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SBAC PRACTICE CC MATH 8 CH #1-4
Assessment ID: dna.23160
ib.318674
Directions: Answer the following question(s).
1
Rectangle ABCD is drawn on a coordinate
plane. Each angle measures 90°. The
rectangle is reflected across the y–axis,
translated 9 units down, and then rotated 180°
clockwise about the origin. What would be
the measure of angle B of the resulting
rectangle?
3
°
2
Samantha is studying the geometric design of
roads. She uses a surveying tool to measure
the angles at the intersections of the roads
near to her school, which are shown in the
picture below (NOT to scale). Samantha
noted that Smith Street is parallel to Abbey
Road.
John likes to experiment with geometric
figure transformations. He reflected Triangle
XYZ across the x–axis and then rotated it 90°
counterclockwise about the origin. If angle Y
measured 68° before the transformation, what
would be its measure after the
transformation?
°
4
Which of the following conjectures is true for
all cases about the lines in the image below?
A. If two lines are cut by a transversal such that the
corresponding angles, alternate interior angles
and alternate exterior angles are all congruent to
each other, then the lines must be parallel.
B. If two lines are cut by a transversal such that the
Which of the following statements are true
about the picture? Select three that apply.
A.
B.
C.
D.
E.
The value of x is 8.
The value of x is 21.
The measure of angle A is 42°.
The measure of angle B is 42°.
Angles A and B are same side interior angles.
corresponding angles are congruent, alternate
interior angles are congruent, and alternate
exterior angles are congruent then the lines
must be parallel.
C. If two lines are cut by a transversal such that the
corresponding angles are supplementary,
alternate interior angles are supplementary, and
alternate exterior angles are supplementary
then the lines must be parallel.
D. If two lines are cut by a transversal such that the
corresponding angles are congruent, alternate
interior angles are congruent, and alternate
exterior angles are congruent then the lines
must be perpendicular.
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Page 1
SBAC PRACTICE CC MATH 8 CH #1-4
Assessment ID: dna.23160
ib.318674
Directions: Answer the following question(s).
5
Use the angle relationship in the figure below
to solve for x. Assume that lines a and b are
parallel and the given angles are given in
degrees.
8
A.
B.
C.
D.
9
Two parallel lines are cut by a transversal.
Which statements are true for all such
cases? Select three that apply.
Each pair of vertical angles is congruent.
Each pair of corresponding angles is congruent.
Each pair of supplementary angles is congruent.
Each pair of alternate interior angles is
congruent.
Suppose a line segment with a length of 9 in.
that is located in Quadrant I of a coordinate
plane is reflected across the x–axis. Which of
these statements are correct about the
resulting figure? Select two that apply.
A. It will still be a line segment.
B. It will still have a length of 9 in.
C. It will still be located in Quadrant I.
x=
10
6
A.
B.
C.
D.
E.
Which of these equations has an infinite
number of solutions? Select two that apply.
A. If it is reflected across the line y = x, it will still
2x + x – 4 = –x – x – x + 2 – 6
x + 2x + 3 + 3 + 3 = 3(x + 3)
measure 78°.
B. If it is translated 22 units down, it will no longer
measure 78°.
4(x + 9) = 2(2x + 9) + (–18)
7x – 9 = 2x – 5x – 9
Which of these statements are correct about
an angle measuring 78° in a coordinate
plane? Select three that apply.
C. If it is rotated 180° about the origin, it will no
longer measure 78°.
6x =
( )
12
x
D. If it is reflected across the y–axis, it will no
longer measure 78°.
2
E. If it is translated 26 units to the left, will still
measure 78°.
7
A.
B.
C.
D.
E.
Which of these equations has a solution of x
= 2? Select three that apply.
F.
If it is rotated 90° about the origin, will still
measure 78°.
3(x + 4) = 16x – 14
5x – 11 = 6x – x – 11
4x + 9 = 2(2x + 9)
12x + 7 = –(2x – 3) + 16x
( )
1
x=4
2
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11
Which of these is a solution to the equation
2(x – 5) = 9 – 3x + 6 + 8 + 3x + 7? Select one
that applies.
A. x = 10
B. x = 20
C. x = 80
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Page 2
SBAC PRACTICE CC MATH 8 CH #1-4
Assessment ID: dna.23160
ib.318674
Directions: Answer the following question(s).
12
Mika used the proportion
y–3
1
=
x
when
3
deriving the equation of a line with similar
triangles. Which of these statements about
the line are correct? Select two that apply.
A.
The line has a slope of –
1
.
3
B.
The line has a slope of
1
14
.
