Free Printable Calculus 0.4 Quiz 2022

1.

Solve the equation. Be sure to check for extraneous solutions.

\frac{5}{6\nu\ }+\frac{1}{\nu}=-4

a)

$-\frac{3}{14}$

b)

$\frac{11}{6}$

c)

$-\frac{11}{24}$

d)

$-\frac{31}{24}$

2.

Solve the equation. Check for extraneous solutions.

\frac{5}{\gamma+5}-\frac{2}{\gamma-5}=\frac{10}{\left(\gamma+5\right)\left(\gamma-5\right)}

a)

25

b)

15

c)

-15

d)

45

3.

Solve by factoring.

\kappa^2-5\kappa+6=0

a)

2 & 3

b)

-2 & 3

c)

-2 & -3

d)

2 & -3

4.

Solve by factoring.

5\rho^4-80\rho^2=0

a)

0, $-4\sqrt{5}$ , $4\sqrt{5}$

b)

0

c)

-4 & 4

d)

0, -4, & 4

5.

Use the discriminant to determine whether the quadratic equation has 2 real solutions, 1 repeated real solution, or no real solutions (2 imaginary). You do not need to solve the equation.

6\chi^2-6\chi-1=0

a)

1 repeated real solution

b)

no real solutions (2 imaginary)

c)

2 real solutions

6.

Use the discriminant to determine whether the quadratic equation has 2 real solutions, 1 repeated real solution, or no real solutions (2 imaginary). You do not need to solve the equation.

\chi^2=-3\chi-5

a)

1 repeated real solution

b)

no real solutions (2 imaginary)

c)

2 real solutions

7.

Solve by the Square Root Method.

\left(\eta-5\right)^2=16

a)

1& -9

b)

4 & -4

c)

9 & 1

d)

21

8.

Solve using Completing the Square.

\kappa^2-4\kappa-7=0

a)

$2\pm\sqrt{11}$

b)

$2\pm\sqrt{7}$

c)

$-2\pm\sqrt{11}$

d)

$4\pm\sqrt{7}$

9.

Use the quadratic formula to solve:

\nu^2+4\nu-3=0

a)

$-2\pm\sqrt{7}$

b)

$-1\pm\sqrt{7}$

c)

$2\pm\sqrt{7}$

d)

$-4\pm\sqrt{28}$

10.

Solve the equation. Check for extraneous solutions.

4\left|3\rho+4\right|-1=19

a)

$-3$

b)

$\frac{1}{3}\&-3$

c)

$\frac{1}{3}$

d)

$\frac{4}{3}\&\ 3$

11.

Solve using any method of your choice (factoring, quadratic formula, or completing the square).

\gamma^2+18\gamma+81=25

a)

4 & 14

b)

-4 & -14

c)

-7 & -8

d)

7 & 8

12.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

13.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

14.

Solve the radical equation. Don't forget to check your answers!

a)

No solution

b)

33

c)

61

d)

47

15.

Solve the radical equation. Don't forget to check your answers!

a)

x = -2 only

b)

x = 3, x = -2

c)

x = 3 only

d)

No Solution

16.

Simpify $\sqrt{112}$

a)

$4\sqrt{7}$

b)

$16\sqrt{3}$

c)

$16\sqrt{7}$

d)

$4\sqrt{3}$

17.

$\sqrt{-28}$ Simplify

a)

$-\sqrt{28}$

b)

$-2i\sqrt{7}$

c)

$2i\sqrt{7}$

d)

$28i$

18.

Solve by completing the square.
$x^2-8x-14=0$

a)

$x=4\pm\sqrt{30}$

b)

$x=8\pm\sqrt{14}$

c)

$x=4\pm\sqrt{14}$

d)

$x=-4\pm\sqrt{30}$

19.

Solve. Select ALL solutions. $5\left|7+x\right|+2=17$

a)

$-10$

b)

$3$

c)

$4$

d)

$-4$

20.

Solve.

| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

Calculus 0.4 Quiz 2022

Total questions: 20

Worksheet time: 1hrs 28mins

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