Transcript CST Review - crunchy math

CST Summative Math Review
Algebra 1 Standards
• 18 questions – 28% of test
• Test includes questions from the
following categories:
– Number Properties, Operations, & Linear
Eqns
– Graphing & Systems of Linear Eqns
– Quadratics & Polynomials
– Functions & Rational Expressions
Algebra II Standards
• 23 questions – 35% of the test
• Categories include:
– Polynomials & Rational Expressions
– Quadratics, Conics & Complex Numbers
– Exponents & Logarithms
– Series, Combinatorics, & Probability &
Statistics
Geometry Standards
• 19 questions – 29% of the test
• Questions fall into the following categories
– Logic & geometric proofs
– Volume & area formulas
– Angle relationships, constructions, & lines
– trigonometry
Probability & Statistics Standards
• 5 questions – 8% of the test
• Test includes questions from the following:
– Probability of independent events
– Conditional probability
– Variance & standard deviation
1. Whatis thecompletesolution
to theequation 3  6 x  15?
A. x  2; x  3
B. x  2; x  3
C. x  2; x  3
D. x  2; x  3
2. Whatare t hepossible valuesof
x in 12  4 x  2 ?
A. x  2.50 or x  3.50
B.  3.50  x  -2.50
C. 3.5  x  2.5
D. x  2.50 or x  3.50
3. Which equation is
equivalent to
5x −2( 7 x +1) =14x?
A
B
C
D
−9x-2 =14x
−9x+1=14x
−9x+2 =14x
12x−1=14x
4. Which equation is
equivalent to
33 − 5x = 6− 3(1−3x)?
A
B
C
D
-7x = 30
7x = -30
7x = 15
-7x = -15
5. “Two lines in a plane
always intersect in exactly
one point.”
6. Which figure can serve
as a counterexample to the
conjecture below?
Which of the following best
describes a
counterexample to the
assertion above?
If one pair of opposite sides
of a quadrilateral is parallel,
then the quadrilateral is a
parallelogram.
A.Coplanar lines
B.Parallel lines
C.Perpendicular lines
D.Intersecting lines
A.Rectangle
B.Rhomus
C.Square
D.trapezoid
7. What is the
probability of tossing
a six-sided die twice
and getting a sum of
5?
A.
B.
C.
D.
1/18
2/9
1/9
1/36
8. What is the
probability of
drawing two yellow
marbles (without
replacement) from a
bag containing 3
green, 6 yellow, and
5 red marbles?
A.
B.
C.
D.
15/91
18/91
1/3
3/4
9. Which equation is
equivalent to
3[7x − 4 (x−3) ]+1=16 ?
A
B
C
D
9x−2=16
9x+37 =16
17x−2=16
17x+13 =16
10. The total cost (c) in
dollars of renting a
sailboat for n days is
given by the equation c
=120 +60n. If the total
cost was $360, for how
many days was the
sailboat rented?
A
B
C
D
2
4
6
8
11. Given: TRAP is an
isosceles trapezoid
with diagonals RP
and TA. Which of
the following must
be true?
A.
B.
C.
D.
RP ┴ TA
RP ║ TA
RP TA
RP bisects TA
12. Which triangles must
be similar?
A. Two obtuse triangles
B. Two scalene triangles
with congruent bases
C. Two right triangles
D. Two isosceles
triangles with
congruent vertex
angles
13. W hatis t hesolut ion o
t t he
syst emof equat ionsshown below ?
2 x  y  3 z  8

x  6 y  z  0
 6 x  3 y  9 z  24

A. 0,4,4
10 

B. 1,4, 
3

C. no solut ion
D. infinit elymanysolut ions
14. What is the
probability of
selecting a face card
or a 2 from a
standard deck of
playing cards?
15. If the probability of
an event happening
is P(E)=0.72, what is
the probability that
the event will not
happen?
A.
B.
C.
D.
A.
B.
C.
D.
3/13
12/13
11/13
4/13
0.72
0.14
0.28
1
16.
Whichpolynomialrepresents
2 x  7 2 x 4  21x 3  35x 2  37x  46
4
A. x  7 x  7 x  6 
2x  7
3
2
4
B. 2 x  14x  14x  12 
2x  7
4
3
2
C. x  7 x  7 x  6 
2x  7
4
3
2
D. x  7 x  7 x  6 
2x  7
3
2
17.
W hatis
20x-4
8 x 3

?
2
5
27 y
15y
32 y 3
A.
81x
32
B.
81xy 7
25y 3
C.
18x
25
D.
18xy7
18. In the accompanying diagram, parallel lines l and m
are cut by transversal t.
t
1
l
2
m
Which statement about angles 1 and 2 must be true?
A.
B.
C.
D.
1 and 2 are congruent
1 is the complement of 2
1 is the supplement of 2
1 and 2 are right angles
19. What values of a and b make quadrilateral MNOP a
parallelogram?
21
N
O
3a-2b
M
A. a  1, b  5
B. a  5, b  1
11
34
C. a  , b 
7
7
34
11
D. a  , b 
7
7
13
4a+b
P
20. Which point lies
on the line defined
by 3x+6y=2?
A
B
C
D
(0, 2)
(0, 6)
(1, -1/6)
(1, -1/3)
21. What is the
equation of the line
that has a slope of
4 and passes
through the
point(3, -10)?
A
B
C
D
y=4x-22
y=4x+22
y=4x-43
y=4x+43