Free Printable NAFS Gr 9 math

1.

Solve the following equation:

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, x = −6

c)

x = 3, x = −12

d)

x = 6, x = −12

2.

Solve the following equation:

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4, −5}

c)

{−12/5, 4}

d)

{4}

3.

Solve for n:

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

4.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

5.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

6.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

7.

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

8.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

9.

A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).

a)

1/14

b)

1/2

c)

0

d)

1/7

10.

What is the probability that a randomly selected student wants to be a therapist given that the student has a fear of snakes? Leave as a fraction.

a)

$\frac{6}{11}$

b)

$\frac{1}{3}$

c)

$\frac{3}{11}$

d)

$\frac{3}{10}$

11.

What is the probability that a randomly selected student prefers athletics given that the student prefers math? Leave as a fraction.

a)

$\frac{1}{2}$

b)

$\frac{3}{10}$

c)

$\frac{4}{9}$

d)

$\frac{2}{9}$

12.

Evaluate 10!

a)

3,628,800

b)

362,880

c)

39,916,800

d)

40,320

13.

In how many ways can 6 people arrange themselves in a row for picture taking?

a)

24

b)

60

c)

120

d)

720

14.

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

a)

₁₅C₂=105

b)

₁₅P₂=210

c)

15 x 2 = 30

d)

100 ways

15.

How many ways can you arrange 2 letters from the word
S Q U A R E?

a)

30

b)

140

c)

320

d)

45

16.

₁₂P₄

a)

24

b)

132

c)

1320

d)

11880

17.

₁₂C₃

a)

0

b)

1

c)

220

d)

1140

18.

What is the distance between the following ordered pairs (5,-2) and (5,8)?

a)

8 units

b)

9 units

c)

10 units

d)

12 units

19.

What is the distance between the following ordered pairs

(-2,12) and (7,12)?

a)

3 units

b)

5 units

c)

9 units

d)

1 units

20.

What is the distance between the following ordered pairs (4,1) and (4,7)?

a)

8 units

b)

9 units

c)

7 units

d)

6 units

21.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

22.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

23.

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

a)

$y=2x-1$

b)

$y=2x-5$

c)

$y=2x-3$

d)

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

24.

What is the equation of a line perpendicular to the line $y=3x+2$ that passes through the point $\left(3,-4\right)$ ?

a)

$y=-\frac{1}{3}x-5$

b)

$y=3x-2$

c)

$y=-\frac{1}{3}x-3$

d)

$y=3x-4$

25.

Write the slope-intercept equation for the line through $\left(-2,-1\right)\ \&\ \left(3,4\right)$

a)

$y=5x-11$

b)

$y=x+1$

c)

$y=x+3$

d)

$y=x-1$

26.

Write the point-slope equation for the line through the point (2,3) with slope $-\frac{3}{2}$

a)

$-3x+y=6$

b)

$y=-\frac{3}{2}x$

c)

$y=-\frac{3}{2}x+6$

d)

$y=\frac{3}{2}x-9$

27.

Find the slope (m) and y-intercept(b) of the line 8x+5y=20.

a)

$m=-\frac{5}{8},b=4$

b)

$m=\frac{8}{5},b=4$

c)

$m=-8,b=20$

d)

$m=-\frac{8}{5},b=4$

28.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

29.

From the equation y = 3x + 18, what is the value of the x-intercept?

a)

-6

b)

6

c)

18

d)

3

30.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

31.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

32.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

33.

Find the area of the following shape

a)

98cm²

b)

108cm²

c)

88cm²

d)

78cm²

34.

Find the missing side length! What is the perimeter?

a)

3cm

b)

33 cm

c)

36 cm

d)

38 cm

35.

2. The figure shows a circle inside a triangle. Which equation could be used to find the area of the shaded region?

a)

A = ½bh - 2πr

b)

A = πr² - ½bh

c)

A = ½bh - πd

d)

A = ½bh - πr²

36.

What is the area of the SHADED region?

a)

16 cm²

b)

20 cm²

c)

8 cm²

d)

12 cm²

37.

Solve the Simultaneous Equations: x+y=5; x-y=1

a)

x=2, y=3

b)

x=3, y=2

c)

x=3, y=-2

d)

x=-3, y=2

38.

Where do these two lines intersect?

a)

No solution

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

39.

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

a)

(-4, -2)

b)

(12, -34)

c)

(4, -18)

d)

(-2, -6)

40.

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

41.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

a)

32

b)

64

c)

127

d)

356

42.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

43.

Which formula would you use to find this missing side?

a)

c² = a² + b²

b)

C = πD

c)

a²= c² - b²

d)

V = lbh

44.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

45.

The formula for the volume of a...

a)

sphere

b)

cone

c)

cylinder

d)

cube

46.

What is the formula for finding volume of a cylinder?

a)

πr²h

b)

πd²h

c)

4/3πr³

d)

π

47.

What is the formula for volume of a cone?

a)

V = π r²

b)

V = π r² h

c)

V = ⅓π r² h

d)

V = ⅓ L W H

48.

Find the volume of the sphere. Use 3.14 for pi.

a)

78.5 m³

b)

392.5 m³

c)

523.3 m³

d)

62.8 cm³

49.

Find the volume of the cone. Use 3.14 for pi.

a)

150.7 cm³

b)

75.4 cm³

c)

452.2 cm³

d)

151 cm³

50.

Find the volume of the cylinder. Use 3.14 for pi.

a)

1177.5 ft³

b)

4712.3 ft³

c)

7069.1 ft³

d)

3534.5 ft³

51.

Write the word sentence as an inequality
a number b is at least -16

a)

b ≥ -16

b)

b ≤ -16

c)

b = -16

d)

b > -16

52.

Solve: |x+5| < 9

a)

-14 < x < 4

b)

x > -14 or x < 4

c)

-4 < x < 4

d)

x > -4 or x < 14

53.

Solve: |x+5| < 9

a)

-14 < x < 4

b)

x > -14 or x < 4

c)

-4 < x < 4

d)

x > -4 or x < 14

54.

Solve -4|x + 1| < -20

a)

x < -6 or x > 4

b)

-6 < x < 4

c)

-4 < x < 4

d)

x < -4 or x > 4

55.

| k - 3 | < -1

a)

No Solution

b)

All Real Numbers

c)

2 < k < 4

d)

k < 2 or k > 4

56.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

57.

What are the zeroes?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2 and x= -2

58.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

59.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

60.

Does the equation Up or or down?

Y = -3x² +7x - 2

a)

up

b)

down

NAFS Gr 9 math

Total questions: 60

Worksheet time: 3hrs 27mins

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