Alg I B STD Ch 8, 9 Mc Test Part I

1. Rewrite the expression using only positive exponents:
7A^-1 / B^-2

7B^2 / A

B^2 / 7A^1

7A^1 / B^2

7AB^2

2. Evaluate: 7⁴ / 7⁵

7^20

7

7^-1

7^9

3. Rewrite in decimal form:

4.39 x 10⁷

4,390,000,000

43,900,000

4.390000000

4,390,000

4. Solve for x

x² = 121

-11, +11

-60.5, +60.5

-242, +242

-12, +12

5. An object is dropped from a height of 's' feet. The objects height at any time 't', in seconds, is given by the model h = -16t² + 200. If a rock is dropped from a height of 200 feet, how long until it hits the ground?

12.5 seconds

.08 seconds

3.5 seconds

6.25 seconds

6. Find the vertex of the following quadratic equation:

y = 4x² - 16x - 5

(2, -21)

(-2, 43)

(0.5, -12)

(-0.5, 4)

There is no vertex. This is the only quadratic in the universe that does not have a vertex.

7. Does this quadratic open upwards, or does it open downwards?

y = -5x² + 8x -99

This quadratic opens up.

This quadratic opens down.

8. Does this quadratic open up or does it open down?

y = 99x² - 88x - 77

This quadratic opens up.

This quadratic opens down.

This quadratic opens to the left.

This quadratic opens to the right.

Quadratic? Whats a quadratic? Never heard of it.

9. How does the 'a' variable affect the parabola of y = ax² + bx + c?
Which statement is true?

If A is positive, the parabola opens upwards.

If A is negative, the parabola opens upwards.

If A is zero, the parabola opens to the side.

10. Which statement is false?

8 x -9 x 2 = -12 x 12

4 + 3 x 6 = 2 x 11

2 - 4 + 5 = 5 + 4 - 2

33 x 3 = 102 - 3

11. Which phrase does NOT complete the sentence:

"Every time you draw a graph...

... label the x- and y-axis."

... used a colored pencil."

... put some numbers on the axis."

12. Which statement is true?

There are two vertex on every parabola.

The axis of symmetry tells you where the quadratic crosses the x-axis.

An x-y-table only helps you to graph an equation sometimes.

The vertex is the highest or lowest point of a parabola.

13. The formula for the path of a projectile is h = -4.9t2 + vt + s, where h is the height in meters, t is the time in seconds, and v is the initial velocity in meters per second, and s is the initial (starting) height. A rocket is fired from a height of 1.3 meters at an initial velocity of 45 meters per second. How long until the rocket hits the ground again?

About 3 seconds.

About 7 seconds.

About 9 seconds.

About 13 seconds.

14. Identify the statement that is false.

The discriminant is b^2 -4ac

The vertex formula is -2a / b

Every x-intercept has a y-coordinate of zero.

The origin is where the x-axis and the y-axis meet.

15. Most difficult math problems can be reduced to small, simple math problems. Then, solving the simple math problems becomes easier than trying to understand or solve the big problem.

True

False

16. The model h = -16t² + vt + s can be used to find the height of an object that is thrown. 'h' represents the height of the object, 't' represents the time, 'v' represents the initial velocity, and 's' represents the initial height.

Choose the model that fits the following description: A cannonball is shot from a cannon with an initial velocity of 245 feet per second. The cannon sits 3 feet above the ground.

H = -16t^2 + vt + s

H = -16t^2 - 245t + 3

H = 16t^2 + 245t + 3

H = -16t^2 + 3t + 245

H = -16t^2 + 245t + 3

17. A population of bacteria live in a science lab. The population doubles every 15 minutes. At 3:00 there are 4 bacteria. How many bacteria will there be at 4:15?

128

64

20

132

256

18. In the land of Mathlandia, there are Mendis, Hagans, and Gorokans. All Mendis are also Hagans, and no Hagans are Gorokans. Can a Mendis be a Gorokans?

Yes

No

Maybe

19. There are 25 questions on this test. All questions are worth the same point value. If you got 22 right, what percent would you get on this test.

97%

80%

88%

90%

20. Rewrite using only positive exponents:

5ab⁴c^-2

5 a b^4 c^2

5 a b^4 / c^2

5^4 a^4 b^4 / c^2

1 / 5ab^4 c^2

21. 5.3 x 10⁵ is written as 5.3 x 10^5

Write the following in scientific notation:
7,090,000

7.9 x 10^6

7.09 x 10^4

7.0 x 10^6

7.09 x 10^6

22. Rewrite in decimal form: 2.13 x 10^-5

-213,000

0.0000213

-0.0000213

0.00000213

23. Solve the equation for x:

7x² - 4 = 100

+ / - means plus/minus

+ / - 18.25

+ / - 13.71

+ / - 3.70

+ / - 3.85

24. If an object is dropped from a height of 70 feet, the function h = -16t² + 70 gives' the height of the object after 't' seconds. How long does it take for an object to hit the ground? (when it hits the ground, d is equal to zero)

4.3 seconds

4.4 seconds

2.9 seconds

2.1 seconds

25. Solve by using the quadratic formula:

y = 4x² + 16x + 11

-.88 and -3.11

-.89 and -3.12

.88 and 3.11

2.24 and 5.45

Alg I B STD Ch 8, 9 Mc Test Part I

1. Rewrite the expression using only positive exponents:7A-1 / B-2

2.

What first name or nickname would you like us to use?

2. Evaluate: 74 / 75

3. Rewrite in decimal form: 4.39 x 107

4. Solve for xx2 = 121

5. An object is dropped from a height of 's' feet. The objects height at any time 't', in seconds, is given by the model h = -16t2 + 200. If a rock is dropped from a height of 200 feet, how long until it hits the ground?

6. Find the vertex of the following quadratic equation: y = 4x2 - 16x - 5

7. Does this quadratic open upwards, or does it open downwards?y = -5x2 + 8x -99

8. Does this quadratic open up or does it open down?y = 99x2 - 88x - 77

9. How does the 'a' variable affect the parabola of y = ax2 + bx + c?Which statement is true?