Algebra Homework

Question 1: (1 point)

Question 2: (1 point)

Simplify.

(6a4+(4a+6)−a2)−(7a−(7a3−6a2+5a)−4(a+6))

Enter the expression in simplest form.

(6a4+(4a+6)−a2)−(7a−(7a3−6a2+5a)−4(a+6)) =

Question 3: (1 point)

Simplify.

(7x2−7)(2x2+6)

Enter the expression in simplest form.

(7x2−7)(2x2+6) =

Question 4: (1 point)

Simplify.

(8z2+3zp−8p2)2

Enter the expression in simplest form.

(8z2+3zp−8p2)2=

Question 5: (1 point)

Simplify.

(11−−√q−4R3)3

Question 6: (1 point)

Factor completely.

6x3(y+6)−12x2(−6−y)−4x(y+6)

Enter the factors. Enter the original expression if it cannot be factored.

6x3(y+6)−12x2(−6−y)−4x(y+6) =

Question 7: (1 point)

Factor completely .

4y3+3y2−8y−6

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

4y3+3y2−8y−6 =

Question 8: (1 point)

Factor completely.

x2+x−30

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

x2+x−30 =

Question 9: (1 point)

Factor completely.

3t4+10t2x−8x2

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

3t4+10t2x−8x2 =

Question 10: (1 point)

Factor completely.

36y2+21y−30

Enter the factors. Enter the original expression if it cannot be factored.

36y2+21y−30 =

Question 11: (1 point)

Factor completely.

16t2−40t+25

Enter the factors. Enter the original expression if it cannot be factored.

16t2−40t+25 =

Question 12: (1 point)

Factor completely.

9s2+24st+16t2

Enter the factors. Enter the original expression if it cannot be factored.

9s2+24st+16t2 =

Question 13: (1 point)

Factor completely.

9q4−16r2

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

9q4−16r2 =

Question 14: (1 point)

Factor completely.

9w10+16m2

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

9w10+16m2 =

Question 15: (1 point)

Factor completely.

27−64t3

Enter the factors. Enter the original expression if it cannot be factored.

27−64t3 =

Question 16: (1 point)

Factor completely.

343t3z6−27r3

Enter the factors. Enter the original expression if it cannot be factored.

343t3z6−27r3 =

Question 17: (1 point)

Solve.

x2=−7x−12

If there are multiple solutions, separate the answers with semicolons (;).

x=__________

Question 18: (1 point)

Solve.

9x2−31x=20

If there are multiple solutions, separate the answers with semicolons (;).

x=__________

Question 19: (1 point)

Find the discriminant and identify the best description of the equation's root(s).

3t2+11−−√t=7t2−3

Question 20: (1 point)

At a tennis club, a 12,825ft2 rectangular area is partitioned into three rectangular courts of equal size. A total of 730feet of fencing is used to enclose the three courts, including the interior sides.

What are the possible dimensions, in feet, of the entire rectangular area?

Select all that apply.

Question 21: (1 point)

A ladder of length 4x+3feet is positioned against a wall such that the bottom is x−3feet away from a wall. The distance between the floor and the top of the ladder is 4xfeet.

Find the length, in feet, of the ladder.

 Assume that a right angle is formed by the wall and the floor.

The length of the ladder is ____________feet.

Question 22: (1 point)

A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground tseconds after the rock leaves the edge is given by d=−16t2−6t+500.

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

How many seconds after the rock leaves the edge is it 458feet from the ground?

 ____________    seconds

How many seconds after the rock leaves the edge does it hit the ground?

 ____________   seconds