Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 4A Review

Total questions: 10

Worksheet time: 35mins

Name
Class
Date
1.

Which best represents the function whose graph is shown?

a)

y = x2 + 4x + 7

b)

y = x2 + 2x – 4

c)

y = x2 – 4x + 7

d)

y = x2 – 2x – 4

2.

What are the solutions to the equation that is graphed?

a)

{ -3, -1, 3}

b)

{-3, -1}

c)

{ -3}

d)

{-1,3}

3.

Identify the y-intercept and the axis of symmetry for the graph of f(x) = –3x2 + 6x + 12.

a)

2; x = –12

b)

12; x = 1

c)

–2; x = 0

d)

–12; x = –1

4.

Determine whether f(x) = –5x2 – 10x + 6 has a maximum or a minimum value and find that value.

a)

minimum; –1

b)

maximum; –1

c)

minimum; 11

d)

maximum; 11

5.

Subtract two complex numbers below

(15 – 13i), (–1 + 17i)

a)

16 + 4i

b)

16 + 30i

c)

16 – 30i

d)

46

6.

Find the quotient of (1 + 2i) and (2 - 3i).

a)

87+17i\frac{8}{7}+\frac{1}{7}i

b)

87+i\frac{8}{7}+i

c)

−4+7i-4+7i

d)

−413+713i-\frac{4}{13}+\frac{7}{13}i

7.

Which quadratic equation has roots –2 and 3?

a)

x2 + x + 6 = 0

b)

x2 – x – 6 = 0

c)

x2 – 6x + 1 = 0

d)

x2 + x – 6 = 0

8.

Find the product of these two complex numbers below.

(5 + 2i), (1 + 3i)

a)

5 + 6i

b)

–1

c)

–1 + 17i

d)

11 + 17i

9.

ELECTRICITY The total impedance of a series circuit is the sum of the impedances of all parts of the circuit. A technician determined that the impedance of the first part of a particular circuit was 2 + 5j ohms. The impedance of the remaining part of the circuit was 3 – 2j ohms. What was the total impedance of the circuit?

a)

5 + 3j ohms

b)

5 + 7j ohms

c)

–1 + 7j ohms

d)

16 + 11j ohms

10.

Solve 18x2 + 15 = 39x by factoring.

Keep your answers as simplest fractions (No decimals).

(a)