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Mathematics Quiz

Total questions: 14

Worksheet time: 32mins

Name
Class
Date
1.

for f(x) = 2x2 + 8x - 3. Find the y-intercept​ ​ (a)   , the equation of the axis of symmetry​ ​ (b)   , and the x-coordinate of the vertex ​ (c)   . ​

Choose from the below words
(1,2)
-4/2(3)
-1
(0,-3)
-8/2(2)
-2
2.

Then graph the function ​for f(x) = 2x2 + 8x - 3 by making a table of values.​

3.

For which equation is the axis of symmetry x = 5?

a)

A. f(x) = x2 - 5x + 3

b)

B. f(x) = x2 - 10x + 7

c)

C. f(x) = x2 + 10x - 3

d)

D. f(x) = x2 + 5x + 2

4.

Determine whether f(x) = 5 - x2 + 2x has a maximum or a minimum value. Then find this maximum or minimum value and state the domain and range of the function.

4 lines
5.

Use a quadratic equation to find two real numbers that satisfy each situation, or show that no such numbers exist. Their sum is 15, and their product is 36.

4 lines
6.

Using the graph of the function f(x) = x2 + 6x - 7, what are the solutions to the equation x2 + 6x - 7 = 0?

a)

A. 1, 6

b)

B. 1, -6

c)

C. -1, 7

d)

D. 1, -7

7.

Simplify 81\sqrt[]{-81}

(a)  

8.

Simplify i37

(a)  

9.

Simplify (15 - 3i) - (4 - 12i)

4 lines
10.

Simplify 3 i2+5i\frac{3\ -i}{2+5i}

4 lines
11.

The impedance in one part of a series circuit is 3 + 4j ohms and the impedance in another part of the circuit is 6 - 7j ohms. Add these complex numbers to find the total impedance in the circuit.

*include ohms at the end of your answer*

4 lines
12.

Solve the equation by factoring. 3x2 + 7x + 2 = 0.

4 lines
13.

Solve this equation by factoring. x2 + 100 = 0.

  • (Remember to use ±\pm in your answer)

4 lines
14.

Solve each equation by factoring. 5x2 + 180 = 0.

(Remember to use ±\pm in your answer)

4 lines