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math quiz review 2

Total questions: 147

Worksheet time: 7hrs 40mins

Name
Class
Date
1.

Which of the following sets represent a finite set?

a)

X = {10, 20, 30, 40, 50 ...}

b)

Y = {The number of seconds in a decade}

c)

c. Z = {x : 4 < x < 7, x ∈ R}, Where R = Set of real number

d)

d. W = {x : x is the multiple of 3}

2.

A = {0, 1, 2, 3, 4 ...}

B = {1, 2, 3, 4, 5 ...}

C = {0, 2, 4, 6, 8 ...}

Which of the following is correct?

a)

a. B is the superset of A.

b)

b. B is the superset of C.

c)

c. B is the subset of A.

d)

d. B is the subset of C.

3.

15. A = {1, 3, 5, 7, 9, 10}

B = {4, 6, 7, 8, 9, 10, 12}

U = A ⋃ B

Which of the following is n(A’)?

a)

a. 4

b)

b. 5

c)

c. 7

d)

d. 10

4.

X = {a, e, i, o, u, w, y}

Y = {c, e, f, i, m, o, q, w, z}

Which of the following is Y − X?

a)

a. {e, i, o, w}

b)

b. {c, f, m, q, z}

c)

c. {a, u, y}

d)

d. {c, f, m, q, w, z}

5.

It is a set containing all the elements and other sets including itself.

a)

Well-defined Set

b)

Finite Set

c)

Universal Set

d)

Null Set

6.

Which is an example of an infinite set?

a)

D = {a, b, c, d, ...}

b)

F = {x|x is a fraction from 1 to 5}

c)

Z is a set of integers

d)

M = {x|x is an integer, -12<x<12}

7.

A is a set of letters in a word "MEAN".

B is a set of letters in a word "NAME".

A and B are ______sets.

a)

Equivalent

b)

Equal

8.

M = {x|x is a letter in a word "FACE"}

N = {x|x is a letter in a word "SAFE"}

M and N are _____ sets.

a)

Equivalent

b)

Equal

9.

G is a set of letters in a word "Freebie".

What is the cardinality of set G?

a)

4

b)

5

c)

6

d)

7

10.

H = {f, a, i, t, h}

Translate set H into a verbal descriptive form.

4 lines
11.

S is a set of whole numbers less than 20.

Translate set S into Roster or Listing Method.

4 lines
12.

Is { } a proper subset of every set?

a)

Yes

b)

No

13.

An Equivalent set has....

a)

The same elements as a finite set.

b)

Unequal elements.

c)

Equal elements in both sets.

d)

No element.

14.

What is a set?

a)

A set is a collection of well-defined objects/ elements usually of the same kind.

b)

A set is a collection of people usually the same kind.

c)

A set is a group of people.

d)

A set is a group of school.

15.

Determine the type of set.

The days of the week beginning with the letter "R".

a)

Finite

b)

Infinite

c)

Null

d)

Subsets

16.

Choose the two situations where negative numbers might be used.

a)

Temperatures

b)

Money

c)

Your height

d)

Days from now until Christmas

17.

On a whole number line, what number is three steps left of -1?

a)

3

b)

-3

c)

-4

d)

0

18.

On a whole number line, what number is between -2 and -4?

a)

-3

b)

3

c)

-5

d)

5

19.

Which is the largest number?

a)

-1

b)

-10

c)

-20

d)

-17

20.

What number is in the box?

a)

3

b)

-3

c)

-2

d)

0

21.

Arrange these numbers from smallest to largest.

-1, -3, 5, 0, 8, -6

a)

0, -1, -3, 5, -6, 8

b)

0, -3, -1, -6, 5, 8

c)

-6, -3, -1, 0, 5, 8

d)

-1, -3, -6, 0, 5, 8

22.

If the temperature was -120C, and then it rose by 140C, What is the new temperature?

a)

260C

b)

-260C

c)

-20C

d)

20C

23.

What does it mean to say "I have -₱4,000 in the bank"?

a)

I have ₱4,000 in the bank.

b)

I owe the bank ₱4,000.

c)

The bank owes me ₱4,000.

d)

I have deposited ₱4,000 in the bank.

24.

What is the opposite of -9?

a)

9

b)

19\frac{1}{9}

c)

0

d)

-9

25.

Find the Absolute Value of -18

a)

18

b)

-18

c)

36

d)

-36

26.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

27.

