Free Printable Revision year 7

1.

Solve $\frac{4}{3}x=20$

a)

x = 15

b)

x = $26\ \frac{2}{3}$

c)

x = 10

d)

x = 20

2.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

3.

Solve each equation. $.75\left(x-13\right)=-2\left(9+x\right)$

a)

$x=-3$

b)

$x=3$

c)

$x=11$

4.

Which is the correct first step in solving the equation shown?

a)

Subtract 33 from both sides

b)

Add 33 from both sides

c)

Add 3.5 from both sides

d)

Multiply both sides by -3.5

5.

Which of the following shows the equation below after it has been simplified?

a)

34=10x+14

b)

34=8x+18

c)

34=9x+14

d)

34=10x - 14

6.

Austin solved the equation as shown below. Which correctly describes the error that Austin made in his work?

a)

Austin did not combine 7x and 8x correctly.

b)

Austin did not combine -3 and -9 correctly.

c)

Austin did not divide correctly.

d)

Austin did not make an error in his work.

7.

Solve for x.
15 = -x + 2

a)

x = -13

b)

x = 13

c)

x = -17

d)

x = 17

8.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

9.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

10.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

11.

Solve the equation

a)

14

b)

-6

c)

4

d)

-2

12.

4(x+1) = 5x+10

a)

x = 10

b)

x = 29

c)

x = -4

d)

x = -6

13.

-2(10r-2)=84

a)

r=4

b)

r=4.4

c)

r=60

d)

r=-4

14.

What step occurred?
4x+2+3x+10
7x+12

a)

simplify

b)

inverse operations

c)

combine like terms

d)

solving

15.

Solve: -7(z - 6) = -70

a)

16

b)

-16

c)

8

d)

-1/2

16.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

17.

a)

32

b)

30

c)

29

d)

20

18.

a)

35

b)

40

c)

42

d)

45

19.

a)

5

b)

-5

c)

7

d)

-7

20.

a)

1

b)

2

c)

3

d)

4

21.

a)

2

b)

1

c)

-1

d)

-2

22.

a)

1

b)

2

c)

3

d)

4

23.

a)

7

b)

8

c)

9

d)

10

24.

a)

7

b)

8

c)

9

d)

10

25.

a)

7

b)

6

c)

5

d)

8

26.

a)

-5

b)

-2

c)

2

d)

5

27.

a)

3

b)

5

c)

7

d)

9

28.

13 - 4x = 1 - x

a)

x = -12

b)

x = -4

c)

x = 4

d)

x = 12

29.

4x - 40 = 7(-2x + 2)

a)

x = 2

b)

x = 1

c)

x = 3

d)

x = 4

30.

7(5x - 4) -1 = 14 - 8x

a)

x = 2

b)

x = 1

c)

x = -2

d)

x = -1

31.

3(1 - 3x) = 2(-4x + 7)

a)

x = 11

b)

x = -11

c)

x = 10

d)

x = -12

32.

5(x + 6) + 11 = 25 - 3x

a)

x = 3

b)

x = -2

c)

x = -3

d)

x = 2

33.

4(x + 8) - 4 = 34 - 2x

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

34.

Combine Like Terms:

3x - 8 + 6x - 3 + 10x + 2

a)

9x - 13

b)

19x - 13

c)

9x - 9

d)

19x - 9

35.

7 - (5x - 13) = -25

a)

x = -9

b)

x = -1

c)

x = 1

d)

x = 9

36.

-3(1 + 9x) - 7(-12x + 1) = 1 + 10x - 11 - 6x

a)

x = 61

b)

x = 0

c)

x = 1

d)

x = 57

37.

Solve for x:
7 - 2(10x + 1) = 25

a)

2/5

b)

2

c)

1

d)

-1

38.

3a + 4b + 6a + 2b

a)

8a +9b

b)

6a + 9b

c)

7a + 8b

d)

9a + 6b

39.

12a - 4b -7a + 2b

a)

14a +5b

b)

5a - 2b

c)

7a - 5b

d)

12a - 4b

40.

Expand and Simplify 4(x+2)-3(x+1)

a)

x+3

b)

7x+1

c)

x+5

d)

5x+11

41.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

14x + 3

d)

9 + 7x

42.

Simplify the following equation:

x - y - z + 4 - x + 2z - y - 3

a)

-2y + z +1

b)

-2y - z + 1

c)

-2x - 2y + z + 1

d)

-2x - 2y - z + 1

43.

Simplify the Expression:
$3\left(x-4\right)\ -5x$

a)

3x - 4 - 5x

b)

-2x - 12

c)

-2x - 4

d)

3x - 1 - 5x

44.

Expand and Simplify 2(x+2)-2(x+3)

a)

2

b)

4x+8

c)

-2

d)

4x-6

45.

Expand 3(x + 2) + 2(x + 4)

a)

3x + 24 + 2x

b)

5x + 24

c)

6x² + 6

d)

5x + 14

46.

3(2x+1) + 2(x+3)=?

a)

7x + 9

b)

8x + 9

c)

6x + 6

d)

8x + 5

47.

