Which inequality is represented by the graph shown below?

A. y < √x + 1
Incorrect. The curve should be dotted, not solid.

B. y > √x + 1
Incorrect. The shading is BELOW the curve, so it cannot be >.

C. y ≤ √x + 1
Correct! The curve is solid and shaded below.

D. y ≥ √x + 1
Incorrect. The shading is BELOW the curve, so it cannot be >.

Which inequality is represented by the graph shown below?

A. y < √4 − 2x − 2
Incorrect. Since the graph is shaded above, it cannot be less than.

B. y ≤ √4 − 2x − 2
Incorrect. The curve is dotted so it cannot be equal to and the graph is shaded above so it cannot be less than.

C. y > √4 − 2x − 2
Correct! The curve is dotted and shaded above.

D. y ≥ √4 − 2x − 2
Incorrect. The curve is dotted so it cannot be equal.

Which table best represents solutions to the inequality ?

A

x

y

1

5

3

3

5

4

7

6
 

B

x

y

1

0

5

3

9

5

13

10
   

 

C

x

y

2

1

3

2

4

3

5

4
 

D

x

y

1

1

3

2

5

1

10

3

A
Correct! All of these ordered pairs make the inequality true.

B
Incorrect. Do all of these ordered pairs make the inequality true?

C
Incorrect. Do all of these ordered pairs make the inequality true?

D
Incorrect. Do all of these ordered pairs make the inequality true?

Solve √3x − 2 > 5 using the graph shown below.

A. x > 5
Incorrect. Remember that the inequality contains only x-values. You should look at the graph again.

B. x > 9
Correct! All x-values greater than 9 makes the inequality true.

C. 0 < x < 5
Incorrect. You should be looking at the part of the square root graph that lies above the line y = 5.

D. 0 < x < 9
Incorrect. This represents the part of the square root graph that lies below the line y = 5.

When an object is dropped from a height, h, the time, t, it takes for the object to reach the ground is given by where t is in seconds and h is in feet. To the nearest foot, what is the maximum height that an object can be dropped from to reach the ground within 5 seconds?

A. 25 feet
Incorrect. Did you make a table or draw a graph of the function?

B. 46 feet
Incorrect. Did you make a table or draw a graph of the function?

C. 122 feet
Correct! According to the function, dropping an object from 122 feet or less will cause it to hit the ground within 5 seconds.

D. 600 feet
Incorrect. Did you make a table or draw a graph of the function?