# allied mat120 module 3 check your understanding latest 2015

August 30, 2017

Question
Solve by completing the square. x2 + 10x + 19 = 0

a. ±31

b.

c.

d. -5

1

2. Solve by using the square root property. (x – 1)2 = 5

a.

b. -1

c.

d. -1i

3.

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

4. Solve.

a. 0, –

b. 0,

c. 0

d. No solution

5. Solve. 9×2 = –5x

a. –

b. –

c. –

d. –

1

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

1

7. Solve by completing the square. x2 – 6x – 2 = 0

a.

b. –

c.

d. –

1

8. Solve the equation. 6x-2/5 + 3x-1/5 – 1 = 0

a.

b.

c.

d.

0

9. 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

10. Solve by factoring. 3×2 = –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.

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