Free Printable Mock Test

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.

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}

4.

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

5.

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}

6.

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

7.

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

8.

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

9.

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

Translate set H into a verbal descriptive form.

4 lines

10.

S is a set of whole numbers less than 20.

Translate set S into Roster or Listing Method.

4 lines

11.

Is { } a proper subset of every set?

a)

Yes

b)

No

12.

An Equivalent set has....

a)

The same elements as a finite set.

b)

Unequal elements.

c)

Equal elements in both sets.

d)

No element.

13.

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.

14.

Determine the type of set.

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

a)

Finite

b)

Infinite

c)

Null

d)

Subsets

15.

a)

b)

c)

16.

shade the required region

a)

b)

c)

17.

shade the required region

a)

b)

c)

18.

Shade the required region

a)

b)

c)

19.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

20.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

21.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

22.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

23.

Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∩ R?

a)

∅

b)

{pencils, erasers, pens}

c)

{gloves, paper, coins, phone}

d)

{pencils, erasers, pens, gloves, paper, coins, phone}

24.

What does this symbol ( ∩ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

25.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

26.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

27.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

28.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

29.

How many students took French and Spanish?

a)

18

b)

3

c)

15

d)

104

30.

A variable is a ________________ or __________________ that represents an unknown value.

(Una variable es un ________________ o __________________ que representa un valor desconocido.)

a)

letter or symbol

(letra o símbolo)

b)

term or expression

(término o expresión)

c)

constant or coefficient

(constante o coeficiente)

d)

noughts or crosses

(ceros o cruces)

31.

A number on its own, not multiplied by a variable is a ...

(Un número por sí solo, no multiplicado por una variable, es un...)

a)

Variable

b)

Coefficient

c)

Constant

d)

Term

32.

A number that is being multiplied by a variable in an algebraic expression is called a ...

(Un número que se multiplica por una variable en una expresión algebraica se llama...)

a)

Variable

b)

Coefficient

c)

Constant

d)

Term

33.

What are like terms?

(¿Qué son los términos semejantes?)

a)

Terms with different variables

(Términos con diferentes variables)

b)

Terms with the same variables

(Términos con las mismas variables)

c)

Terms with no variables

(Términos sin variables)

34.

In order to combine one or more terms together they must have....

(Para combinar uno o más términos semejantes, deben tener...)

a)

The same number

(El mismo numero)

b)

The same variable

(La misma variable)

c)

The same variable and exponent

(Misma variable y exponente)

d)

The same exponent

(El mismo exponente)

35.

Identify the constant of the algebraic expression:

(Identifica la constante de la expresión algebraica:)

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

36.

Identify the terms of the algebraic expression:

(Identifica los términos de la expresión algebraica:)

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

37.

In the expression x - 53 - 4x - w + 6x + 8 , the variables are..

(En la expresión x - 53 - 4x - w + 6x + 8 , las variables son..)

a)

x, w, 8

b)

-53, 8

c)

x, w

d)

x, -4x, 6x, -w

38.

In the expression x - 53 - 4x - w + 6x + 8 , the constants are..

(En la expresión x - 53 - 4x - w + 6x + 8 , las constantes son..)

a)

53, 8

b)

1,-4, -1, 6

c)

x, w

d)

-53, 8

39.

In the expression x - 53 - 4x - w + 6x + 8 , the coefficients are..

(En la expresión x - 53 - 4x - w + 6x + 8 , las coeficientes son..)

a)

53, 8

b)

1,-4, -1, 6

c)

x, w

d)

-53, 8

40.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

41.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

3x + 2x + 6y + 3

a)

6y and 3

b)

2x and 3

c)

3x and 3

d)

3x and 2x

42.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

5a + 2b - 3a + 4

a)

5 and 2

b)

5a and 3a

c)

5a and 2b

d)

2 and 4

43.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

3x + 2x + 11y - 7y

a)

3x and 11y

b)

3x and 7y

c)

11y and 7y

d)

2x and 7y

44.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

45.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

46.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

47.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

8x² + 5x + 2y + x

a)

14x + 2y

b)

13x²+ 2y + x

c)

8x² + 6x + 2y

d)

8x² + 7xy + x

48.

Which represents the phrase shown?

"Four less than a number, n is equal to fifteen."

a)

$4-n=15$

b)

$n-4=15$

c)

$n-15=4$

d)

$15-n=4$

49.

Which of the following is the algebraic form for the verbal statement shown?

"thirteen more than the product of four and a number,n"

a)

$\frac{n}{4}+13$

b)

$4n+13$

c)

$4\left(n+13\right)$

d)

$13\left(n+4\right)$

50.

How is "ten less than the square of a number,a," expressed algebraically?

a)

$2a\ -10$

b)

$10-a^2$

c)

$10-2a$

d)

$a^2-10$

51.

Which phrase best represents the following?

2x-8

a)

Twice a number less than eight

b)

Eight less than a number squared

c)

Eight less than twice a number

d)

A number squared less than eight

52.

Which is an expression?

a)

$5x<3$

b)

$5x=3$

c)

$5x+3$

d)

$5x\ge3$

53.

Which algebraic expression best represents the verbal expression shown?

"Seven times the sum of a number and twelve"

a)

$12\left(n+7\right)$

b)

$7\left(n+12\right)$

c)

$7n+12$

d)

$n+84$

54.

Which of the following is an equation?

a)

$6x+3-4$

b)

$6x+3$

c)

$6x$

d)

$6x+3=4$

55.

Which best represents the number sentence shown?

x+6=4

a)

A number more than six is four

b)

The product of a number and six is four

c)

Six more than a number is four

d)

A number more than four is six

56.

