Solve the equation by factoring.

x² + 14x + 40 = 0

{ - 10 , - 4 }

{ - 20 , - 8 }

{ - 2 10 , 2 10 }

{ 4 , 10 }

2 Solve the equation by the zero-factor property.

2x² = - 27x - 81

{ 9 , 9 / 2 }

{ 9 , - 9 /2 }

{ _- 9 /2 , -9 }

{ - 9 , - 18 }

3 Solve the equation by factoring.

6 x ² + 23x + 21 = 0

{ 3 / 2 , 7 / 3 }

{ - 2 / 3 , - 3 / 7 }

{ 2 / 3 , 3 / 7 }

{ - 3 / 2 , - 7 / 3 }

4 Solve the equation by factoring.

4x² + 3x _- 7 = 0

{ 7 / 4 , _1 }

{ 4 /7 , 1 }

{ 4 / 7 , 0 }

{ 4 / 7 , - 1 }

5 Solve the equation by the square root property.

( x - 4 ) ² = 4

{0 }

{ - 2 , - 6 }

{ 6 }

{ 2 , 6 }

6 Solve the equation by the square root property.

( x + 7 )² = 5

{ - 7 + 5 }

{ - 7 = 5 }

{ 5 _ 7 }

{ 5 - 7 , - 5 + 7 }

Solve the problem.

The length of a rectangle is 6 inches more than its width. If 3 inches are taken from the length and added to the width, the figure becomes a square with an area of 361 square inches. What are the dimensions of the original figure?

Group of answer choices

19 in. by 19 in.

16 in. by 19 in.

16 in. by 22 in.

13 in. by 19 in.

Solve the problem.

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall.

Group of answer choices

8 ft

6 ft

12 ft

10 ft

Solve the problem.

A building needs a ramp to make it handicap accessible. By law, the ramp must run 10 inches horizontally for every 1 inch of rise. If the surface of the ramp is 78 inches long how far above the ground is the inclined end of the ramp? Round to the nearest tenth of an inch.

Group of answer choices

26.0 in.

5.0 in.

7.1 in.

7.8 in.

Flag question: Question 16

Question 16

1pts

Solve the problem.

A rock falls from a tower that is 464 feet high. As it is falling, its height is given by the formulah=46416t

2

h=46416t2. How many seconds (in tenths) will it take for the rock to hit the ground(h=0)

(h=0)?

Group of answer choices

5.4 sec

21.5 sec

13,456 sec

21.2 sec

Flag question: Question 17

Question 17

1pts

Solve the problem.

The position of an object moving in a straight line is given bys=2t

2

3t

s=2t23t, where s is in meters and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 20 meters?

Group of answer choices

4.0 sec

3.8 sec

74.0 sec

21.0 sec

Flag question: Question 18

Question 18

1pts

Solve the problem.

Your company uses the quadratic modely=11x

2

+350x

y=11x2+350xto represent how many units (y) of a new product will be sold (x) weeks after its release . How many units can you expect to sell in week 6?

Group of answer choices

1704 units

2166 units

2034 units

2496 units

Flag question: Question 19

Question 19

1pts

Solve the problem.

If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate r, compounded annually, then in two years that investment will grow to an amount A, given by the formulaA=P(1+r)

2

A=P(1+r)2. If a principal amount of $5000 grows to $6050.00 in two years, what is the interest rate?

Group of answer choices

11%

12%

8%

9%