2(y-1) - 2(y-2)=?

a)

2

b)

4y + 2

c)

-4y + 2

d)

-2

48.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

49.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

50.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

51.

How many lines of symmetry does the butterfly have?

a)

1

b)

2

c)

3

d)

4

52.

How many lines of symmetry does the flower have?

a)

2

b)

3

c)

6

d)

9

53.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

54.

How many lines of symmetry does this shape have?

a)

2

b)

4

c)

6

d)

8

55.

How many lines of symmetry does this shape have?

a)

2

b)

4

c)

6

d)

8

56.

How many of these shapes have EXACTLY ONE line of symmetry?

a)

0

b)

3

c)

6

d)

9

57.

How many shapes have MORE THAN ONE line of symmetry?

a)

6

b)

3

c)

4

d)

2

58.

How many lines of Symmetry does this hexagon have?

a)

3

b)

6

c)

9

d)

12

59.

A rectangle has ...

a)

line symmetry

b)

rotational symmetry

c)

both line and rotaional symmetry

d)

neither line nor rotational symmetry

60.

Which of the following plane figure has exactly 4 lines of symmetry?

a)

Square

b)

Rectangle

c)

Circle

d)

Triangle

61.

A circle has ______ number of lines of symmetry

a)

4

b)

5

c)

6

d)

infinite / countless

62.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

3

63.

What is symmetry?

a)

When a shape or object is divided into two equal parts.

b)

When one side of a shape or object is the mirror image of the second side.

c)

When a shape is special.

d)

When a shape is 2-d or 3-d.

64.

How many lines of symmetry are there on a regular pentagon?

a)

3

b)

4

c)

5

d)

6

65.

How many lines of symmetry are there on a regular octagon?

a)

8

b)

9

c)

10

d)

12

66.

How many lines of symmetry are there on a regular decagon?

a)

8

b)

9

c)

10

d)

12

67.

What is the order of rotational symmetry for the shape below?

a)

0

b)

1

c)

2

d)

3

68.

What is the order of rotation in the recycling symbol?

a)

1

b)

2

c)

3

d)

1,000

69.

Find the order of rotational symmetry in this shape.

a)

2

b)

3

c)

4

d)

5

70.

Find the order of rotational symmetry in this shape.

a)

4

b)

8

c)

7

d)

6

71.

Find the order of rotational symmetry in this shape.

a)

6

b)

8

c)

7

d)

4

72.

What is the order of rotational symmetry for the shape below?

a)

4

b)

5

c)

6

d)

0

73.

What is the order of rotation of this shape?

a)

8

b)

7

c)

6

d)

5

74.

Which one is the order of rotational symmetry of the shape?

a)

3

b)

1

c)

4

d)

2

75.

What is the angle of rotational symmetry?

a)

360°

b)

180°

c)

120°

d)

90°

76.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

77.

What is the order and angle of rotation of the flower?

a)

Order 6, 60 degrees

b)

Order 4, 90 degrees

c)

Order 3, 120 degrees

d)

Order 6, 254 Degrees

78.

Name that shape.

a)

trapezoid

b)

quadrilateral

c)

parallelogram

d)

rhombus

79.

A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

80.

Name that shape.

a)

square

b)

square
rhombus

c)

quadrilateral
parallelogram
rhombus

d)

quadrilateral
parallelogram
square

81.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

82.

All squares are rectangles.

a)

True

b)

False

83.

All rectangles are squares.

a)

True

b)

False

84.

All squares are rhombuses.

a)

True

b)

False

85.

This figure has 4 right angles and 4 congruent sides. Which term BEST names the figure?

a)

square

b)

rectangle

c)

kite

d)

trapezoid

86.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

87.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

88.

What are the properties of a Rhombus?

a)

All sides are congruent

b)

Diagonals are perpendicular

c)

Opposite angles are congruent

d)

One pair of parallel sides

e)

Consecutive angles are supplementary

89.

Which quadrilateral(s) have opposite sides that are parallel?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

90.

Which quadrilateral(s) have opposite sides that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

91.

Which quadrilateral(s) have diagonals that bisect opposite angles?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

92.

What is the value of the missing angle in this quadrilateral?

a)

56 degrees

b)

67 degrees

c)

304 degrees

d)

360 degrees

93.

Which quadrilateral(s) have four sides? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

94.

Which quadrilateral(s) have four angles? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

95.

Which quadrilateral(s) have an interior angle sum of 360°? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

96.

Which quadrilateral(s) have two distinct pairs of congruent adjacent sides? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

97.

Which quadrilateral(s) have leg angles (angles that share the same leg) that are supplementary? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

98.

Classify this triangle based on the length of its sides.

a)

Isosceles

b)

Equilateral

c)

Scalene

99.

Which statement is true?

a)

Isosceles triangles have all different internal angles.

b)

Isosceles triangles have two equal internal angles.

c)

Isosceles triangles have three equal internal angles.

100.

Which statement is true?

a)

A right triangle has an internal angle that measures 90 degrees.

b)

A right triangle has two internal angles that measure 90 degrees.

c)

A right triangle has an internal angle that measures 180 degrees.

Revision year 7

Total questions: 100

Worksheet time: 3hrs 31mins

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