Free Printable Middle 1 U2 and part U1 from school book

1.

If $\frac{14}{x}$ = $\frac{y}{7}$ , then $x\times y$ =

a)

2

b)

7

c)

49

d)

98

2.

If A = {7, 8, 0}, then the number of all subsets of A is

a)

8

b)

4

c)

6

d)

16

3.

Hesham packed 100 cardboard boxes in 2.5 hours. It would take Hesham ... hours to pack 160 boxes, working at the same rate.

a)

3.5

b)

4

c)

5

d)

4.5

4.

If 13,500 tourists represent 12% of a tourist group, then the number of tourists in the entire group is ... tourists.

a)

108000

b)

112500

c)

125000

d)

100000

5.

If A = {1, 5, 3, 7} and B = {1, 2, 5, 9}, then find A ∪ B.

a)

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

b)

{1, 5, 2, 9}

c)

{1, 5, 3, 7}

d)

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

6.

If A = {1, 5, 3, 7} and B = {1, 2, 5, 9}, then find A ∩ B.

a)

{1, 5}

b)

{2, 9}

c)

{3, 7}

d)

{1, 5, 9}

7.

Alaa purchased a mobile phone for 6,750 LE and sold it for 7,776 LE. Calculate the percentage of Alaa's profit.

a)

10.2%

b)

11.2%

c)

15.2%

d)

18.2%

8.

If the magnification ratio of an insect's image is 30 : 1, and the insect’s real length is $2\frac{1}{2}$ mm, find the length of the insect in the image in centimeters.

a)

7.5

b)

10

c)

12.5

d)

15

9.

What is the suitable equation to determine the price of one shirt if you purchased three shirts of the same type from an online store if the total cost is 490 LE, after adding 40 LE for shipping?

a)

X + 40 = 490

b)

3(X + 40) = 490

c)

X + 120 = 490

d)

3X + 40 = 490

10.

What is the algebraic expression equivalent to the following expression: 2X - 3 - 4X + 1?

a)

2X - 2

b)

-2X + 2

c)

-6X - 4

d)

-2 - 2X

11.

Which of the following equations is equivalent to the equation 2n + 1 = 3?

a)

n + 2 = 6

b)

2n = 4

c)

2n = 2

d)

n + 1 = $\frac{3}{2}$

12.

Which inequality expresses that Bassem requires a minimum of 10 gigabytes per month to accomplish his work online?

a)

X < 10

b)

X > 10

c)

$X\le10$

d)

X $\ge$ 10

13.

If $\frac{4}{5}$ = $\frac{2X}{7}$ , what is the value of X?

a)

11.2

b)

5.6

c)

2.8

d)

1.4

14.

What is the reciprocal of the number $0.\overline{36}$ ?

a)

$\frac{4}{11}$

b)

$-\frac{4}{11}$

c)

$4\frac{2}{3}$

d)

$2\frac{3}{4}$

15.

Which of the following equations is equivalent to the equation: 7X + 12 = 5?

a)

3X + 2 = 5

b)

4X + 3 = 7

c)

2X + 2 = 0

d)

X + 2 = 7

16.

What is the simplest form for the expression: 7b + 4a - 2 - 2b - 3a + 2?

a)

5b + a + 2

b)

5b + 7a

c)

5b + a

d)

9b + 7a + 4

17.

If A $\subset$ B, then A $\cup$ B = ............

a)

A

b)

B

c)

A $\cap$ B

d)

$\varnothing$

18.

What is the solution set of the equation $\left(2X+\frac{1}{3}\right)$ $=6$ in z?

a)

$\left\{\frac{4}{3}\right\}$

b)

{-1}

c)

{3}

d)

$\varnothing$

19.

What is the value of $b^2-2c$ when c = -1 and b = 3?

a)

2

b)

7

c)

9

d)

11

20.

If the map scale is 1:360,000 and the distance between two points on the map is 5.5 cm, what is the real distance in kilometres?

a)

20

b)

19.8

c)

18

d)

17.8

21.

Which of the following does not equal 4a?

a)

4 + a

b)

2a + 2a

c)

a + a + a + a

d)

a + 3a

22.

Two consecutive integers whose sum is 45. Which of the following equations expresses this?

a)

X + X + 1 = 46

b)

X + X - 1 = 44

c)

X + X + 2 = 45

d)

X + X + 1 = 45

23.

Omar decided to read a book with a total of (7X + 31) pages. He reads (4X + 17) pages over three days. How many pages does Omar have left to finish reading the entire book?

a)

11X + 48

b)

3X - 14

c)

11X + 14

d)

3X + 14

24.

