Equations, Inequalities, absolute values, lines, planes, polygon, triangle, quadrilateral, circle.

1. MATHEMATICS 7
Selected Questions

2. MATHEMATICS 7
Solve -4x + 15 = -21
Answer: 9

3. MATHEMATICS 7
Find the value of n:
-7n + 12 =3n - 8
Answer: 2

4. MATHEMATICS 7
Which property of
inequalities is illustrated in
the following?
8 < 12, then 8/-4 > 12/-4
Answer: multiplication property

5. MATHEMATICS 7
Solve:
x/4 + (x-5)/2 = 3
Answer: 22/3

6. MATHEMATICS 7
What is the graph of the
inequality “ x is greater than
or equal to -2 but less than 2”
Answer:

7. MATHEMATICS 7
Solve |3x – 5| - 7 =10
Answer: { -4, 22/3 }

8. MATHEMATICS 7
Find the value of x:
1.5x – 3 = 10.5
Answer: 9

9. MATHEMATICS 7
Solve: 3n -10 > -4
Answer: { n/n > 2 }

10. MATHEMATICS 7
What is the solution set of 3n
– 10 > -4?
Answer:

11. MATHEMATICS 7
Solve:
2x/3 + (x-5)/6 = x/4 + 1
Answer: 22/7

12. MATHEMATICS 7
Find the solution set:
|(x-3)/4|≤ 1
Answer: { x / -1 ≤ x ≤ 7 }

13. MATHEMATICS 7
Solve:
| x | ≥ 4
Answer: { x/x ≤ -4 } U { x/x ≥ 4 }

14. MATHEMATICS 7
Consider the figure below.
Find 𝐵𝐴 ∪ 𝐵𝐷
Answer: 𝐴𝐷

15. MATHEMATICS 7
Consider the figure below.
Find 𝐵𝐶 ∪ 𝐵𝐷
Answer: 𝐵𝐷

16. MATHEMATICS 7
Find the solution set:
3|x+2|>12
Answer: { x/x < -6} U { x/x >2}

17. MATHEMATICS 7
It is a union of two non-
collinear rays with a common
endpoint.
Answer: angle

18. MATHEMATICS 7
It is a subset of a line that
has only one endpoint, and
extends endlessly in one
direction.
Answer: ray

19. MATHEMATICS 7
Solve
|2x + 7| + 4 = 1
Answer: { -2, -5 }

20. MATHEMATICS 7
Refer to the figure
below. Which are
corresponding
angles?
Answer: ∠1 𝑎𝑛𝑑 ∠5

21. MATHEMATICS 7
Refer to the figure
below. Which are
vertical angles?
Answer: ∠2 𝑎𝑛𝑑 ∠4

22. MATHEMATICS 7
These are lines that do not
lie on the same plane, are
not parallel, and do not
intersect.
Answer: skew lines

23. MATHEMATICS 7
a
Answer:

24. MATHEMATICS 7
∠𝐴 forms a linear pair with ∠𝐵
which measures 63o. What is the
measure of ∠𝐴?
Answer: 117o.

25. MATHEMATICS 7
It is a segment, ray, or line
that divides an angle into two
congruent angles.
Answer: angle bisector

26. MATHEMATICS 7
Which undefined term in
Geometry does the surface
of a chalkboard represent?
Answer: plane

27. MATHEMATICS 7
It is a closed figure formed
by the union of coplanar and
non-collinear segments.
Answer: polygon

28. MATHEMATICS 7
What is the measure of each
of the exterior angles of a
regular pentagon?
Answer: 72

29. MATHEMATICS 7
It is a triangle with no
congruent sides.
Answer: scalene

30. MATHEMATICS 7
Refer to the figure below.
Find angle AEC
Answer: 72

31. MATHEMATICS 7
What is the measure of the
hypotenuse of a right triangle
if the lengths of its two sides
are 12cm, and 5cm.?
Answer: 13cm

32. MATHEMATICS 7
What is the sum of the
measures of the interior
angles of a convex polygon
with 10 sides?
Answer: 1440o

33. MATHEMATICS 7
It is a line coplanar to the
circle and intersects the
circle at exactly one point.
Answer: tangent

34. MATHEMATICS 7
It is a quadrilateral with only
one pair of parallel sides.
Answer: trapezoid

35. MATHEMATICS 7
If OB measures 7cm
And 𝑚∠𝐵𝑂𝐶 = 1080,
Find 𝑚∠𝑂𝐵𝐶
Answer: 36o

36. MATHEMATICS 7
If OB measures 7cm
And 𝑚∠𝐵𝑂𝐶 = 1080,
Find 𝑚∠𝐴𝑂𝐷
Answer: 108o

37. MATHEMATICS 7
If OB measures 7cm
And 𝑚∠𝐵𝑂𝐶 = 1080,
Find 𝐵𝐷.
Answer: 14cm

38. MATHEMATICS 7
The measures of the three
angles of a convex
quadrilateral are 65, 112, and
97, what is the measure of
the fourth angle?
Answer: 86o

39. MATHEMATICS 7
The measure of the two
angles of a convex
quadrilateral are 82 and 116.
if the other angles are
congruent, what is the
measure of each angle?
Answer: 81

40. End
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