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Alg 1A - 7.3 - Solving in Factored Form (ZPP)

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7.3 - Solving in Factored Form (ZPP)

Question 1
1.

Solve each equation. If needed, factor first.

(x-3)(x+5)=0

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 2
2.

Solve each equation. If needed, factor first.

x(x+6)=0

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 3
3.

Solve each equation. If needed, factor first.

0=(3x+2)(2x-5)

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 4
4.

Solve each equation. If needed, factor first.

0=x(x-7)(2x+1)

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 5
5.

Solve each equation. If needed, factor first.

4(x-2)(x+9)=0

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 6
6.

Solve each equation. If needed, factor first.

x^{2}+5x=0

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 7
7.

Solve each equation. If needed, factor first.

3x^{2}-9x=0

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 8
8.

Solve each equation. If needed, factor first.

x(x-3)+5(x-3)=0

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 9
9.

Solve each equation. If needed, factor first.

2x(3x+1)-7(3x+1)=0

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 10
10.

Solve each equation. If needed, factor first.

4n^{2}=20n

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 11
11.

Solve each equation. If needed, factor first.

30n^{2}=-15n

The format of your answer should be x=# x=# (a single space should separate your two answers)

Question 12
12.

Find the x-intercepts for the graph.



The format of your answer should be (x,y) (x,y) (a single space should separate your two answers)

Question 13
13.

What are the y-coordinates for both of the x-intercepts?

Question 14
14.

The equation for the graph is y=(x-3)(x-5).

How can you find the x-intercepts if you are given the equation?

Question 15
15.

Prove it! What are the x-interecepts y=(x+2)(x-7)?

The format of your answer should be (x,y) (x,y) (a single space should separate your two answers)

Question 16
16.

A tunnel can be modeled by the equation y= -19(x+18)(x-18), where x and y are the width and height (respectively), measured in feet. Find the width of the tunnel. Use the diagram provided to help you with this problem.

Question 17
17.

Simplify.

(5x-6x^{3}+1)-(3x^{3}+5x-8)

Question 18
18.

What is the leading coefficient of your answer from #18.

Question 19
19.

Classify your answer from #18 by degree and number of terms.

Question 20
20.

Find the perimeter of a rectangle with length x^{2}-3x+10 feet and width 2x+5 feet.

Question 21
21.

Find the area of a rectangle with length x^{2}-3x+10 feet and width 2x+5 feet.