ g\left(x\right)=7-3x$ , find $\left(f\circ g\right)\left(2\right)$

a)

=(-35)

b)

=14

c)

=9

d)

=1/14

13.

For $f\left(x\right)=\ 2x\ +\ 8\ \ and\ g\left(x\right)=x-3$ , find the domain of $\frac{f\left(x\right)}{g\left(x\right)}$

a)

All real numbers

b)

x= 3 or x = (-4)

c)

$\left(-\infty,\ 3\right)\cup\left(3,\infty\right)$

d)

$\left(-\infty,\ -4\right)\cup\left(-4,\infty\right)$

14.

(Section 11.2)

Find the inverse function of $f\left(x\right)=7x+4$

a)

$f^{-1}\left(x\right)=7x-4$

b)

$f^{-1}\left(x\right)=\frac{1}{7x+4}$

c)

$f^{-1}\left(x\right)=\frac{x-4}{7}$

d)

$f^{-1}\left(x\right)=\frac{4}{7}x+4$

15.

The graph of a function and the graph of it's inverse

a)

Are reflections of each other around the y-axis.

b)

Are mirror images around the x-axis.

c)

Are mirror images around the line y=x.

d)

Are flipped upside down from each other.

16.

If $f\left(x\right)\ is\ a\ function\ and\ g\left(x\right)\$ is the inverse, then

a)

f(g(x))=g(f(x)

b)

Only one of these is true:

f(g(x)=x OR g(f(x))=x

c)

Both of these are true:

f(g(x)=x and g(f(x))=x

17.

(Section 11.3) Compared to the graph of $f\left(x\right)=2^x$ the graph of $g\left(x\right)=2^{\left(x+5\right)}-12$

a)

has been shifted right 5 and down 12

b)

has been shifted right 5 and up 12

c)

has been shifted left 5 and down 12

d)

has been shifted left 5 and up 12

18.

The graph of $f\left(x\right)=3^{\left(x+5\right)}-12$

a)

Has a horizontal asymptote at 12

b)

Has a horizontal asymptote at (-12)

c)

Has a horizontal asymptote at x=(-12)

d)

Has a horizontal asymptote at y=(-12)

19.

Jackie's Junk Bond Bank offers 5.2% interest compounded monthly. How much would $5000 be worth if it is invested for 6 years?

a)

$6777.42

b)

$6826.17

c)

$5132.42

d)

$43356.40

20.

(Section 11.4) Rewrite the equation as an equivalent equation using exponents.

$Log_84=\frac{2}{3}$

a)

$8^{\frac{2}{3}}=4$

b)

$4^{\frac{2}{3}}=8$

c)

$4^{\frac{3}{2}}=8$

d)

$8^{\frac{3}{2}}=4$

21.

Solve the equation for x.

$Log_x16=2$

a)

x=4 or x=(-4)

b)

x=256 or x= (-256)

c)

x=4

d)

x=2

22.

This quiz was _________ in helping me prepare for the exam.

a)

Very helpful

b)

helpful

c)

somewhat helpful

d)

not helpful

23.

Should I consider making more of these? Any suggestions if I do?

4 lines

Mat 1150 Exam III Prep Winter 2022

Total questions: 23

Worksheet time: 1hrs 22mins

Similar Resources on Wayground