Free Printable Grade 9 math review 2

1.

2n⁴ /6n⁴

a)

1/3n

b)

3

c)

3n

d)

1/3

2.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

3.

a)

A.

b)

B.

c)

C.

d)

D.

4.

Simplify:

a)

4(x+5)/3(x+5)

b)

4/3

c)

3/4

d)

x+5

5.

Simplify:

a)

x(x-5)/(x+5)(x-5)

b)

x/(x-5)

c)

x/(x+5)

d)

(x+5)/x

6.

Simplify:

a)

(x-3)/2

b)

2/(x-3)

c)

(x+3)/2

d)

2/(x+3)

7.

Simplify:

a)

1/x²

b)

x

c)

1/x

d)

x²

8.

Simplify:

a)

(y-4)/(y-3)

b)

(y+4)/(y+3)

c)

(y+3)/(y+4)

d)

(y-3)/(y-4)

9.

Simplify:

a)

4(x-3)/(x-7)

b)

4(x+3)/(x+7)

c)

4(x+3)(x-7)

d)

4(x-3)/(x+7)

10.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

11.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

12.

Simplify: 9m²∕27m³

a)

1⁄3m

b)

3⁄7m²

c)

1∕3m²

d)

3∕m²

13.

a)

6/5x

b)

6/5

c)

(x+3)/(x+2)

d)

(x+3)/(x-4)

14.

a)

A.

b)

B.

c)

C.

d)

D.

15.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

16.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

17.

The factorisation of 4x + 16 is _______

a)

4(x + 4)

b)

4(x - 4)

c)

x + 4

d)

4x + 4

18.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

19.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

20.

$Simplify\ \frac{x\left(x-5\right)}{x^2}$

a)

$\frac{x-5}{x}$

b)

$\frac{1}{x-5}$

c)

$\frac{x^2-5x}{x^2}$

d)

-5

21.

$\frac{20af}{4a}$

a)

5f

b)

5af

c)

5a

d)

20f

22.

$\frac{42xyz}{56}$

a)

$\frac{6xyz}{8}$

b)

$\frac{3xyz}{4}$

c)

$\frac{6yz}{8}$

d)

$\frac{3yz}{4}$

23.

$\frac{6x+8}{2}$

a)

6x+8

b)

3x+8

c)

3x+4

d)

6x+4

24.

$\frac{33a^2b^2}{44a^3b}$

a)

$\frac{3ab}{4ab}$

b)

$\frac{3b}{4a}$

c)

$\frac{3ab}{4}$

d)

$\frac{3}{4ab}$

25.

$\frac{\left(x+7\right)^2}{\left(x+7\right)}$

a)

$\frac{x+7}{x+7}$

b)

1

c)

$\frac{1}{x+7}$

d)

x+7

26.

$\frac{16mn}{18n}$

a)

$\frac{8mn}{9}$

b)

$\frac{8m}{9n}$

c)

$\frac{8m}{9}$

d)

$\frac{8}{9n}$

27.

$\frac{8x^4}{2x^2}$

a)

$4x^3$

b)

$\frac{4x^2}{2}$

c)

$4x^2$

d)

$\frac{8x^2}{2}$

28.

the mass of the girl is 60 kg her estimate is correct to the nearest 10 kg between what limits does the actual mass girl lie

a)

50.5≤60<70.5

b)

55≤60<65

c)

50≤60<70

29.

The number 43.4 has been rounded to the nearest tenth. Find its lower and upper bounds.

a)

42 ≤ 43 < 44

b)

43.3 ≤ 43.4 < 43.4

c)

43.35  ≤ 43.4  < 43.45

30.

The length and width of a field have been measured as 78m and 35m to the nearest metre. Find the greatest possible amount of fencing needed to surround the field

a)

27

b)

228

c)

226.5

d)

228.5

31.

The sides of the rectangle are measured to the nearest cm. What is the largest area of the rectangle?

a)

15 cm²

b)

19.3 cm

c)

19.25 cm²

d)

11.25 cm²

32.

What is the upper bound and lower bound of 390 grams, measured to the nearest 10 grams?

a)

395 and 385

b)

390.5 and 389.5

c)

400 and 300

d)

400 and 350

33.

The number 10 has been rounded to the nearest whole number. Find its lower and upper bounds

a)

9 ≤ 10 < 10

b)

9.5  ≤ 10  < 10.5

c)

9 ≤ 10 < 11

34.

The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds

a)

950  ≤ 1000  < 1050

b)

950 ≤ 1000 < 1050.1

c)

950 ≤ 1000 < 1051

35.