180 pounds are to be divided between two persons in the ratio 7 : 5. What is the larger share?

a)

135 pounds

b)

105 pounds

c)

75 pounds

d)

60 pounds

25.

What is the mathematical formula that expresses the area (A) of a parallelogram with a base length ( $\ell$ ) and its corresponding height (h)?

a)

A = $\frac{1}{2}\ell h$

b)

$A=\ell+h$

c)

$A=\ell h$

d)

$A=\frac{\ell}{h}$

26.

If the perimeter of the opposite triangle is 46 cm, what is the value of X?

a)

23

b)

20

c)

17

d)

14

27.

A merchant bought goods for 9,620 LE and spent 680 LE on transportation, then sold them with a 20% profit. Find the selling price.

a)

11,400 LE

b)

12,000 LE

c)

12,360 LE

d)

13,000 LE

28.

Find in $Q$ the solution set of the equation: 5X + 7 = 2X - 5

a)

{-4}

b)

{0}

c)

{4}

d)

{-5}

29.

If the map scale is 1:300,000, and the real distance between two cities is 270 km, how far apart are they on the map?

a)

90 cm

b)

85 cm

c)

80 cm

d)

75 cm

30.

Find in N the solution set of the equation: 3(X - 2) - 4X = -8

a)

{2}

b)

{1}

c)

{0}

d)

$\varnothing$

31.

The algebraic term -5X exceeds the algebraic term -11X by ............

a)

-16X

b)

6X

c)

-6X

d)

16X

32.

The constant term in the algebraic expression: 3X - 7Y - 5XY - 7 is ............

a)

3X

b)

-7Y

c)

-5XY

d)

-7

33.

The number of terms in the algebraic expression: $6n-5n^2-9$ is ............

a)

5

b)

3

c)

2

d)

4

34.

Which of the following are like terms?

a)

$3X,-7X$

b)

$5XY\ ,\ 7YX^2$

c)

$5X,\ 5$

d)

$13a^2,\ 7a$

35.

Y + Y + Y + Y = ............

a)

$Y^4$

b)

4Y

c)

4 + Y

d)

$4Y^4$

36.

If A = {7, 8, 2}, B = {2, 1, 3}, what is the set that represents: A $\cap$ B?

a)

{2}

b)

{1, 2}

c)

{8, 2}

d)

{1, 3, 7, 8, 2}

37.

If the age of Khadija now is (y) years old, then her age 10 years ago is ............

a)

y + 10

b)

y - 10

c)

10 - y

d)

10 + y

38.

The additive inverse of the expression: 7a - 2b + 9 is ............

a)

7a + 2b - 9

b)

-7a - 2b + 9

c)

-7a + 2b - 9

d)

-7a + 2b + 9

39.

The result of adding the expressions: 2X - 4y + 6 and -3X + 4y - 6 is ............

a)

5X + 8y + 12

b)

-X

c)

-X + 8y

d)

-X - 12

40.

The result of subtracting: 7y - 6 from 3y + 7 is ............

a)

10y + 1

b)

-4y - 1

c)

4y + 1

d)

-4y + 13

41.

Two pieces of cheese of the same kind contain 240 calories. How many calories are there in 7 pieces of cheese of the same kind?

a)

127

b)

120

c)

840

d)

1680

42.

If 3(X - 1) = 12, then 5X = ............

a)

5

b)

10

c)

20

d)

25

43.

Which of the following equations has no solution in N ?

a)

2X = 20

b)

-2X = -12

c)

-2X = 10

d)

4 + X = 8

44.

What is the mathematical formula for the area of a square (A) with side length ( $\ell$ )?

a)

$A=\ell^4$

b)

$A=\ell^2$

c)

$A=4+\ell$

d)

$A=4\ell$

45.

If $\frac{a}{b}=12$ , then $\frac{a}{3b}$ = ............

a)

36

b)

4

c)

3

d)

6

46.

Which of the following represents a solution to the equation: 3(X + 6) = 0 in $Q$ ?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

-6

d)

-2

47.

Two consecutive odd numbers whose sum is 24. Which of the following equations expresses that?

a)

X + X + 2 = 24

b)

X + 2X = 24

c)

X + X + 1 = 24

d)

X + 2 + X + 3 = 24

48.

Find the mathematical expression representing the perimeter of the opposite triangle in the simplest form, then find its numerical value at: y = 2, X = 3

a)

perimeter = 30

b)

perimeter = 32

c)

perimeter = 34

d)

perimeter = 36

49.

