Taking the Board Licensure Examination for Professional Teachers (BLEPT), formerly known as Licensure Examination for Teachers (LET)? Try our online reviewer to enhance your knowledge on Professional Education below.
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Direction:
Select the letter of the best answer.
1.
If a number is divided by 4, then 3 is subtracted, the result is 0. What is the
number?
a.
12
b.
4
c.
3
d.
2
Answer:
a. 12
2.
If x2 - x - 6 = 0, then x is
a.
-2 or 3
b.
-1 or 6
c.
1 or -6
d.
2 or -3
Answer:
a. -2 or 3
3.
State which algebraic property of real numbers applies: 3 + 4 = 4 + 3
a.
Distributive Property
b.
Commutative Property of Addition
c.
Associative Property of Addition
d.
Additive Identity Property
Answer:
b. Commutative Property of Addition
4.
State which algebraic property of equality applies:
If 8 = (4)(2) and (4)(2) = (2)(4), then 8 =
(2)(4)
a.
Reflexive
b.
Symmetric
c.
Transitive
d.
Multiplication
Answer:
c. Transitive
5.
Which of the following is NOT an equation?
a.
4 + 6 = 5 x 2
b.
l = 3w
c.
2x + 3xy + 2
d.
3w + 4xy + 5 = 2w + 3
Answer:
c. 2x + 3xy + 2
6.
Find the coefficient of the following term: x/4
a.
x
b.
4
c.
x/4
d.
1/4
Answer:
d. 1/4
.
7.
16x - 8 =
a.
8x
b.
8(2x-x)
c.
8(2x-1)
d.
8(2x-8)
Answer:
c. 8(2x-1)
8.
Evaluate: 5x – 7y if x = 2 and y - 3
a.
-28
b.
31
c.
35
d.
-36
Answer:
b. 31
9.
Evaluate: if x= y-3, then (y-x)3 =
a.
-9
b.
9
c.
27
d.
3
Answer:
c. 27
10.
Which of the following is an example of a quadratic equation?
a.
x2 + 2x + 3 = 0
b.
2x + 3y – 5x + 4
c.
2x2 -3y + xy3
d.
2x + 3 = 0
Answer:
a. x2 + 2x + 3 = 0
11.
How many terms are there in the following expression: 7a + 2b + 3c -1
a.
2
b.
3
c.
4
d.
5
Answer:
c. 4
12.
Evaluate: 2x3 - x2 + y if x = 3 and y = 2
a.
38
b.
43
c.
59
d.
61
Answer:
d. 61
13.
The expression x(9 + x)(x – 2) = 4 is a polynomial of which degree?
a.
3
b.
4
c.
5
d.
6
Answer:
a. 3
14.
When graphed in the (x,y) coordinated plane, at what point do the lines -2x +
4y = 5 and y = -2 intersect?
a.
(13/2,2)
b.
(2,-2)
c.
(13/2,-2)
d.
(-13/2, -2)
Answer:
d. (-13/2,-2)
15.
Solve: 6 + 1 =
a.
-2
b.
2
c.
3
d.
7
Answer:
d. 7
16.
The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find
the numbers.
a.
15 and 3
b.
8 and 17
c.
16 and 5
d.
4 and 14
Answer:
b. 8 and 17
17.
Evaluate: x2 – x3y + 6 if x =2 and y = 9
a.
58
b.
62
c.
79
d.
83
Answer:
b. 62
18.
The difference between the two numbers is 48. The ratio of the two numbers is
7:3. What are the two numbers?
a.
84 and 36
b.
90 and 42
c.
72 and 24
d.
103 and 55
Answer:
a. 84 and 36
19.
The sum of three numbers is 14. The largest
is 4 times the smallest, while the sum of the smallest and twice the largest is
18. Find the numbers.
a.
2, 3, 9
b.
3, 4, 7
c.
1, 5, 8
d.
2, 4, 8
Answer:
d. 2, 4, 8
20.
If the product of a number and –7 is reduced by 3, the resulting number is 33
less than twice the opposite of that number. What is the number?
a.
4
b.
6
c.
8
d.
10
Answer:
c. 8
21.
The price of a pair of eyeglasses has increased by 15%. The original price of
the shoes was P2000. What is the new price?
a.
P2150
b.
P2200
c.
P2250
d.
P2300
Answer:
d. P2300
22.
A train and a car start at the same place. The train is going 40 miles per hour
and a car is going in the opposite direction at 60 miles per hour. How long
will it be until they are 100 miles apart?
a.
45 minutes
b.
60 minutes
c.
75 minutes
d.
90 minutes
Answer:
b. 60 minutes
23.
Erica must tutor at least 12 hour per week in order to be eligible for her
work-study program at her university. She must also study 10 more hours than
what’s she’s tutoring, so she can keep up her grades in the program. What is
the minimum number of hours Erica must study in order to be eligible for her
work-study program?
a.
≥22
b.
≥23
c.
≥24
d.
≥26
Answer:
a. ≥22
24.
The difference in the measures of two complementary angles is 12°. Find the
measure of the angles.
a.
20° and 32°
b.
28° and 40°
c.
39° and 51°
d.
41° and 53°
Answer:
c. 39° and 51°
25.
Mary wants to make a box. She starts with a piece of cardboard whose length is
15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares
with sides of 3 centimeters at the four corners and folded at the broken lines
to make the box. What is the volume of the box?
a.
108 cubic centimeters
b.
98 cubic meters
c.
110 cubic meter
d.
104 cubic meters
Answer:
a. 108 cubic meters
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