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Unit 1 Review

Last updated about 5 years ago

20 questions

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Question 1

1.

Expand the following expression:

Question 2

2.

Factor the GCF out of the following quadratic and solve for the roots. Write your answer as the ordered pairs of the two roots. For example if your roots are 1 and 3 you would write (1,0)(3,0). No spaces

Question 3

3.

Factor the following trinomial and solve for the roots. Write your answer as the ordered pairs of the two roots. For example if your roots are 1 and 3 you would write (1,0)(3,0). No spaces

Question 4

4.

Factor the following trinomial and solve for the roots. Write your answer as the ordered pairs of the two roots. For example if your roots are 1 and 3 you would write (1,0)(3,0). No spaces

Question 5

5.

Factor the following trinomial and solve for the roots. Write your answer as the ordered pairs of the two roots. For example if your roots are 1 and 3 you would write (1,0)(3,0). No spaces

Question 6

6.

Factor the following trinomial and solve for the roots. Write your answer as the ordered pairs of the two roots. For example if your roots are 1 and 3 you would write (1,0)(3,0). No spaces

Question 7

7.

Question 8

8.

Question 9

9.

Question 10

10.

Question 11

11.

Question 12

12.

Question 13

13.

Question 14

14.

Question 15

15.

Simplify the following radical. Show your work. Click on the keyboard icon to type in your answer.

Question 16

16.

Question 17

17.

Question 18

18.

Question 19

19.

Question 20

20.

Suppose a high school football team wants to earn money for new uniforms by selling tickets to the homecoming dance. They can calculate the income from ticket sales (I) based upon ticket price (p) using the equation:
The expenses (advertising, decorations, food, etc.) can be calculated using the equation:
Use the income and expense equations to write the equation that would represent the profit in this situation. Use the formula P = I - E
(Write your equation in standard form and start with P(p) = )

Is the equation in standard form?

No

Yes

Determine the discriminate then select the number of x-intercept/roots/solutions the quadratic will have

0 real solutions/2 imaginary solutions

1 real solution

2 real solutions

Determine the discriminate then select the number of x-intercept/roots/solutions the quadratic will have

0 real solutions/2 imaginary solutions

1 real solution

2 real solutions

Find the solution(s) of the following equation using the quadratic formula calculator.

x=-5/2, x=1

x= 1, x=5

x= -1, x= 5/2

x=5/2

Use the quadratic formula calculator to solve for the solutions:

What is the vertex of the following equation?

(-4,-6)

(4,6)

(-4,6)

(4,-6)

(5,-6)

Does the equation open up or down?

Down, because the a value is negative

Up, because the c value is positive

Down, because the c value is negative

Up, because the a value is positive

What is the axis of symmetry?

x=-4

x=4

x=6

x=5

x=-6

Simplify the radical.

Simplify:

Simplify:

Multiply:  Show your work!