A. that the angles must be complementary
B. that the angles must be supplementary
C. that each of the angles must measure 90°
3
Suppose a line graphed on a coordinate plane
represents the distance traveled in miles by
an automobile as a function of time in hours.
Assuming that the relationship between time
and distance traveled is proportional, which
of these statements is correct? Select one
that applies.
The line has a y–intercept of 3.
A. If the automobile was going 25 mph, the slope of
15
3
C. The line has a slope of 3.
D. The line has a y–intercept of –3.
E.
1
The line has a y–intercept of
F.
Gustavo noticed that when a pair of parallel
lines was cut by a transversal, a certain pair
of adjacent angles formed a straight line.
What can he conclude from this observation?
Select one that applies.
.
1
the line is –
13
.
25
Pierce used the proportion
y
=
x
7
when
2
deriving the equation of a line with similar
triangles. Which of these statements about
the line are correct? Select two that apply.
A. The slope of the line is 0.
B.
2
The slope of the line is
B. If the automobile was going 30 mph, the slope of
the line is
1
.
30
C. If the automobile was going 35 mph, the y–
intercept of the line is 35.
D. If the automobile was going 40 mph, the y–
.
7
1
intercept of the line is –
.
40
C.
The slope of the line is
7
.
E. If the automobile was going 45 mph, the y–
2
D. The y–intercept of the line is 0.
E.
2
The y–intercept of the line is
intercept of the line is
The y–intercept of the line is
7
.
45
.
F.
.
16
7
F.
1
2
If the automobile was going 50 mph, the slope of
the line is 50.
Enter the value for x that makes the equation
–3(x – 4) + x = 2x – 12 true.
x=
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SBAC PRACTICE CC MATH 8 CH #1-4
Assessment ID: dna.23160
ib.318674
Directions: Answer the following question(s).
17
Select all equations that have one solution.
21
A. 2x + 2x + 2 = 4x + 2
B. 3
Right triangle EFG and right triangle EHG
overlap as shown below. Angle HEG
measures 35° and angle FGE measures 30°.
(4x – 8) = 18
4
C. x + x – (x + x) = 2x – x + 2
D. 1
1
(x) = x +
2
2
E. –3(–x – 2) = 3(x – 2)
18
A.
B.
C.
D.
E.
19
A.
B.
C.
D.
E.
Select all equations that have no solution.
What are the values of x and y?
6 + 2x = 2(x + 6)
x=
3(3x – 4) = –9x + 11
y=
11x – (x + 5) = –2(–5x – 3)
3x – (x – x) = x + 4
3x – x + 12 – 6x = 4(5 – 2x) – (–4x)
22
Select all equations that have infinite
solutions.
2 – 2x = –2(x – 1)
2x + 7 = 2x – 7
The hypotenuse of right triangle ABC is AC,
and the hypotenuse of right triangle DEF is
DF. If points A, C, D, and F all lie on the same
line, which of these statements is true about
the two triangles?
A. They need not be similar, and they need not be
congruent.
B. They must be similar, but they need not be
5x + 4 = 5(x + 4)
congruent.
x – (x – x) = x
C. They must be congruent, but they need not be
similar.
5x = 4x + 1
D. They must be both similar and congruent.
20
A shipping company charges a $5 flat fee for
a package, plus a fee based on the weight of
the package. The company charges $1.50 per
pound, plus an additional $0.50 for every
pound over 5 pounds.
Jakob plans on sending a package that is
over 5 pounds. He has $30 to spend on
shipping. What is the maximum number of
pounds that his package could be? Enter
your answer as a decimal.
pounds
23
Why does the equation
7x + 13x – 5 – 15 = –10 – 10 + 14x + 6x have an
infinite number of solutions?
A. because if you add 20x to both sides of the
equation and simplify, you get –20 = –20
B. because if you add 20x to both sides of the
equation and simplify, you get –20 = 0
C. because if you subtract 20x from both sides of
the equation and simplify, you get –20 = –20
D. because if you subtract 20x from both sides of
the equation and simplify, you get –20 = 0
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SBAC PRACTICE CC MATH 8 CH #1-4
Assessment ID: dna.23160
ib.318674
Directions: Answer the following question(s).
24
Which of these is a correct statement?
A. The equation 3 – x + 4 = –x + 7 has no
solutions.
B. The equation x – 2 = 15x + 8 – 9x has one
solution.
C. The equation 4x + 5 + 8x = 25 + 2x has two
solutions.
D. The equation 9 + 3x – 1 = 10 + 3x has an infinite
number of solutions.
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