11. Which inequality does the graph represent?
A number line shows integers from negative 5 to 5. A solid dot is located at negative 1 and the line is darkened and bold from that point to the right. (1 point)
x ≤ –2
x < –1
x ≤ –1
x ≥ –1
x ≥ –1
12. Which inequality does the graph represent?
A number line shows integers from negative 5 to 5. A small open circle is located at 2 and the number line is darkened and bold from that point to the left. (1 point)
x > 2
x ≤ 2
x ≥ 2
x < 2
x < 2
13. Solve the inequality.
y + 5 greater than or equal to 7 (1 point)
yless than or equal to 2
yless than or equal to 12
ygreater than or equal to 2
ygreater than or equal to 12
y greater than or equal to 2
14. Write an inequality for the sentence. Then solve the inequality.
Thirteen less than a number is at most 9. (1 point)
x – 13 ≤ 9; x ≤ 22
x – 13 ≥ 9; x ≥ 22
x – 9 ≥ 13; x ≤ 22
x – 9 ≤ 13; x ≤ 22
x - 13 ≤ 9
x ≤ 22
15. The maximum weight allowed per car on The Twister carnival ride is 263 pounds. Your friend weighs 86 pounds. To be able to ride in a car together, how much can you weigh? Write and solve the inequality. (1 point)
x + 177 ≤ 263; at most 86 pounds
x – 86 ≤ 263; at most 177 pounds
x + 86 ≤ 263; at most 177 pounds
x + 86 ≤ 177; at most 263 pounds
x + 86 ≤ 263
x ≤ 177
You can weigh at most 177 pounds to ride in a car with your friend.
16. Complete the function table. Then write a rule for the function.
A two column table is shown. The first column is titled 'Input' and contains negative 3, negative 2, negative 1, 0, and 1 from top to bottom. The second column is titled 'Output' and contains an empty box, negative 4, an empty box, an empty box, and negative 1 from top to bottom.
Input | Output
-3 |
-2 | -4
-1 |
0 |
1 | -1
Rule: The output is equal to three times the input minus one in cases where the input is not negative two or zero. When the input is negative two, the output is negative four. When the input is zero, the output is negative one.
Output = {
3x - 1 ; x ≠ -2 and x ≠ 0
-4 ; x = -2
-1 ; x = 0
}
Write an inequality to represent the situation: The temperature stayed above –15°. (2 points)
T > -15°
The maximum weight allowed per car on The Slippery Snake carnival ride is 189 pounds. Your friend weighs 70 pounds. To be able to ride in a car together, how much can you weigh? Write and solve the inequality.
x + 70 ≤ 189
x ≤ 119
You can weigh at most 119 pounds to ride in a car with your friend.