Divide 180 LE among three people in the ratio 3 : 2 : 4. Find each person's share.

a)

60, 40, 80

b)

54, 36, 90

c)

45, 30, 105

d)

48, 32, 100

50.

A person has distributed an amount of money among three other persons. The first person has received (X + 7) LE, the second person has received (3X + 1) LE, and the third person has received (2X - 2) LE. Express in the simplest form the algebraic expression representing the total amount distributed. If X = 10, what is its value?

a)

54

b)

67

c)

66

d)

98

51.

Using the distributive property, find the value of: $\frac{5}{17}\times20-\frac{5}{17}\times7+\frac{5}{17}\times21$

a)

30

b)

10

c)

40

d)

45

52.

Find the solution set for each of the following equations: 3X - 5 = 16 in $Q$

a)

$\left\{7\right\}$

b)

{2}

c)

{1}

d)

{0}

53.

Find the solution set for each of the following equations: $2(X+3)=1-X$ in $Z$

a)

{-1}

b)

{0}

c)

{1}

d)

$\varnothing$

54.

What is the term that likes 15 X y?

a)

$-2X^2y$

b)

$-3yX$

c)

$4Xy^2$

d)

$5X^2y^2$

55.

$5X-(-4X)$ = .............

a)

$-9X$

b)

$-X$

c)

$X$

d)

$9X$

56.

Which of the following equations does not equivalent to 9 = 5 X - 1?

a)

5 X = 10

b)

3 X = 6

c)

4 X - 1 = 11

d)

X = 2

57.

What is the number of terms in the algebraic expression $1+2ab$ ?

a)

1

b)

2

c)

3

d)

4

58.

What is the solution set of the equation $3(X-2)=X$ in Z?

a)

{2}

b)

{3}

c)

{4}

d)

{5}

59.

The mathematical form that describes "doubling the number X added to 5 gives 1"?

a)

Algebraic expression

b)

Inequality

c)

Equation

d)

Mathematical formula

60.

What is the variable that has a coefficient of 5 in the algebraic expression -5 X + 5 X y - 5 y - 5?

a)

X

b)

y

c)

X y

d)

5

61.

A triangle has a base length of 14 cm, and its corresponding height is (4 X + 2) cm. If its area is 70 square centimetres, what is the value of X?

a)

2 cm

b)

3 cm

c)

4 cm

d)

5 cm

62.

If 0.3 X + 5 = 2, what is the value of X?

a)

-10

b)

-9

c)

-3

d)

3

63.

What is the algebraic expression equivalent to the following expression: 2y + 5 - 4y - 6?

a)

2y + 1

b)

-2y - 1

c)

2y - 1

d)

-2y + 1

64.

Which of the following inequalities represents the appropriate height X in centimeters for selecting someone to practice a certain sport, where the height must not be less than 165 cm?

a)

X < 165

b)

X > 165

c)

X ≤ 165

d)

X ≥ 165

65.

If 5 = 3X - 1, what is the value of 2X + 3?

a)

2

b)

3

c)

5

d)

7

66.

What is the solution set of the equation $0=10+2(4m-3)$ in N ?

a)

{1}

b)

{-2}

c)

$\left\{-\frac{1}{2}\right\}$

d)

$\varnothing$

67.

If the age of Wael now is X years old and 5 years ago his age was 22 years, which of the following equations represents the current situation?

a)

X + 5 = 27

b)

X + 5 = 22

c)

X - 5 = 22

d)

X - 5 = 17

68.

Find the solution set of the equation $3(2X-4)-8=X$

a)

{2}

b)

{3}

c)

{4}

d)

{5}

69.

Write the expression in its simplest form: 4(m - n + 4) - 2(2m - 4n + 8)

a)

4m - 2n + 16

b)

2n

c)

4m - 2n + 4

d)

4m - 2n + 2

70.

Temperature is measured in Fahrenheit (°F) or Celsius (°C). Use the mathematical formula F = 1.8C + 32 to convert the temperature from 40°C to Fahrenheit.

a)

104°F

b)

105°F

c)

106°F

d)

107°F

71.

Find three consecutive even numbers whose sum equals 168.

a)

54, 56, 58

b)

56, 58, 60

c)

58, 60, 62

d)

60, 62, 64

72.

A rectangle has a length 7 cm greater than its width, and its perimeter is 66 meters. Find the length of the rectangle.

a)

18 cm

b)

19 cm

c)

20 cm

d)

21 cm

Middle 1 U2 and part U1 from school book

Total questions: 72

Worksheet time: 18hrs 0mins

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