Midterm Review WS II
Translate and Solve the following sentences.
1) Five less than twice a number is 25. What is the number?
2) Six more than a number tripled is 36. What is the number?
3) The length of a rectangle is three less than twice the width. If the perimeter of the rectangle is 24 cm,
what are the length and width of the rectangle?
4) The length of a rectangle is two less than six times the width. If the perimeter of the rectangle is 136 in,
what are the length and width of the rectangle?
Solve for x
5) 7 – 3x = 37
6)
7)
8) 5x – 6 = 2x + 24
9) –3x + 12 = – 4x + 15
10) 3(2x – 7) = 33
11) –2(5 – 4x) = 20
Solve the following Inequalities
12) 3x – 7 < 14 or 5 – 2x < – 25
13) – 8 < 4 – 2x < 16 14) 3x + 1 > 13 and 2x – 1 < 19
KEY
1) 2x – 5 = 25; x = 15
3) width = w, length = 2w – 3 Perimeter: 6w – 6 = 24
w = 5 cm l = 7 cm
4) width = w, length = 6w – 2 Perimeter: 14w – 4 = 136 w = 10 cm l = 58 cm
5) x = – 10
6) x = 14
7) x = – 6
8) x = 10
9) x = 3
10) x = 9
11) x =
12) x < 7 or x > 15
13) 6 > x > – 6
14) x > 4 and x < 10
2) 3x + 6 = 36; x = 10
Midterm Review WS II
Translate and Solve the following sentences.
1) Five less than twice a number is 25. What is the number?
2) Six more than a number tripled is 36. What is the number?
3) The length of a rectangle is three less than twice the width. If the perimeter of the rectangle is 24 cm,
what are the length and width of the rectangle?
4) The length of a rectangle is two less than six times the width. If the perimeter of the rectangle is 136 in,
what are the length and width of the rectangle?
Solve for x
5) 7 – 3x = 37
6)
7)
8) 5x – 6 = 2x + 24
9) –3x + 12 = – 4x + 15
10) 3(2x – 7) = 33
11) –2(5 – 4x) = 20
Solve the following Inequalities
12) 3x – 7 < 14 or 5 – 2x < – 25
13) – 8 < 4 – 2x < 16 14) 3x + 1 > 13 and 2x – 1 < 19
KEY
1) 2x – 5 = 25; x = 15
3) width = w, length = 2w – 3 Perimeter: 6w – 6 = 24
w = 5 cm l = 7 cm
4) width = w, length = 6w – 2 Perimeter: 14w – 4 = 136 w = 10 cm l = 58 cm
5) x = – 10
6) x = 14
7) x = – 6
8) x = 10
9) x = 3
10) x = 9
11) x =
12) x < 7 or x > 15
13) 6 > x > – 6
14) x > 4 and x < 10
2) 3x + 6 = 36; x = 10