Free Printable Test 1 Form A

1.

If f(x) = 2x² +3x + 4, find f(-2)

a)

14

b)

26

c)

6

d)

18

2.

If g(x) = x² - 7x, find x if g(x) = 30

a)

x = -6 or x = 5

b)

x = 6 or x = -5

c)

x = 3 or x = -10

d)

x = -3 or x = 10

3.

Find the domain:

a)

-4 ≤ x ≤ 7

b)

-6 ≤ x ≤ 4

c)

-9 ≤ x ≤ 5

d)

-7 ≤ x ≤ 5

4.

Find the range

a)

$-1\ \le\ y\ <\infty$

b)

$-\infty\ <\ y\ <\ \infty$

c)

$1\ <\ y\ <\ \infty$

d)

$-2\ \le\ y\ \le\ 2$

5.

Solve for x:

\frac{3}{x}\ +\ \frac{5}{2x}\ =\ 1

a)

$\frac{11}{2}$

b)

$\frac{11}{4}$

c)

$\frac{8}{3}$

d)

$\frac{1}{4}$

6.

Solve for x:

\frac{x}{4}\ -\ \frac{2x}{3}\ =\ 5

a)

-12

b)

1

c)

-15

d)

6

7.

Solve using the Zero Product Property:

4x² - 16x = 0

a)

x = 4 or x = 16

b)

x = 0 or x = 4

c)

x = 0 or x = 16

d)

x = 0 or x = 4 or x = 16

8.

Solve using the Zero Product Property:

x²- 5x - 6 = 0

a)

x = 2 or x = 3

b)

x = -2 or x = -3

c)

x = 6 or x = -1

d)

x = -5 or x = -1

9.

Solve using the Zero Product Property:

6x² + 5x - 6 = 0

a)

$x\ =\ -\frac{2}{3}\ or\ x\ =\ \frac{3}{2}$

b)

$x\ =\ \frac{2}{3}\ or\ x\ =\ -\frac{3}{2}$

c)

x = -3 or x = 2

d)

x - -1 or x = 6

10.

Solve using the Quadratic Formula:

2x² - 6x + 3

a)

$x\ =\ \frac{3\pm\sqrt{6}}{2}$

b)

$x\ =\ \frac{-3\pm2\sqrt{15}}{4}$

c)

$x\ =\ \frac{-3\pm\sqrt{12}}{4}$

d)

$x\ =\ \frac{3\pm\sqrt{3}}{2}$

11.

Find the x-intercepts for

f(x) = 2x² + 5x - 3

a)

$\left(-\frac{1}{3},\ 0\right)\ \ \ and\ \left(2,\ 0\right)$

b)

$\left(-\frac{1}{2},\ 0\right)\ \ \ and\ \ \ \ \left(3,\ 0\right)$

c)

$\left(\frac{1}{3},\ 0\right)\ \ \ and\ \ \ \ \left(-2,\ 0\right)$

d)

$\left(\frac{1}{2},\ 0\right)\ \ \ and\ \ \ \ \left(-3,\ 0\right)$

12.

Find the equation for the line of symmetry for

f(x) = x² + 8x + 12

a)

x = -2

b)

x = -3

c)

x = -4

d)

x = -6

13.

If the x-intercepts of the function f(x) = x² - 3x + 10 are (-2, 0) and (5, 0), find the vertex of the function.

a)

(1.5, 7.75)

b)

(2.25, 8.25)

c)

(2.5, 7.5)

d)

(1.75, 7.25)

14.

Which of the following is the vertex form of f(x) = 2x² + 4x - 5? (Change to vertex form by completing the square)

a)

f(x) = 2(x+2)² - 13

b)

f(x) = 2(x + 4)² -6

c)

f(x) = 2(x + 1)² - 7

d)

f(x) = 2(x - 3)² + 4

15.

A soccer player kicks a soccer ball with all of his might. The ball travels 20 yards long while reaching a height of 5 yards. Which of the following is the quadratic equation for its parabolic path?

a)

$f\left(x\right)\ =\ -\frac{1}{25}\left(x\ -\ 10\right)^2+\ 5$

b)

$f\left(x\right)\ =\ -\frac{1}{5}\left(x-10\right)^2+5$

c)

$f\left(x\right)\ =\ -\frac{1}{10}\left(x-10\right)^2+5$

d)

$f\left(x\right)\ =\ -\frac{1}{20}\left(x-10\right)^2+5$

16.

$f\left(x\right)\ =\ 2\sqrt{x-3}+\ 5$

The graphing pattern for the function is:

a)

up 2 over 1
up 6 over 1
up 10 over 1

b)

up 2 over 1
up 2 over 3
up 2 over 5

c)

up 3 over 5
up 5 over 7
up 9 over 9

d)

up 2 over 1
up 2 over 1
up 2 over 1

17.

The parent graph $f\left(x\right)\ =\ x^2$ is transformed 4 units to the right, 3 units up, and is reflected in the x-axis. Which of the following is the transformed equation?

\

a)

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

b)

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

c)

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

d)

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

18.

Which of the following is the equation for this graph?

a)

$f\left(x\right)\ =\ -\sqrt{x+\ 1}+\ 3$

b)

$f\left(x\right)\ =\ -2\sqrt{x+1}-3$

c)

$f\left(x\right)\ =\ -\sqrt{x+1}-3$

d)

$f\left(x\right)\ =\ -2\sqrt{x-1}-3$

19.

What are the equations of the asymptotes for the function

f\left(x\right)\ =\ \frac{1}{x-4}+3

a)

x = 4 and y = 3

b)

y = 4 and x = 3

c)

x = -4 and y = 3

d)

y = -4 and x = 3

20.

Which of the following is the equation for this circle?

a)

$\left(x\ +\ 1\right)^2\ +\ \left(y\ +\ 2\right)^2=5$

b)

$\left(x\ -\ 1\right)^2\ +\ \left(y\ -\ 2\right)^2=25$

c)

$\left(x\ -\ 1\right)^2\ +\ \left(y\ -\ 2\right)^2=5$

d)

$\left(x\ +\ 1\right)^2\ +\ \left(y\ +\ 2\right)^2=25$

Test 1 Form A

Total questions: 20

Worksheet time: 1hrs 20mins

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