The weight, w grams, of the bag of sweets is 250 g correct to the nearest 10 g. Find the lower bound and the upper bound of w

a)

245 and 255

b)

249.5 and 250.5

c)

247.5 and 252.5

d)

240 and 260

36.

Zoe’s weight is 62 kg, correct to the nearest kilogram. Anu’s weight is 85 kg, correct to the nearest kilogram.

Work out the upper bound for the difference between Zoe’s weight and Anu’s weight.

a)

20 kg

b)

23 kg

c)

22 kg

d)

24 kg

37.

The length and width of a field have been measured as 78m and 35m to the nearest metre. Find the greatest possible amount of fencing needed to surround the field

a)

27

b)

228

c)

226.5

d)

228.5

38.

A piece of A4 paper is 21.1 cm by 29.7 cm measured to the nearest 0.1cm. What are the lower and upper bounds of its area, in square centimetres, correct to 1 dp?

a)

624.1325 and 629.2125

b)

624.1 and 629.2

c)

624.13 and 629.21

d)

624 and 629

39.

-3 + x ≤ -11

a)

x ≤ -8

b)

x ≤ 8

c)

x ≥ -8

d)

x ≥ 8

40.

2x < -3x + 15

a)

x > 3

b)

x > 15

c)

x < 3

d)

x < 15

41.

6x - 4 ≥ 26

a)

x ≥ 3.67

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

42.

3x - 2 < 13

a)

x > 3.67

b)

x > 5

c)

x < 5

d)

x < 3.67

43.

2x - 3 ≥ 4x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

44.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

45.

.5(x - 8) < 2

a)

x > 20

b)

x < 20

c)

x > 12

d)

x < 12

46.

-1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

47.

-2x + 2 > 3x - 8

a)

x > -9

b)

x > 2

c)

x < -9

d)

x < 2

48.

What inequality is graphed here?

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

49.

What inequality is graphed here?

a)

x ≤ -2

b)

x < -2

c)

x > -2

d)

x ≥ -2

50.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

51.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

52.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

53.

Translate:

Twice a number is smaller than 42.

a)

2x < 42

b)

2x > 42

c)

2x ≤ 42

d)

2x ≥ 42

54.

Choose the group of numbers that satisfy the inequality:

x < -4

a)

-4, -5, -6

b)

-4.001, -5, -6

c)

5, 6, 7

d)

0, -5, -10

55.

Choose the correct inequality for the graph:

a)

x > 2

b)

x > 2

c)

x < 2

d)

x < 2

56.

Solve the inequality: 3x - 10 > 2

a)

x > 4

b)

x < 4

c)

x > -8/3

d)

x < 8/2

57.

4 - 2x < 14

a)

x < -9

b)

x > -9

c)

x < -5

d)

x > -5

58.

Solve the inequality: -3(x + 2) < 21

a)

x < -9

b)

x > -9

c)

x > 5

d)

x < 5

59.

2(x - 1) + 4x < 10

a)

x > 2

b)

x < 2

c)

x > 11/6

d)

x < 11/6

60.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

61.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

62.

When graphing b < 6 would you use an open or closed circle?

a)

Open

b)

closed

63.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

64.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

65.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

66.

$2-x\le-2$

a)

$x\le4$

b)

$x\ge4$

c)

$x\le-4$

d)

$x\ge-4$

67.

Which is the solution of
-4 - 6m > -9m + 8?

a)

m < -4

b)

m > 4

c)

m < 15

d)

m > 36

68.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 < 30

a)

0

b)

100

c)

-100

d)

-3

e)

-4

69.

The equation of a straight line is in the form of .....

a)

y=x

b)

y=mx

c)

y=mx+c

d)

y=mx+mc

70.

What is the gradient of the line y=2x-3

(a)

71.

Which of these lines has a negative gradient?

a)

Orange Line

b)

Blue Line

c)

Red Line

d)

Green Line

72.

What is the gradient of this line?

a)

2

b)

½

c)

−2

d)

−½

73.

What is the gradient of the line AD?

a)

⅘

b)

−⅘

c)

1¼

d)

−1¼

74.

Find the y-intercept for the PURPLE line.

a)

−3

b)

4

c)

−2

d)

2

75.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

$2x-y-2=0$

b)

$2x-y-10=0$

c)

$2x-y+2=0$

d)

$2x-y+10=0$

76.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

77.

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

a)

$x+2y-6=0$

b)

$x+2y-9=0$

c)

$x+14y+12=0$

d)

$x+14y+18=0$

78.

