TSIA Test Prep Luis Molina John Cox

Transcription

TSIA Test Prep Luis Molina John Cox
TSIA Test
Prep
Luis Molina
John Cox
SLIDE 1
Agenda
Part I: What to Expect
o Texas Success Initiative
o Tips for computer based testing
Part II: Test Section
o Math
SLIDE 2
Part I: What to Expect
SLIDE 3
Texas Success Initiative
o TSI tries to give you the best starting place.
o Goal is to place “at” not “out”
o Tests your knowledge of concepts you may have not
seen in a while.
o Mathematics section tests you for Algebra
o If the assessment sees fit, it may test further.
SLIDE 4
Tips for
Computer Based Testing
o Read it twice, slowly. Three readings are good for
word problems.
o First time, get a feel for the problem.
o Second reading, get a grasp on what is given and what you need
to solve for.
o Third, predetermine the steps needed to solve.
o Use your scratch paper. Bring plenty of it.
SLIDE 5
Tips for
Computer Based Testing
o Multiple-choice
o
o
o
o
o
o
Read the question carefully
Read all the answers
Be sure you answer the question asked
Check to see if your choice makes sense
If not, check to see that you went through every step.
Be sure answer is in the right units.
SLIDE 6
Part II: Test Section
SLIDE 7
Math Tools and
Concepts
o
o
o
o
o
o
o
o
o
o
o
o
o
Properties of Equality
Proportions
Factoring
Linear Equations
Quadratic Equations
Functions
Graphing
Statistics
Probability
Geometry
Area
Perimeter
Pythagorean Theorem
SLIDE 8
Solve the equation:
4x − 5 + 7 x + 1 = 6x + 7
a.
b.
c.
d.
1
5/4
-1
-5/4
Linear Equations
SLIDE 9
x2 + x
=
x
a. x
b. x + 1
c. x 2
d.
1
x
Simplifying Algebraic Expressions
SLIDE 10
The length of a square is
2x − y. Find the area of the
square.
a.
b.
c.
d.
4x 2 + 4xy + y 2
4x 2 − 4xy + y 2
4x 2 + 4xy − y 2
4x 2 − 4xy − y 2
Perfect Square Trinomial
SLIDE 11
Factor:
2x 2 + 5x − 12
a. 2x − 3 x + 4
b. 2x + 3 x − 4
c. 2x + 3 x + 4
d. (2x − 3)(x − 4)
Factoring a trinomial
SLIDE 12
Which one will be the same if we
drop a 5 from 5, 6, 7, 9, 9, 10
a.
b.
c.
d.
Mode
Median
Mean
Range
Statistical data
SLIDE 13
If
ax−b
a−1
A. b
B. 1
C. -b
D. a
Solving a rational expression
SLIDE 14
= b. Then x =
2r
3s
a.
b.
c.
d.
r
6
6s
r
6
r
rs
6
Exponents
SLIDE 15
9s
=
2
r
Which of the following is
x
true if g x =
?
x+1
a.
b.
c.
d.
g
g
g
g
0 =1
1 =0
10 < g 20
20 < g(10)
Evaluating a function and inequalities
SLIDE 16
Which one is not a factor
of x 3 + 6x 2 + 8x?
a.
b.
c.
d.
2
x+2
x
x+4
Factoring a polynomial
SLIDE 17
Evaluate the following expression:
1
pr − r when p = −7 and r =
2
a.
b.
c.
d.
4
-4
-7
7
Evaluating an algebraic expression
SLIDE 18
Which of the following is a point in
the xy-plane at which the graph of
y = x 2 − x − 30 crosses the x-axis?
a. 0, −5
b. 5,0
c. (−5,0)
d. 0, 5
Finding the x-intercept
SLIDE 19
4−2 =
a.
1
16
b.
1
−
16
c. 16
d. −16
Exponents
SLIDE 20
The ages of five friends are 24, 35,
32, 35 and 29. How many friends
are older than the average age?
a.
b.
c.
d.
1
2
3
4
Average
SLIDE 21
All of the following are
equalities except
a.
b.
c.
d.
x < −2
x − 2 < −4
x−2<4
2x < −4
Inequalities
SLIDE 22
Which of the following systems of
equations have no solution?
A. x − 2y = 2
x − 2y = 4
B. x + 2y = 7
x=y
C. x − y = 0
x+y=1
D. x − y = 1
x = 2y
SLIDE 23
System of linear equations
Solve the equation:
3x + 6
4x
−
=x
3
x−3
A. 1
B.
3
−
11
C. −3
D. −1
Rational Equations
SLIDE 24
The length of rectangle R is 4 more than
the width. If the width is w. What is the
perimeter R in terms of w?
A. 4w + 8
B. w 2 + 4w
C. 8w + 4
D. w + 4
Perimeter
SLIDE 25
Solve:
2
1
+ = 35
5x
A.
1
5
B. 5
C.
1
25
D. 7
Rational Expressions
SLIDE 26
x
The height of a box is 7 inches. Its length is 6
inches more than its width. Find the length if
the volume is 280.
A. 4 in.
B. 7 in.
C. 10 in.
D. 40 in.
Volume
SLIDE 27
Solve the equation:
4𝑥 2 + 8𝑥 + 1 = 0
A.
−2± 5
2
B.
−2± 3
2
C.
−2± 3
8
D.
−8± 3
2
Quadratic formula
SLIDE 28
Solve the equation by factoring
2x 2 + 11x + 12 = 0
A.
B.
C.
D.
2 1
,
3 4
3
,4
2
3
− , −4
2
2
{− , −4}
3
Factoring
SLIDE 29
Consider the following 12 data points: 10,
12, 10, 18, 16, 15, 9, 14, 11, 13, 12, and
16. What is the median of these data
points?
A. 9
B. 12
C. 12.5
D. 13
Median
SLIDE 30
Find the length of a rectangular
lot with a perimeter of 82 m if the
length is 5 m more than the width.
A. 18 m
B. 23 m
C. 41 m
D. 46 m
Perimeter
SLIDE 31
Solve: x + 3
A. 3 ± 5
B. −5 ± 3
C. −3 ± 5
D. 5 ± 3
Square root property
SLIDE 32
2
−5=0
A movie theatre charges $8.00 for adults and
$4.50 for children. One day the theatre sold
400 tickets and collected $2325 in receipts.
How many children tickets were sold?
A. 150
B. 250
C. 400
D. 100
System of linear equations
SLIDE 33
Thank you!
SLIDE 34