Free Printable Unit 2B Mock Test

1.

Simplify, then identify the coefficients and constant.

(3 - 2x + 2x²) - (4x - 5 + 3x²)

a)

coefficients: 1, 6

constant: 8

b)

coefficients: 2, 5

constant: -7

c)

coefficients: -1, -6

constant: 8

d)

coefficients: -2, 11

constant: -4

2.

Which of the following is a quadratic trinomial?

a)

$3x^2-4x+1$

b)

$5-2x^2$

c)

$3.14x^2$

d)

$7x^2+9-3x^3$

3.

Ms. Jones was building a fence for her mom’s garden over the summer. She found the length of one side was $\sqrt[]{125}$ feet. In simplest form, what was the length of the fence?

a)

$\sqrt[]{100}\cdot\ \sqrt[]{25}$

b)

$5\sqrt[]{3}$

c)

$3\sqrt[]{5}$

d)

$5\sqrt[]{5}$

4.

Which is the equivalent to the radical in the simplest form? $5\sqrt{-24}$

a)

$4i\sqrt{6}$

b)

$10i\sqrt{6}$

c)

$9i\sqrt{6}$

d)

$30i$

5.

Simplify

$2\sqrt{-32}$

a)

$2i\sqrt{32}$

b)

$4i\sqrt{2}$

c)

$8i\sqrt{2}$

d)

- $-16i\sqrt{2}$

6.

Which represents the simplified form?

$\frac{15\ \pm\ \sqrt[]{72}}{9}$

a)

$\frac{15\ \pm\ 2\ \sqrt[]{6}}{9}$

b)

$\frac{5\ \pm\ \sqrt[]{2}}{3}$

c)

$\frac{5\ \pm\ 2\ \sqrt[]{2}}{3}$

d)

$\frac{5\ \pm\ \sqrt[]{8}}{3}$

7.

For the function below, what is the number and type of solutions?

y = x² + 4x + 4

a)

2 complex roots

b)

0 real roots

c)

1 real root

d)

2 real roots

8.

What is the discriminant of

6x² − 3 = 2x

a)

76

b)

29

c)

68

d)

none of these

9.

Kam is solving a quadratic equation by using the quadratic formula. He correctly set up the formula given below. What was the original equation?

$\frac{-\left(-9\right)\ \pm\ \sqrt[]{\left(-9\right)^2-4\left(2\right)\left(-5\right)}}{2\left(2\right)}$

a)

$y=9x^2-5x\ +2$

b)

$y=-9x^2+2x-5$

c)

$y=2x^2+9x-5$

d)

$y=2x^2-9x-5$

10.

Given the graph, determine which of the following characteristics is TRUE about the graph.

a)

The discriminant is positive; one of the roots is 3.

b)

The discriminant is positive; one of the solutions is -3.

c)

The discriminant is 0; the only root is -3.

d)

The discriminant is negative; there are no real roots.

11.

Solve using quadratic formula.

$3x^2-4x-12\ =\ 10$

a)

No solution.

b)

$\left\{\frac{-4\ +\ \sqrt[]{280}}{6},\ \frac{-4\ -\ \sqrt[]{280}}{6}\right\}$

c)

$\left\{\frac{2\ +\ \sqrt[]{70}}{3},\ \frac{2-\ \sqrt[]{70}}{3}\right\}$

d)

$\left\{\frac{2+\ \sqrt[]{14}}{3},\ \frac{2\ -\ \sqrt[]{14}}{3}\right\}$

12.

Solve 2x² - 5x + 10 = x²

a)

$\frac{5\pm i\sqrt{15}}{2}$

b)

$\frac{5\pm\sqrt{15}}{2}$

c)

$\frac{5\pm i\sqrt{65}}{2}$

d)

$\frac{5\pm\sqrt{65}}{2}$

13.

When converting the equation y = -2x² + 24x + 5 into vertex form $y=a\left(x-h\right)^2+k$ , what is the k value?

a)

12

b)

-12

c)

77

d)

5

14.

Which of the following is equivalent to f(x) = 3x²+ 6x - 5?

a)

f(x) = 3(x + 1)² - 8

b)

f(x) = 3(x - 1)² - 8

c)

f(x) = 3(x + 2)² - 8

d)

f(x) = 3(x - 2)² - 8

15.

(Fill in the blank) A translation moves all vertices of an image in the same direction __________ to the pre-image.

a)

perpendicular

b)

parallel

c)

circular

d)

diagonally

16.

Which transformation does NOT preserve rigid motion?

a)

a reflection over x-axis, then a translation 3 units right.

b)

a translation 4 units up, then a dilation by scale factor 2.

c)

a rotation 90^o cw, then a reflection across line y=x.

d)

a translation 2 units down, then a rotation 180^o.

17.

Identify the transformation from BCDE to B'C'D'E'.

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o CCW rotation

d)

180^o CW rotation

18.

Find the solutions to the system shown. Which is the smallest x-value in the solution set?

a)

0

b)

4

c)

3

d)

7

19.

Fireworks are fired from the roof of a 100-foot building. The equation $h\left(t\right)=-16t^2+84t+100$ models the height, h, of the fireworks at any given time, t. What is the max height of the fireworks?

a)

2.625

b)

6.25

c)

100

d)

210.25

20.

Which function below is a quadratic function that has been vertically stretched by 3, shifts right 7, and shifts up 9.

a)

$y=3\left(x-7\right)^2+9$

b)

$y=\frac{1}{3}\left(x-7\right)^2+9$

c)

$y=3\left(x+7\right)^2+9$

d)

$y=3\left(x+7\right)^2-9$

Unit 2B Mock Test

Total questions: 20

Worksheet time: 1hrs 18mins

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