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Chapter 3 Grade 8 Math Review



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Name the coordinates of point A in the graph.
mc001-1.jpg
a.
(3, –5)
b.
(–3, –5)
c.
(–5, 3)
d.
(–3, 5)
 

 2. 

Name the point with the coordinates (–3, 3).
mc002-1.jpg
a.
S
b.
K
c.
N
d.
D
 

 3. 

In which quadrant is the point (x, y) located if x is positive and y is positive?
a.
IV
b.
I
c.
III
d.
II
 

 4. 

What are the coordinates of the point 4 to the left and 5 above the point (1, 0)?
a.
(5, –5)
b.
(5, 5)
c.
(–3, 5)
d.
(5, –3)
 

 5. 

Determine which ordered pair is a solution of mc005-1.jpg.
a.
(9, –2)
b.
(–5, 18)
c.
(1, –6)
d.
(–4, –9)
 

 6. 

Determine which ordered pair is NOT a solution of mc006-1.jpg.
a.
(3, –9)
b.
(–4, –3)
c.
(–7, 0)
d.
(4, –11)
 
 
Graph the linear equation.
 

 7. 

y = mc007-1.jpg
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 

y = mc008-1.jpgmc008-2.jpg
a.
mc008-3.jpg
c.
mc008-5.jpg
b.
mc008-4.jpg
d.
mc008-6.jpg
 
 
Find the slope of the line.
 

 9. 

mc009-1.jpg
a.
mc009-2.jpg
b.
mc009-3.jpg
c.
mc009-4.jpg
d.
mc009-5.jpg
 

 10. 

Find the slope of the line. State whether the slope is zero or undefined.
mc010-1.jpg
a.
mc010-2.jpg; undefined
b.
mc010-3.jpg; zero
c.
mc010-4.jpg; zero
d.
mc010-5.jpg; undefined
 

 11. 

The data in the table are linear. Use the table to find the slope.
x
2
4
6
8
y
1
–2
–5
–8
a.
mc011-1.jpg
b.
mc011-2.jpg
c.
mc011-3.jpg
d.
mc011-4.jpg
 

 12. 

Identify the slope and y-intercept of y = mc012-1.jpgxmc012-2.jpg.
a.
mc012-3.jpg; 7
b.
mc012-4.jpg; 7
c.
mc012-5.jpg; –7
d.
mc012-6.jpg; –7
 

 13. 

Graph y = mc013-1.jpgxmc013-2.jpg using the slope and y-intercept.
a.
mc013-3.jpg
c.
mc013-5.jpg
b.
mc013-4.jpg
d.
mc013-6.jpg
 

 14. 

Write an equation for the line.
mc014-1.jpg
a.
y = xmc014-2.jpg
b.
y = mc014-3.jpgxmc014-4.jpg
c.
y = xmc014-5.jpg
d.
y = mc014-6.jpgxmc014-7.jpg
 

 15. 

Write an equation for a line with a slope of mc015-1.jpg and a y-intercept of 3.
a.
y = mc015-2.jpgxmc015-3.jpg
b.
y = mc015-4.jpgxmc015-5.jpg
c.
y =mc015-6.jpgmc015-7.jpgxmc015-8.jpg
d.
x = mc015-9.jpgymc015-10.jpg
 

 16. 

Graph C(2, –1). Translate the point right 2 units and up 4 units. Graph the image point mc016-1.jpg.
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 

 17. 

Translate P(1, –2) right 2 units and up 1 unit. Give the coordinate of the image point.
a.
(3, –1)
b.
(–1, 3)
c.
(–3, –1)
d.
(–1, –3)
 

 18. 

Rectangle ABCD has vertices A(–4, –3), B(–4, –2), C(–1, –2), and D(–1, –3). Graph ABCD and its translation 5 units to the right and 3 units up.
a.
mc018-1.jpg
c.
mc018-3.jpg
b.
mc018-2.jpg
d.
mc018-4.jpg
 

 19. 

Use arrow notation to write a rule that describes the translation of a point from (–4, –2) to (–1, –1).
a.
mc019-1.jpg
c.
mc019-3.jpg
b.
mc019-2.jpg
d.
mc019-4.jpg
 

 20. 

mc020-1.jpg has vertices P(1, –2), Q(7, –3), and R(–3, –8). The triangle is translated left 6 units and down 3 units. Without graphing, find the coordinates of mc020-2.jpg, mc020-3.jpg, and mc020-4.jpg.
a.
mc020-5.jpg(–5, 1), mc020-6.jpg(1, 0), mc020-7.jpg(–9, –5)
c.
mc020-11.jpg(–5, –5), mc020-12.jpg(1, –6), mc020-13.jpg(–9, –11)
b.
mc020-8.jpg(7, –5), mc020-9.jpg(13, –6), mc020-10.jpg(3, –11)
d.
mc020-14.jpg(7, 1), mc020-15.jpg(13, 0), mc020-16.jpg(3, –5)
 

 21. 

Use arrow notation to write a rule that describes the translation shown on the graph.
mc021-1.jpg
a.
mc021-2.jpg
c.
mc021-4.jpg
b.
mc021-3.jpg
d.
mc021-5.jpg
 

 22. 

Point A(8, –4) is reflected over the x-axis. Write the coordinates of mc022-1.jpg.
a.
(–8, 4)
b.
(–8, –4)
c.
(8, –4)
d.
(8, 4)
 

 23. 

mc023-1.jpg has vertices A(0, 2), B(4, 3), and C(2, 6). Graph mc023-2.jpg and its image after a reflection over the line through (–3, –2) and (–3, 2). Name the coordinates of the vertices of the reflected triangle.
a.
mc023-3.jpg
mc023-4.jpg(–6, 2), mc023-5.jpg(–10, 3), mc023-6.jpg(–8, 6)
b.
mc023-7.jpg
mc023-8.jpg(–4, 2), mc023-9.jpg(–8, 3), mc023-10.jpg(–6, 6)
c.
mc023-11.jpg
mc023-12.jpg(–2, 0), mc023-13.jpg(–3, –4), mc023-14.jpg(–6, –2)
d.
mc023-15.jpg
mc023-16.jpg(0, –6), mc023-17.jpg(4, –7), mc023-18.jpg(2, –10)
 

 24. 

Copy mc024-1.jpg. Draw the image of mc024-2.jpg after a rotation of 180º about the origin.
mc024-3.jpg
a.
mc024-4.jpg
c.
mc024-6.jpg
b.
mc024-5.jpg
d.
mc024-7.jpg
 
 
Determine whether the figure has rotational symmetry. If it does, find the angle of rotation. Write no rotational symmetry where applicable.
 

 25. 

mc025-1.jpg
a.
yes; mc025-2.jpg
c.
yes; mc025-4.jpg
b.
yes; mc025-3.jpg
d.
no rotational symmetry
 

Short Answer
 

 26. 

Copy sa026-1.jpg. Graph the image after the triangle is translated 3 units to the left and 2 units down.
sa026-2.jpg
 

 27. 

sa027-1.jpghas vertices A(–1, –2), B(–4, –4), and C(–3, –5). Graph sa027-2.jpg and its image after a reflection over the x-axis. Name the coordinates of the vertices of the reflected triangle.
 
 
Copy figure PQRS. Draw the image of figure PQRS after a rotation of the given number of degrees about the origin.
nar004-1.jpg
 

 28. 

sa028-1.jpg
 

 29. 

sa029-1.jpg
 

 30. 

sa030-1.jpg
 

Other
 

 31. 

Is rotating the point L(4, 4) ot031-1.jpg about the origin the same as reflecting the point over the x-axis? Explain.
 



 
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