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Grade 9 Mathematics
Page 1 of 14
FIRST TERM REVISION WORKSHEET
AY 2016 – 2017
GRADE- 9 MATHEMATICS
Name: ___________________________ Section: _____________
PART 1--ALGEBRA
Section A: Vocabulary
Sequence Algebraic Equation Y- Intercept
Solution Image Parallel Lines
1. The _______________________ of a graph is the y-coordinate of the point where
the graph intersects the y-axis.
2. A figure resulting from a transformation is known as __________________.
3. Lines in a plane that do not intersect is called ______________________.
4. The value that make a statement true is called _____________________.
5. . An equation that contains two or more variables is called ____________.
6. ________________ is a list of numbers in a specific order.
Section B: Mental Math
7. Which of the following is a coefficient in 8 7 ?x y+
A. 8x
B. 8
C. Y
8.Which of the following is a term in the expression 23 5 9?x x+ +
A. x
B. 5x
C. 9x
Grade 9 Mathematics
Page 2 of 14
9. What is the value of p in ( )+ =5 7 10.p
A. −5
B. 3
C. 5
10. The equation for finding the area of a rectangle is = l .A w What is the equation
solved for w?
A. = lw A
B. =l
wA
C. =l
Aw
11.Write the solution of the compound inequality graphed below.
A. -4 > x > 2
B. -4 < x < 2
C. -4 < x ≤ 2
12.Is each of the following a function?
A ( ) ( ) ( ) ( )2, 1 , 4, 3 , 6, 5 , 8, 7
Yes No
B ( ) ( ) ( ) ( )2, 1 , 4, 3 , 6, 5 , 2, 7
Yes No
13.Which of the following equations describes a line with an x-intercept of 3?
A. x + y = −3
B. x − y = −3
C. x = 3
Show your work:
Grade 9 Mathematics
Page 3 of 14
14. What is the y-intercept of 6 12 60?x y+ =
A. 5
B. 10
C. 60
15.Dante is buying 5 presents at a cost of p each for his relatives. If Dante cannot
spend more than $45, which inequality best represents this situation?
A ≤5 45p
B ≤ 455
p
C ≥5 45p
Section C: Math Drill
16. Write an equation for each description.
A. twice a number is 16. Ans:____________________
B. 7 times the sum of two third of a number and 3 is 9.
Ans: ____________________
17. Christian works at a library and earns $16 per hour. On Wednesday, he worked t
hours at the library and his neighbor paid him $13 to walk her dog. Which expression
represents the total amount Christian earned on Wednesday?
A. +16 13t
B. −16 13t
C. +16 13t
18.Solve =5
tu for t.
Ans: ______________________
Show your work:
Grade 9 Mathematics
Page 4 of 14
19 .Lia gets paid $45 an hour plus $150 each week. She hopes to earn at least $690
this week.
a. Write an inequality to represent the situation.
_______________________
b. How many hours does Lia need to work this week?
_______________________
20.Solve the inequality ( )− ≥ −2 3 4 9 10.x x
21.Find the domain and range of the relation represented on the mapping diagram.
Domain = ___________________ Range = ___________________
22. Express following relation as a mapping diagram and express whether or not the
relation represents a function.
(1, 11), (2, 11), (3, 13), (4, 15), (5, 17)
Show Your Work:
x y
Grade 9 Mathematics
Page 5 of 14
Section D: Critical Thinking & Problem Solving
23.The graph of ( ) 2 4 1f x x x= − + − is below.
Find the value of ( )f x when 0.x =
__________________________
24.Kim burns 85 calories per hour hiking. How many calories will Kim burn in
h hours? Identify the independent and dependent variables of this situation.
Independent variable : ___________________________
Dependent Variable : ______________________________
Function : ___________________________
25 A. Complete the table. B. Graph 2 3.y x= −
x 2 3y x= − (x, y)
−3 ( )2
3 3y = − −
−2
0
2
3
26.The first term of a sequence with the recursive rule ( ) ( )2 1 2f n f n= − + is 4.
Choose True or False.
a. The second term is 6.
True False
b.The third term is 22.
True False
c. The fourth term is 46.
True False
Work Area:
Grade 9 Mathematics
Page 6 of 14
27. Is the relation represented on the graph below a function? Explain your answer.
______________________________
______________________________
______________________________
______________________________
______________________________
______________________________
______________________________
28.Is each of the functions a linear function?
A. y = 4x - 7 Yes No
B. y = 6x2 - 1 Yes No
C. y = 1
2x + 10 Yes No
D. y = -7 Yes No
29.What are the x- and y-intercepts of the line graphed below?
________________________________
________________________________
30.Write an equation for the line in standard form.
________________________________
________________________________
Grade 9 Mathematics
Page 7 of 14
31.Each pound of potatoes costs $1.20. The total cost, in dollars, is given by the
function C(p) = 1.2p. Find f( 10 ).