Straight line $3x-9y-k=0$ passes through A(2, 1) . Find the value of $k$ .

a)

-15

b)

-3

c)

3

d)

15

79.

Find the slope of the straight line $2x-6y+9=0$ .

a)

-3

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

3

80.

Find the x-intercept and y-intercept of straight line $2x+5y-10=0$ .

a)

x-intercept = $-\frac{2}{5}$ , y-intercept = 5

b)

x-intercept = $-\frac{5}{2}$ , y-intercept = 2

c)

x-intercept = 5 , y-intercept = 2

d)

x-intercept = 5 , y-intercept = 5

81.

Where does the line $y=3x+4$ cross the y-axis?

a)

3

b)

-4

c)

4

d)

-3

82.

What line goes through (1,4) and has gradient 2

a)

y=2x+2

b)

y=x+1

c)

y=4x-1

d)

y=2x+4

83.

Which line has gradient 2 and passes through the point (2,3)

a)

y=x

b)

y=2x-1

c)

y=x+1

d)

y=2x

84.

When the line is a horizontal (flat), the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

85.

When the line is vertical, the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

86.

What is y-intercept?

a)

the x-coordinate of the point where the line cuts the x-axis

b)

the x-coordinate of the point where the line cuts the y-axis

c)

the y-coordinate of the point where the line cuts the x-axis

d)

the y-coordinate of the point where the line cuts the y-axis

87.

P is the point (−2,3) and Q is the point (4,15). Find the gradient of the straight line PQ.

a)

$-2$

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

$2$

88.

$4x+6y=0$
What is the gradient of the straight line above?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

4

d)

6

89.

__________: A ratio between the measurements of the drawing and of the actual object.

a)

scale drawing

b)

constant of proportionality

c)

scale

d)

unit rate

90.

Determine the scale in the form of 1:n

(a)

91.

Determine the scale used in the form of 1:n

(a)

92.

Sarah draws a scale drawing of an object using certain scale. It is found that the scale drawing is bigger than the object. Which of the following is possible scale used by Sarah?

a)

1 : 1

b)

1 : 2

c)

$1\ :\ \frac{1}{2}$

d)

$1\ :\ \frac{10}{2}$

93.

Find the perimeter of the large triangle.

a)

24

b)

36

c)

12

d)

54

94.

A house plan is drawn with the scale of 1:400. The length and the width of living room on the plan are 5cm and 4cm respectively. If the living room is shape of a rectangle, what is the actual area, in m², of the living room?

a)

20

b)

320

c)

200 000

d)

3 200 000

95.

The actual area of a square garden is 400m². If the garden is drawn using the scale of 1:500, calculate the area, in cm², of the drawing.

a)

4

b)

8

c)

16

d)

20

96.

The diagram shows a combination of a rectangle JKMN and a triangle KML. If the measurement of the scale drawing of KL is 6.5cm, what is the scale for the drawing?

a)

$1\ :\ \frac{1}{\text{2}}$

b)

1 : 2

c)

1 : 20

d)

1 : 200

97.

The diagram is redrawn using the scale of 1:200. Calculate the length of AB, in cm, of the drawing.

a)

2.5

b)

3

c)

5

d)

6

98.

The actual length of a side of a quadrilateral is 49mm. The length of the mentioned side on a scale drawing is 7cm using the scale of 1:n. Calculate the value of n.

a)

$\frac{7}{10}$

b)

$\frac{70}{10}$

c)

$\frac{700}{10}$

d)

$\frac{7000}{10}$

99.

Based on the diagram, check 2 correct length of JK based on the given scales.

a)

Scale = 1:2

Length of JK = 7.5cm

b)

Scale = 1:1

Length of JK = 15mm

c)

Scale = $1:\frac{1}{3}$
Length of JK = 45cm

d)

Scale = 1:
Length of JK = 0.3m

100.

The actual length of a river is 2km. If the river is drawn on a map scale 1:40 000, find the length, in cm, of the river on the map.

(a)

101.

Diagram (b) is the scale drawing of Diagram (a) using the scale $1:\frac{1}{5}$ . Find the value of y.

(a)

102.

State the sclae of the scale drawing

(a)

103.

Calculate the area, in $cm^2$ , of the triangle in its scale drawing drawn according to a scale of $1:\frac{1}{3}$ .

(a)

104.

Which calculation would determine the coordinates of the midpoint of the segment that connects

$\left(-2,7\right)$ and $\left(6,-5\right)$

a)

$\left(\frac{-2+6}{2},\frac{7+-5}{2}\right)$

b)

$\left(\frac{-2+7}{2},\frac{6+-5}{2}\right)$

c)

$\left(\frac{-2+-5}{2},\frac{7+6}{2}\right)$

d)

$\left(-2+6,7+-5\right)$

105.

