## MAT 120 WEEK 3 QUIZ

```MAT 120 WEEK 3 QUIZ
1	Fill in the blank so the result is a perfect square trinomial Then factor into a binomial square.
x2 + 5x + _____
a.
b.    25; (x + 5)2
c.
d.
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.
LO3A:Solve quadratic equations by factoring, by square root property, completing the square, or by quadratic formula.

2.	When a stone is dropped into a deep well, the number of seconds until the sound of a splash is heard is given by the formula,

where x is the depth of the well in feet. For one particular well, the splash is heard 17 seconds after the stone is released. How deep (to the nearest foot) is the well?
a.    761 ft
b.    1,339 ft
c.    3,140 ft
d.    4,463 ft
Hint:Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.

3.	Solve by factoring. 3x2 = -18x
a.    0, -6
b.    0, 6
c.    6, -6
d.    2, 6
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.
LO3A:Solve quadratic equations by factoring, by square root property, completing the square, or by quadratic formula.

4.	Solve. 9x2 = -5x
a.   -
b.   -
c.   -
d.   -
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.
LO3A:Solve quadratic equations by factoring, by square root property, completing the square, or by quadratic formula.

5.	Two trains travel at right angles to each other after leaving the same train station at the same time. One hour later they are 100 miles apart. If one travels 20 miles per hour faster than the other, what is the rate of the faster train?
a.    60 mph
b.    70 mph
c.    80 mph
d.    90 mph
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.

6.	A speedboat takes 3 hours longer to go 60 miles up a river than to return. If the boat cruises at 15 miles per hour in still water, what is the rate of the current?
a.    3 mi/h
b.    4 mi/h
c.    5 mi/h
d.    6 mi/h
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.

7.	Solve by completing the square. x2 + 10x + 19 = 0
a.    Ã‚Â±31
b.
c.
d.   -5
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.
LO3A:Solve quadratic equations by factoring, by square root property, completing the square, or by quadratic formula.

8.	Solve by using the square root property. (x - 1)2 = 5
a.
b.   -1
c.
d.   -1 i
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.
LO3A:Solve quadratic equations by factoring, by square root property, completing the square, or by quadratic formula.

9.	The diagonal of a rectangle is 15 inches and the area is 50 square inches. Find the dimensions of the rectangle, correct to one decimal place.
a.    20.7 in. by 2.4 in.
b.    4.8 in. by 10.4 in.
c.    14.6 in. by 3.4 in.
d.    7.3 in. by 6.8 in.
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.

10.	Solve the equation. 6x-2/5 + 3x-1/5 - 1 = 0
a.
b.
c.
d.
Hint: Sections 1.5-1.6
SLO3:Solve quadratic equations by factoring, using the square root property, completing the square, or by quadratic formula.