Compare: -3 and -5

a)

<

b)

>

c)

=

28.

Compare: -10 and 2

a)

>

b)

<

c)

=

29.

What is an absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

30.

Which word DOES NOT connote a negative number?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

31.
Find the perimeter of this triangle.
a)
18
b)
36
c)
22
d)
98
32.
Find the perimeter of this triangle.
a)
45
b)
39
c)
37
d)
78
33.
What is the perimeter of the square?
a)
24
b)
36
c)
12
d)
26
34.
What is the perimeter of the shape?
a)
24
b)
45
c)
44
d)
53
35.
What is the perimeter of the shape?
a)
10
b)
27
c)
25
d)
20
36.
What is the perimeter of the shape?
a)
25
b)
50
c)
150
d)
3
37.
What is the perimeter of this polygon?
a)
22 inches
b)
16 inches
c)
24 inches
d)
21 inches
38.
What is the perimeter?
a)
15
b)
10
c)
3
39.
What is the perimeter?
a)
4
b)
16
c)
8
40.
What unit is the biggest?
a)
inch
b)
foot 
c)
yard
41.
Which unit is the smallest?
a)
Meter
b)
Centimeter
42.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
43.
Classify the polynomial by its degree.
x2 + 2x3 - 4
a)
A
binomial
b)
B
trinomial
c)
C
quadratic
d)
D
cubic
44.
Classify the polynomial by its number of terms.
 4x² - 2
a)
A
monomial
b)
B
binomial
c)
C
trinomial
d)
D
polynomial
45.
What is the degree of the polynomial?
x3y- 7x2y + 3
a)
A
1
b)
B
3
c)
C
5
d)
D
7
46.
Which is an example of a cubic monomial?
a)
A
x³ + 5
b)
B
x² + 3
c)
C
x² + 5x - 6
d)
D
5x³
47.
What is the degree of this term?
-7x3y2z2
a)
A
3
b)
B
2
c)
C
12
d)
D
7
48.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
a)
A
1
b)
B
2
c)
C
4
d)
D
5
49.
Terms in a polynomial are separated by what?
a)
A
Parenthesis
b)
B
Multiplication/
Division 
c)
C
Constants
d)
D
Addition/
Subtractraction
50.
What is the degree classification of this polynomial?
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
51.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
52.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
53.
Which of these has a negative leading coefficient?
a)
x²+9x-4
b)
6x-9
c)
-8x+8
d)
9x
54.
What is the classification of the following polynomial?
x²-8x+10
a)
quadratic binomial
b)
cubic trinomial
c)
linear binomial
d)
quadratic trinomial
55.
Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)
a)
4x³-2x²+2
b)
4x³-6x²+4x+2
c)
-2x³+2x+2
d)
4x³-2x²-2
56.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
57.
What is the GCF in this polynomial?
3x²+6x-18
a)
2
b)
3
c)
6
d)
18
58.

What is the degree classification of this polynomial?

x2 + 4x -8

a)

binomial

b)

trinomial

c)

quadratic

d)

cubic

59.

What is the term classification of the following polynomial?

x3 - 7x2 +3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

60.

Which is an example of a linear polynomial?

a)

x2 - 5

b)

6x + 4

c)

5x5

d)

2x3 - 9x2

61.

Which is an example of a cubic binomial?

a)

x3 + 5

b)

x2 + 3

c)

x2 + 5x - 6

d)

5x3

62.

What is the constant of this polynomial? 2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

63.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
64.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

65.
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
66.
(x + 7)(x - 2)
a)
x2 - 5x + 5
b)
x2 - 9x - 14
c)
x2 - 5x - 14
d)
x2 + 5x - 14
67.
(x - 7)(x + 7)
a)
x2 + 7x - 49
b)
x2 - 7x + 49
c)
x2 - 49
d)
x2 + 49
68.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
69.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
70.

-5x6(3x2 - 12x + 30)

a)

-15x8 + 60x7 - 150x6

b)

15x8 - 60x7 - 150x6

c)

8x6 - 17x + 35

d)

-8x6 + 17x - 35x2

71.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
72.
(x+5)2
a)
x2+25
b)
x2-25
c)
x2+10x+25
d)
x2-10x+25
73.
Find the product:
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
74.
Find the product:
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
75.
Find the product:
(y - 3)(y + 7)
a)
y2 - 21
b)
y2 + 10x - 21
c)
y2 + 4y - 21
d)
2y - 10
76.
Simplify the expression.
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
77.
Simplify the expression.
-3x2( 7x- x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x+ 3x+ 12x2
d)
-12x+ 3x-21x4
78.

