Grade 9 Mathematics

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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

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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:

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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

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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

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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:

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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.

________________________________

________________________________

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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

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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°

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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.

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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:

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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 _________

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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

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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.

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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∠

___________________________________________________________

___________________________________________________________

___________________________________________________________

___________________________________________________________

___________________________________________________________

___________________________________________________________