Free Printable Final Mastery Test in Pre-Calculus

1.

Which of the following is the graph of the ellipse defined equation below?

\frac{\left(x+2\right)^2}{25}+\frac{\left(y-1\right)^2}{16}=1

a)

b)

c)

d)

2.

Which of the following is the graph of the equation

4x^2+12x+y^2-8y=64

?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

3.

Which of the following equations represent an ellipse?

a)

3x² + 3y² = 25

b)

3x² - 5y² = 25

c)

3x² + 5y² = 25

d)

3x² + 3y = 25

4.

Which of the following is an equation a circle?

a)

2x² +y + 4x = 0

b)

x² - 4y² = 25

c)

2x² + 2y²+ 3x- 4y= 25

d)

2x² + 3y = 25

5.

Which of the following equations represent a hyperbola?

a)

3x² + 3y² = 25

b)

3x² - 5y² = 25

c)

5x² + 8y² = 25

d)

2x² + 3y = 25

6.

Which of the following equations represent a parabola?

a)

9x² + 3y² = 25

b)

x² - 5y² = 25

c)

3x² + 5y² = 25

d)

2x² + y = 25

7.

The standard form of the equation $9x^2-4y^2=36$ is_________.

a)

\frac{x^2}{4}-\frac{y^2}{9}=1

b)

$\frac{x^2}{36}-\frac{y^2}{9}=1$

c)

$\frac{x^2}{25}-\frac{y^2}{4}=1$

d)

$\frac{x^2}{5}-\frac{y^2}{20}=1$

8.

Which type of conic is represented by the equation 6x² + 6y²+ 12x- 8y= 100 ?

a)

circle

b)

ellipse

c)

parabola

d)

hyperbola

9.

Which of the following is the center of the ellipse?

$\frac{\left(x-2\right)^2}{16}+\frac{\left(y+1\right)^2}{25}=1$

a)

(2, 1)

b)

(2, -1)

c)

(-2, 1)

d)

(-2, -1)

10.

Which of the following are the vertices of the ellipse

$\frac{\left(x-1\right)^2}{16}+\frac{\left(y+2\right)^2}{25}=1$

a)

(1, 2) and (1, -6)

b)

(5, -2) and (-3, -2)

c)

(1, 3) and (1, -7)

d)

(6, -2) and (-4, -2)

Final Mastery Test in Pre-Calculus

Total questions: 10

Worksheet time: 3hrs 30mins

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