Which algebraic expression best represents the number sentence below?

"The product of negative seven and a number is forty-nine."

a)

$49-p=-7$

b)

$-7p=49$

c)

$-7+p=49$

d)

$49p=-7$

57.

Which algebraic expression best represents the verbal expression shown?

"Three times a number plus five times the same number"

a)

$8n^2$

b)

$8n$

c)

$3+5n$

d)

$3n+5n$

58.

Which phrase best represents the following?

x^2-8

a)

A number squared less than eight

b)

Twice a number less than eight

c)

Eight less than a number squared

d)

Eight less than twice a number

59.

Which is an inequality?

a)

$9n+3$

b)

$9n<3$

c)

$9n-3$

d)

$9n$

60.

Which phrase is represented by

3\left(8-n\right)

a)

The difference of three and the quotient of eight and a number

b)

The sum of three and the difference of a number and eight

c)

The quotient of three and the difference of a number and eight

d)

The product of three and the difference of eight and a number

61.

Which algebraic equation best represent the verbal sentence below?

"Three increased by two times a number equals thirty-two"

a)

$3=2s-32$

b)

$5s=32$

c)

$3-2s=32$

d)

$3+2s=32$

62.

How is "two more than a number,n," expressed alegebraically? (Type your answer)

(a)

63.

Simplify: 3(5) + 5(7)

a)

25

b)

35

c)

45

d)

50

64.

Evaluate 3a – 15 when a = 4 .

a)

-5

b)

-3

c)

3

d)

19

65.

The cost of x notebook is 20𝑥 pesos. How much do you pay for one notebook?

a)

20

b)

21

c)

201

d)

210

66.

To evaluate algebraic expression means to replace a variable by a particular value and to simplify the expression.

a)

True

b)

False

67.

If x = -2, then the value of 3x + 5 = -1 .

a)

True

b)

False

68.

Evaluate 15 – 2y when y = -10 .

a)

-15

b)

-8

c)

27

d)

35

69.

A car travels at 12𝑥 ² kph. How far will the car travel in 2 hours?

a)

45 km

b)

48 km

c)

51 km

d)

57 km

70.

Evaluate

\frac{5y\ -\ 3}{2y+4}

when y = 2.

a)

$\frac{7}{8}$

b)

$\frac{7}{26}$

c)

$\frac{4}{8}$

d)

$\frac{4}{27}$

71.

Which of the following open sentence is CORRECT when we substitute 5 in x that will make the sentence true?

a)

3x + 2 = 17

b)

6x – 4 = 30

c)

12 + 2x = 24

d)

21 = 7x

72.

If c = 5 and s = 10, then the expression 12c + 3s = ______.

a)

30

b)

60

c)

90

d)

120

73.

Evaluate 𝒙 ^𝟐 − 𝟒𝒚 ^𝟑 when x = 5 and y = 2.

a)

25

b)

8

c)

32

d)

-7

74.

Evaluate 𝟒𝒂^𝟐 + 𝒃 when a = -1 and b = 7.

a)

4

b)

7

c)

3

d)

11

75.

Evaluate

\frac{2x+10}{3\ +5y}

when x = 5 and y = 4.

a)

20

b)

23

c)

$\frac{20}{23}$

d)

$\frac{2}{3}$

76.

The expression 50 + 30m gives the volume of water in Roger’s pool (in liters) after Roger spends m minutes filling his pool. What is the volume of water after he fills it for 5 minutes?

a)

150 liters

b)

200 liters

c)

305 liters

d)

355 liters

77.

If r = -5, then the value of 𝑟 ³ − 10 = 95

a)

True

b)

False

78.

Identify the property you would use to solve this equation:
4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

79.

Identify the property you would use to solve this equation:
y – 7 = 28

a)

Additive Property of Equality

b)

Subtraction Property of Equality

c)

Multiplicative Property of Equality

d)

Division Property of Equality

80.

Name the first property you will use to solve this equation:
3(x – 7) = 42

a)

Multiplication Property of Equality

b)

Commutative property

c)

Associative Property

d)

Distributive Property

81.

Name the property you will first use to solve this equation:
4x – 5 = 17

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

82.

If y/4 = 5, then y = 20

a)

Multiplication Property of Equality

b)

Division Property of Equality

c)

Addition Property of Equality

d)

Subtraction Property of Equality

83.

Identify the property you would use to solve this equation:
4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

84.

Name the property:

If 6y=24, then 6y-3=24-3

a)

Multiplication Property

b)

Subtraction Property

c)

Distributive Property

d)

Substitution Property

85.

What is the EQUATION for the problem below?

Ian spent $35 at the fair on ride tickets and admission. It cost $5 to get into the fair and $2 per ride ticket. How many ride tickets did Ian buy?
Let t = ride tickets
Equation:

a)

5t + 2 = 35

b)

7t = 35

c)

5 + t = 35

d)

5 + 2t = 35

86.

What is the EQUATION for the problem below?

Nick’s dog weighs 12 pounds more than Kiyah’s dog. Kiyah's dog weighs 60 pounds. How much does Nick’s dog weigh?
Let n = weight of Nick's dog
Equation:

a)

n + 12 = 60

b)

n - 12 = 60

c)

k + 12 = 60

d)

k - 12 = 60

87.

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

a)

x/2 + 16= 36

b)

36 + 16 = x

c)

x/2 - 16 = 36

d)

x/2 = 36 + 16

88.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

89.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

90.

Natalie is a softball coach. She has a private pitching lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

Mock Test - Term 3

Total questions: 90

Worksheet time: 3hrs 38mins

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