Complete the question to determine the coordinates of the midpoint of the segment that connects

$\left(-2,7\right)$ and $\left(6,-5\right)$

a)

$\left(2,1\right)$

b)

$\left(\frac{5}{2},\frac{1}{2}\right)$

c)

$\left(-\frac{7}{2},\frac{13}{2}\right)$

d)

$\left(4,2\right)$

106.

What formula is the midpoint formula?

a)

b)

107.

The endpoints of segment CD are C (3, -5) and D (7, 9). Find the coordinates of the midpoint?

a)

(3, 5)

b)

(5, 2)

c)

(6,8)

108.

Find the midpoint of the segment with the following endpoints:

(-9, 2) & (-5, -6).

a)

(-7, -2)

b)

(2, -7)

c)

(-9, -5)

d)

(2, -6)

109.

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(5, -6) and M(4,3).

a)

(3, 12)

b)

(6, 4)

c)

(1, 2)

110.

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(-3, 7) and M(-2,5).

a)

(6, 8)

b)

(-1, 3)

c)

(2, -4)

111.

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(-2, 9) and M(8, 0).

a)

(-6, 0)

b)

( 6, 9)

c)

(18, -9)

112.

What formula is the distance formula?

a)

b)

113.

Find the distance between the following points:

(1,4) & (4,0)

a)

10

b)

5

c)

25

d)

30

114.

Find the distance between the two points:

(-3,-1) & (-2,4).

a)

$\sqrt{2}$

b)

3

c)

$\sqrt{10}$

d)

$\sqrt{26}$

115.

What is the distance between the two points?

a)

$2\sqrt{10}$

b)

4

c)

$4\sqrt{10}$

d)

$10\sqrt{2}$

116.

The Endpoints of RN are R(0,4) and N(-2,-3). Find the Distance

Choose 2

a)

$\sqrt[]{8}$

b)

7.28

c)

$\sqrt[]{53}$

d)

2.83

117.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

118.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

119.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

120.

Select the two lines that are parallel.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are parallel.

121.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

122.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

123.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

124.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an y-intercept of -2?

a)

$y=4x-2$

b)

$y=4x+8$

c)

$y=\frac{1}{4}x-2$

d)

$y=-\frac{1}{4}x-2$

125.

Are the equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

126.

A line is perpendicular to y = 2x + 4

What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

127.

Level 3

Which two equations below are parallel?

a)

y = 2x + 1 and y = -1/2x + 1

b)

y = 2x + 3 and y = -2x + 3

c)

y = 2x - 1 and y = 1/2x - 1

d)

y = -x + 4 and y = -x + 2

128.

Level 3

Which two equations below are perpendicular?

a)

y = -3x + 2 and y = -2x + 2

b)

y = 3x + 1 and y = 3x + 1

c)

y = -x + 1 and y = -x - 2

d)

y = 3x - 4 and y = -1/3x - 2

129.

What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).

a)

y = -3x + 10

b)

y= 1/3x +10

c)

y = -1/3x +10

d)

y = 3x -15

130.

Write an equation that is parallel to the line
y = x - 5 through (1, -2)

a)

y = -3x +1

b)

y = x - 3

c)

y = x + 1

d)

y = 3x +1

131.

Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)

a)

y = -7/2x + 4

b)

y = -4x - 7/2

c)

y = 4x - 7/2

d)

y = 7/2x + 4

132.

Write an equation of a line parallel to y = x + 3 through (5, 3)

a)

y = x + 2

b)

y = -2x + 1

c)

y = 2x + 1

d)

y = x - 2

133.

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

a)

y = -3x + 1/5

b)

y = -3x - 1/5

c)

y = 1/5x - 3

d)

y = -1/5x - 3

134.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

135.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

136.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

137.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

138.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = 6

y = -2

b)

x = -6

y = -2

c)

x = -6

y = 2

d)

x = 6

y = 2

139.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

140.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

141.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

142.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

143.

Solve for (x,y)

5x + y = 9

10x − 7y = −18

a)

(-4,-1)

b)

(-1,-4)

c)

(4,1)

d)

(1, 4)

144.

Solve by substitution:
$2x-3y=-1$
$y=x-1$

a)

(3, 4)

b)

(4, 3)

c)

(4, 4)

d)

(3, 3)

145.

