1819-00920 -V1
Level LS (Algebra Ch 4 Sec 4, 5,
Geometry Ch 4 Sec 7)
Sample Questions Exam
Calculator Allowed.
1. Solve x2 + 3x + 17 < 0.
2. Solve x2 + x + 2 > 0.
3. What is the sign of each of the following functions?
i) f (x) = 4x2 − 3x + 5
ii) f (x) = −3x2 − 2x − 8
4. Solve 25x2 – 30x + 9 < 0.
5. Solve the inequality x2 + 22x + 121 > 0.
6. Solve the inequality x2 – 10x + 25 ≥ 0.
7. Solve x2 + x + 2 < 0.
 x2 − 2 x − 3 < 0
8. Solve the system of inequalities  2
.
 x + 4 ≥ 0
( x − 7 )( x + 4 ) < 0
9. Solve the system of inequalities 
.
2
 x − 25 ≥ 0
 x2 − 2 x − 3 < 0
10. Solve the system of inequalities  2
.
 x − 25 ≥ 0
Page 1 of 4
1819-00920 -V1
Level LS (Algebra Ch 4 Sec 4, 5,
Geometry Ch 4 Sec 7)
 x2 − 2 x − 3 < 0
11. Solve the system of inequalities  2
.
 x + 4 < 0
12. Solve x −
6
≥1.
x−2
13. Express the set of all values of x such that x > 3 using interval notation.
14. Express the set of all values of x such that x ≤ 10 using interval notation.
15. Express the set of all values of x such that –1 < x < 1 using interval notation.
16. Express the set of all values of x such that 0 ≤ x ≤ 5 using interval notation.
17. Express the set of all values of x such that –5 < x ≤ 4 using interval notation.
18. Find the range of values of h(x) = 3x2 + 6x + 5.
19. Find the range of values of h(x) = –3x2 + 6x – 5.
20. Find the range of values of h(x) = x2 + 4x – 12.
21. Find the range of values of
4
+1.
3x + 6 x + 5
2
Page 2 of 4
1819-00920 -V1
Level LS (Algebra Ch 4 Sec 4, 5,
Geometry Ch 4 Sec 7)
22. Find the range of values of
5
+7.
x − 6x + 8
23. Find the range of values of
4
+7.
−3x + 6 x − 5
Page 3 of 4
2
2
24. The angle between the plane B ′BDD ′ and the plane CBB ′C ′ is _________________.
D′
C′
A′
B′
C
D
B
A
25. XYZ is an equilateral triangle O is the midpoint of XZ and WO is perpendicular to the plane XYZ.
W
Z
X
O
Y
The angle between the line WX and the plane XYZ is _________________.
26. a) The angle between the line XY ′ and the plane XYZW is _________________.
b)
The angle between the line XW ′ and the plane XYZW is _________________.
1819-00920 -V1
Level LS (Algebra Ch 4 Sec 4, 5,
Geometry Ch 4 Sec 7)
Y′
Page 4 of 4
Z′
W′
X′
Y
Z
X
W
27. ABC is an equilateral triangle, M is the midpoint of AB and DM is perpendicular to the plane ABC.
D
B
A
M
C
The angle between the plane ABC and the plane ABD is _________________.
28. A man in a desert walked 10 km on a bearing of 040° followed by 10 km on bearing of 130°, then the
distance from his starting point is: