Think you’ve got your head wrapped around Equations and Inequalities? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Solve |4x + 2| = 10.
x = -3 or -2
x = -3 or 2
x = -2 or 3
x = 2 or 3
x = 2
Q. Solve |x – 1| = 44.
x = 45
x = -45 or -43
x = 43
x = -43 or 45
x = -45
Q. Solve |5x| = 25.
x = -5 or 5
x = 5
x = -25 or 25
x = -5
x = -125 or 125
Q. Solve |-2d – 3| = 13.
d = -8, 5
d = -8, -5
d = -5, 8
d = 5, 8
d = -12, -8
Q. Solve |-2 + 5x| = 18.
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_2.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_3.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_4.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_5.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_6.png)
Q. Solve |x – 4| > 1.
x < 5 or x > 3
x < 3 or x > 5
3 < x < 5
x < -5 or x > -3
There are no solutions
Q. Solve |y + 4| ≤ 8.
-4 ≤ y ≤ 4
-12 ≤ y ≤ 12
-12 ≤ y ≤ -4
-12 ≤ y ≤ 4
4 ≤ y ≤ 12
Q. Solve |8x + 14| ≥ -2.
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_7.png)
All real numbers
There are no solutions
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_8.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_9.png)
Q. Solve |3 + 4d| ≥ 19.
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_10.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_ch1_quiz_latek_11.png)
-2 ≤ d ≤ 4
2 ≤ d ≤ 4
-11 ≤ d ≤ 4
Q. Solve |m + 5| – 7 < -4.
-11 < m < -2
2 < m < 8
-2 < m < 8
-8 < m < 2
-8 < m < -2