Solve the equation:

-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

79.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
80.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
81.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
82.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
83.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
84.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
85.
18+m=8
a)
m=0
b)
m=10
c)
m=-10
d)
m=8
86.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
87.
144=12z
a)
z=20
b)
z=11
c)
z=12
88.

3x - 5 = -26

a)

x=-21

b)

x=21

c)

x=-7

d)

x=61

89.
Solve for k:
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
90.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
91.
The goal of solving a two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
92.

The first step to solving the equation g - 3 = -12 is to . . .

a)

divide by -3 on both sides of the equal sign

b)

multiply by -3 on both sides of the equal sign

c)

subtract 3 on both sides of the equal sign

d)

add 3 on both sides of the equal sign

93.

Solve the equation 4n - 7 = -23

a)

n = -4

b)

n = 4

c)

n = 7.5

d)

n = -7.5

94.
Solve the following equation for x:
6x + 2 = 8x - 2
a)
x = -1
b)
x = 1
c)
x = 2
d)
x = 10/14
95.
Solve the following equation for x:
4(2x - 3) = 6x + 2
a)
x = 5/2
b)
x = 7
c)
x = 1
d)
no solution
96.
Solve.
x - 10 = -6x + 4
a)
6/5
b)
-6/5
c)
2
d)
-2
97.
5(n-2)=10(3n+9)
a)
-4
b)
4
c)
2.5
d)
25
98.

The sum of m and n

a)

n + m

b)

m - n

c)

n - m

99.

4 less than g

a)

4 - g

b)

g - 4

c)

4 + g

100.

The difference of a number t and 2

a)

t + 2

b)

t - 2

c)

2 - t

101.

The sum of a number k and a number j reduced by 10

a)

k + j - 10

b)

(k + j) + 10

c)

(k - j) - 10

d)

(k + j) - 10

102.

8 decreased by the sum of 3 and a number c

a)

8 - (3 - c)

b)

8 - 3 - c

c)

8 - (3 + c)

d)

8 - 3 + c

103.

6 more than the difference of 9 and a number p

a)

6 + (9 - p)

b)

6 + (p - 9)

c)

6 + 9 - p

d)

6 + p - 9

104.

4 less than the sum of a number r and a number s

a)

4 - r + s

b)

4 - (r + s)

c)

(r - s) - 4

d)

(r + s) - 4

105.

15 decreased by a number b squared

a)

15 + b2

b)

15 - b2

c)

b2 - 15

d)

15 - b3

106.

The sum of a number x and a number y, cubed

a)

x + y3

b)

x + y2

c)

(x + y)2

d)

(x + y)3

107.

The product of a number and 4

a)

4n

b)

4/n

c)

n - 4

d)

n + 4

108.

twice a number plus 8

a)

2 + 8a

b)

8 - 2a

c)

2a + 8

d)

a2\frac{a}{2} + 8

109.

The quotient of ten times a number and 7

a)

7 - 10y

b)

7y + 10

c)

10y - 7

d)

10y7\frac{10y}{7}

110.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
111.

A number squared increased by 1

a)

1+√2

b)

x2+1

c)

x2-1

d)

√2 +1

112.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
113.
What is the correct term for the answer you get when you multiply?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
114.
What is the correct term for the answer you get when you divide?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
115.
What is the correct term for the answer you get when you subtract?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
116.
Taking the difference of two numbers means that we should ________?
a)
Combine
b)
Add
c)
Subtract
d)
Compare
117.
To double a number means to multiply by what number?
a)
3
b)
2
c)
0
d)
4
118.
5 less than a number is 15.
a)
x - 5 = 15
b)
5 - x = 15
c)
15 - x = 5
119.
Two more than 4 times a number is -18.
a)
4x + 2 = -18
b)
2x + 4 = -18
c)
18 = 4x +2
120.
Twice a number is 24.
a)
2n = 24
b)
2/n = 24
c)
2 + n = 24
d)
2 - n = 24
121.
Twice the sum of a number and 5 is 22.
What is the number
a)
3
b)
4
c)
5
d)
6
122.
The sum of a number and 8 is 12.
What is the number?
a)
2
b)
3
c)
4
d)
5
123.
What is the difference between an expression and equation?
a)
Expressions have an equal sign and equations do not have an equal sign
b)
Expressions do not have an equal sign and equations do have an equal sign
c)
There is not a difference
d)
Expressions do not have variables and equations have variables
124.
What does "difference" mean?
a)
add
b)
subtract 
c)
multiply
d)
divide
125.
Translate: two times the sum of a number and five 
a)
2 + y + 5
b)
2y + 5 
c)
2(y + 5)
d)
2 - y + 5
126.
A number tripled subtracted from 60 is the same as 21.
a)
3c − 60 = 21
b)
60 − 3 = 21c
c)
60 − 3c = 21
d)
c(60 − 3) = 21
127.
what is the value of g?
⅓g - 6 = 4
a)
g = 2
b)
g = 6
c)
g = 10
d)
g = 30
128.