Pounds 1 2 3 4
Cost in dollars
Common difference: ___________________________
f ( 10 ) = _____________________________
32. Graph the line. 1
32
y x= −
33.Use intercepts to graph the line. 3x + 2y = -6
X-Intercept = _____ The Point is ( )
Y-Intercept = _____ The Point is ( )
X Y
Grade 9 Mathematics
Page 8 of 14
PART 2 ---GEOMETRY
Section A: Vocabulary
Angle Bisector Collinear Coordinate Plane
Reflex Angle Discrete graph Congruent Figures
1 .A plane formed by the X & Y -coordinates is called __________________.
2. A graph made up of unconnected points is called ____________________.
3. Points that lie on the same line are _______________
4. An Angle whose measure is between 180° & 360° is called _______________.
5. Figures with Same size & Shape is known as ___________________.
6. An ___________________ is a ray that divides an angle into two angles that
both have the same measure.
Section B: Mental Math 7.Indicate whether each of the following names the angle correctly.
A. B∠ Yes No
B. BNT∠ Yes No
C. TBN∠ Yes No
8.The supplementary angle of 15° is
B. 65°
C. 165°
D. 75°
Grade 9 Mathematics
Page 9 of 14
9.Name the indicated geometric figures for the figure shown. Be sure to use correct
notation.
A.Name a point. _________
B.Name a ray through Y._________
C.Name a line through Z._________
D.Name a plane. _________
10.Write the formula for the following .
a. Midpoint of a line segment: Ans: _________________________
b. Distance between two points: Ans : _______________________
11.Use the figure
a. Name the obtuse angle.
__________________________
b. Name two acute angles.
__________________________
E. Section C: Math Drill
12.Use a straightedge and compass to construct an angle bisector for .Q∠
Show all work.
Grade 9 Mathematics
Page 10 of 14
Use the graph.
13.Determine the measure of each segment. Then
indicate whether the statements are True or False.
a. AB JK≅ True False
b. AB GH≅ True False
c. GH JK≅ True False
14.What is the midpoint of ?AB
__________________________
__________________________
__________________________
__________________________
__________________________
__________________________
15.Draw the image LKMV under the transformation (x, y) → (x + 3, 2y).
Show your work:
Grade 9 Mathematics
Page 11 of 14
16.This vector represents a transformation. Which verbal description describes this
transformation?
A. 2 units right, 5 units up
B. 3 units right, 6 units up
C. 5 units right, 2 units up
D. 6 units right, 3 units up
17.Triangle ABC is being reflected to create triangle A′B′C′.
What will be the coordinates of point B'?
A. (2, 2) C. (3, 6)
B. (2, 6) D. (6, 8)
18.Use the figure below to answer Problems a- e.
a. Triangle RST is translated along
vector νv
to create the image R'S'T'.
What are the coordinates of the
vertices of the image?
R'______________
S'______________
T'______________ b. If (x, y) is a point on V RST, what is the corresponding point on
V R'S'T'? ______________
c. Name vector νvusing component form. ____ ____,
d. Name a pair of parallel segments formed by vertices of the
preimage and the image. _________ and _________
Grade 9 Mathematics
Page 12 of 14
e. What is the length of vector What is the length of
____________________________________ units
Section D: Critical Thinking & Problem Solving 19.Draw the preimage and image of each triangle under a translation along ⟨−4, 1⟩.
triangle with Coordinates A ( 2, 4), B ( 1, 2), C ( 4, 2)
20.The table summarizes coordinate notation for reflections on a coordinate plane.
Reflect the figure with the given vertices across the given line.
S(3, 4), T(3, 1), U(−2, 1), V(−2, 4); x-axis
Grade 9 Mathematics
Page 13 of 14
21. Describe the type of symmetry for each figure. Draw the lines of symmetry, name
the angles of rotation, or both if the figure has both.
Figure TUVW
Types of symmetry: ________________
Number of lines of symmetry: _______________
Angles of rotation: _______________________
22.Graph the reflection of the quadrilateral EFGH in the line y = x.
Also Draw the line of reflection.
23 .Fill in the missing statements or reasons for the proof.
Given: Triangle MYZ ≅ Triangle MQP
Prove: M is the midpoint of YQ.
Statements Reasons
1. ▲MYZ = ▲MQP 1. a. _________________
2. b.
______________
2. Corresponding parts of
congruent triangles are
congruent.
3. M is the midpoint of
YQ. 3. c. _________________
Given.
Grade 9 Mathematics
Page 14 of 14
Use the figures below.
Quadrilateral ABCD ≅ WXYZ
24.What is the length of ?YZ
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
25. What is the m ?B∠
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
26. What is the m ?x∠
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________