Solve by elimination:
$-6x+6y=6$
$-6x+3y=-12$

a)

(-5, 6)

b)

(5, -6)

c)

(-5, -6)

d)

(5, 6)

146.

Solve by elimination:
$-2x-9y=-25$
$-4x-9y=-23$

a)

(-1, -1)

b)

(-1, 3)

c)

(3, -3)

d)

(-3, 3)

147.

Solve by elimination:
$5x+y=9$
$10x-7y=-18$

a)

(4, 1)

b)

(-1, 4)

c)

(1, 4)

d)

(4, -1)

148.

Solve by elimination:
$-4x+9y=9$
$x-3y=-6$

a)

(9, 5)

b)

(-9, 5)

c)

(9, -5)

d)

(-9, -5)

149.

True or false?

Scatter plots have lines joining their dots.

a)

True

b)

False

150.

This scatter plot shows that as the temperature goes up the number of pies sold:

a)

goes up

b)

goes down

c)

stays the same

151.

You can see that as students get older, they do:

a)

more hours of homework

b)

fewer hours of homework

c)

the same hours of homework as when they were younger

152.

True or false?

This scatter plot tells you that as temperature increases, sales of cold drinks also increase.

a)

True

b)

False

153.

Which type of relationship does this scatter plot show between student age and hours of homework?

a)

No relationship

b)

A positive relationship

c)

A negativ relationship

154.

True or false?

This scatter plot shows a clear relationship between the time spent watching television and the distance a student lives from school.

a)

True

b)

False

155.

When there is no relationship between the two sets of data on a scatter plot, the diagram will show:

a)

randomly scattered dots

b)

dots going up from left to right

c)

dots going down from left to right

156.

The scatter plot shows that:

a)

the newer a motor vehicle, the higher its selling price

b)

the newer a motor vehicle, the lower its selling price

157.

This scatter plot relates the number of pens in students' pencil cases to the number of sandwiches in their lunchboxes.

Choose the correct word/s to complete the statement.

The scatter plot shows there is ____________ relationship between the number of pencils student carry and the number of sandwiches in their lunchboxes.

a)

a positive

b)

a negative

c)

no

158.

Ethan surveyed two canteens and plotted their sunscreen sales against their sales of cold drinks.

Choose the correct statement using data from the diagram.

As sales of cold drinks increase, sunscreen sales:

a)

decrease

b)

do not change

c)

increase

159.

Luke’s maths result was very good but his English result was very poor. Which dot is most likely to represent his results?

a)

A

b)

B

c)

C

d)

D

160.

Areej got a very poor maths result but a very good English result. Which dot is most likely to represent her results?

a)

A

b)

B

c)

C

d)

D

161.

Which diagram shows a negative relationship between Factors A and B?

a)

b)

c)

d)

162.

Which diagram shows that as Factor A increases, Factor B also increases?

a)

b)

c)

d)

163.

Choose the correct word/s to complete this statement.

This scatter plot shows that there is _______________ relationship between motor vehicle age and selling price.

a)

a positive

b)

a negative

c)

no

164.

Which graph shows that Factor B remains unchanged as Factor A increases?

a)

b)

c)

d)

165.

Stefan’s mark for Maths was the same as his mark for English. Which dot is most likely to represent his results?

a)

A

b)

B

c)

C

d)

D

166.

Choose all the statements which correctly describe this scatter plot.

a)

There is a strong positive relation between the two sets of marks.

b)

Students who did well in history did not do as well in art.

c)

There is a strong negative relation between the two sets of marks.

d)

Students who did well in history also did well in art.

Answer

167.

Which of the following plots shows the strongest negative relation between the two sets of data?

a)

b)

c)

d)

168.

Which of these scatter plots shows the weakest relationship between the two sets of data?

a)

b)

c)

d)

169.

Which of the following diagrams shows a weak positive relationship between the two sets of data?

a)

b)

c)

d)

170.

If you plotted the sales of raincoats each day against the amount of rain falling each day you could expect:

a)

a strong negative relationship

b)

a weak negative relationship

c)

no relationship

d)

a positive relationship

171.

A strong positive relationship between two sets of data means that as there is an increase in one, there is:

a)

a decrease in the other

b)

a definite increase in the other

c)

no obvious increase or decrease

d)

a definite decrease in the other

Answer

172.

Use the line of best fit to estimate the chemistry mark for a student who obtained a mark of 90 in mathematics.

Chemistry mark estimate is ...

(a)

173.

Which graph shows the best trend line for this data?

a)

b)

c)

d)

Grade 9 math review 2

Total questions: 173

Worksheet time: 5hrs 28mins

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