Twice the number decreased by 22 is 48. Which of the following equation models the problem

a)

2x = 48

b)

2x - 48 = 22

c)

22 - 2x = 48

d)

2x - 22 = 48

129.

A number is 12 more than the other. Find the numbers if their sum is 48.

a)

18 & 30

b)

20 & 28

c)

19 & 29

d)

13 & 35

130.

The sum of two consecutive even numbers is 38. Which of the following equation represents the prblem

a)

2x + 1 = 38

b)

x + 2 = 38

c)

2x + 2 = 38

d)

x + 1 = 38

131.

The sum of two consecutive even numbers is 38. Find the numbers.

a)

16 & 18

b)

18 & 20

c)

20 & 22

d)

22 & 24

132.

The sum of three consecutive odd numbers is 51. Find the largest numbers.

a)

17

b)

19

c)

21

d)

23

133.

Rene is 6 years older than her younger sister. After 1 0 years, the sum of their ages will be 50 years. Find their present ages.

a)

26 & 24

b)

22 & 28

c)

8 & 10

d)

12 & 18

134.

The length of a rectangle is 10 m more than its width. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle.

a)

30 m & 40 m

b)

35 m & 45 m

c)

20 m & 60 m

135.

In a class of 42 students, the number of boys is 2/5 of the girls. Find the number of boys and girls in the class.

a)

30 boys & 12 boys

b)

16 boys & 26 girls

c)

12 boys & 30 girls

d)

26 boys & 16 girls

136.

In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure of the base angles.

a)

base angles are 50o

b)

base angles are 60o

c)

base angles are 70o

d)

base angles are 80o

137.

Adman’s father is 49 years old. He is 5 years older than four times Adman’s age. What is Adman’s age?

a)

Adman is 14 years old

b)

Adman is 13 years old

c)

Adman is 12 years old

d)

Adman is 11 years old

138.

Write an equation and solve:


John has twelve pictures on his phone. His friend took a few more. John now has seventeen pictures on his phone. How many pictures did his friend take?

a)

29 pictures

b)

5 pictures

c)

0 pictures

d)

7 pictures

139.

Rishi is twice as old as Vani. 10 years ago his age was thrice of Vani. Find their present ages.

a)

10,30

b)

20,40

c)

30,60

d)

100,200

140.

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

a)

4,19

b)

8,12

c)

8,17

d)

10,23

141.

The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

a)

84 , 36

b)

36,72

c)

12,40

d)

20,40

142.

The length of a rectangle is twice its breadth. If the perimeter is 72 metre, find the length and breadth of the rectangle.

a)

12,20

b)

40,60

c)

24,12

d)

100,56

143.

Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find their present ages

a)

21,22

b)

3,17

c)

12,3

d)

6,1

144.
A gym membership charges an initial fee of $100 plus a $25 fee every month. Another gym only charges $45 every month. After how many months will the total cost for both gyms be the same?
a)
2
b)
3
c)
4
d)
5
145.

Construct linear equation for the following statement:

Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

a)

5x + 7x = 120

b)

5x - 7x =120

c)

x ⁄ 5 + x ⁄ 7 = 120

d)

None of the above

146.

Identify two consecutive multiples of 3 whose sum is 57.

a)

24 and 33

b)

27 and 30

c)

21 and 36

d)

None of the above

147.

The digit in the ten’s place of a two digit number is 3 more than digit in the unit’s place. Let the digit in the units place be b. Then the number is?

a)

11b+3011b+30

b)

10b+3010b+30

c)

11b+311b+3

d)

10b+310b+3