Free Printable Chapter 1 Revision- Grade 9 ASP

1.

-12 + 7

a)

-19

b)

19

c)

-5

d)

5

2.

(-4)(6)

a)

-24

b)

24

3.

(-6)(5)

a)

30

b)

-30

4.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

5.

14 ÷ (-2)

a)

-12

b)

7

c)

-7

d)

16

6.

-15 + -8 =

a)

23

b)

-23

c)

7

d)

-7

7.

An expert diver is looking for a particular species of fish along the coast line. He dives 22 feet below the surface of the ocean. Then he dives down 7 more feet. He swims back up 14 feet and down another 4 feet before he finds the species of fish he is looking for. What was the depth at which the diver found the fish?

a)

-5 feet

b)

-19 feet

c)

-25 feet

d)

-47 feet

8.

a)

-3 +7 = 10

b)

7 + (-3) = 4

c)

7 + (-10) = -3

d)

10 + (-3) = 7

9.

The temperature at the beginning of the day was 6 degrees F. The temperature dropped 9 degrees F by the end of the day. What was the temperature at the end of the day?

a)

3

b)

-3

c)

15

d)

-15

10.

-25 - (-12) =

a)

13

b)

-13

c)

37

d)

-37

11.

Find the difference between an elevation of 33 feet above sea level and 22 feet below sea level.

a)

11 feet

b)

20 feet

c)

50 feet

d)

55 feet

12.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

13.

When the dividend and the divisor are the same the quotient is_________

a)

Number itself

b)

0

c)

1

d)

None

14.

Division by 0 is not possible.

a)

True

b)

False

15.

When any number is multiplied by 1, the product is __________

a)

1

b)

Number itself

c)

0

d)

None

16.

115÷0=_________

a)

115

b)

0

c)

Not possible

d)

Both a and c

17.

The zoo has two elephants named Sally and Joe. Sally weighs 3,876 pounds and Joe weighs 4,552 pounds. How much more does Joe weigh than Sally?

a)

567

b)

676

c)

776

d)

765

18.

15,987 people went to a football game. 6,879 of those people ate a hotdog. The rest had nachos. How many people ate nachos?

a)

9,108

b)

10,108

c)

1,890

d)

2,980

19.

How many eggs are in 2 dozens?

a)

10

b)

2

c)

12

d)

24

20.

If 0 is divided by any number, quotient is __________

a)

same number

b)

division is not possible

c)

0

d)

1

21.

96,431,250 in words

a)

ninety-six billion, four hundred thirty-one million, two hundred fifty thousand.

b)

ninety-six million, four hundred thirty-one thousand, two hundred fifty.

c)

nine hundred six million, four hundred thirty-one thousand, two hundred fifty.

22.

Menu Card of your School Canteen Reads as:

1. Samosa- Rs10 per piece

2. Cold Drink- Rs 30 per bottle

3. Pastry- Rs15 per piece

4. Maggi- Rs 20 per plate

5. Icecream- Rs10 per stick

6. Pizza(regular)- Rs75 per pizza

You had a party with your friends and ordered 3 pizzas, 6 Coldrinks, 4 samosa, 4 plate Maggi and 2 pastries.

Calculate the total amount to be paid by you for the party.

(a)

23.

If you read 12 pages a daily from a book. How many days will you take to read 180 pages.

a)

15 days

b)

12 days

c)

18 days

d)

180 days

24.

Twenty-nine million, one hundred seventeen thousand in the standard form.

a)

6,29,117

b)

290,117,000

c)

29,117,000

25.

Solve:
5y+34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

26.

Solve: 2(4x - 3) - 8 = 4 + 2x

a)

5/3

b)

3

c)

1

d)

2

27.

-(8n - 2) = 3 + 10(1 - 3n)

a)

n = 1/2

b)

n = -1/2

c)

n = 2

28.

Solve
1/2(s-12)= 1/4(s+ 16)

a)

s = -40

b)

s= 40

c)

s=20

d)

s= -20

29.

30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

30.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

31.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

32.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

33.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

34.

8x - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

35.

a)

x = 5

b)

x = -45

c)

x = -5

d)

x = 4

36.

a)

x = 4/3

b)

x = 3/4

c)

x = 1

d)

x = 1/2

37.

a)

x = 1

b)

x = 2

c)

x = 1/2

d)

x = 3/2

38.

Solve

a)

p = -1

b)

p = -3

c)

p = 13/11

d)

p = 1

39.

What is the "best" first step?

8x-1=3x+5

a)

Subtract the $3x$ from both sides.

b)

Subtract the $8x$ from both sides.

40.

Which is the smaller variable?

-8x+1=2x-9

a)

$-8x$

b)

$2x$

41.

solve for y

y - x = 5

a)

y = 5 + x

b)

y = -5 - x

c)

y = -5 + x

d)

y = 5 - x

42.

solve for R

pV = nRT

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

43.

Rewrite this formula and solve for the variable y. 9x + y = 27

a)

y = 9x - 27

b)

y = 3 / x

c)

y = 3x

d)

y = −9x + 27

44.

Rewrite this formula and solve for the variable y. 7y = −28x - 56

a)

y = −4x + 8

b)

y = 4x + 8

c)

y = −4x - 8

d)

y = 4x - 8

45.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

46.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

47.

Solve for the indicated variable.

a)

A = l/w

b)

w = l/A

c)

w = A

d)

w = A/l

48.

Solve m - n = 5 for m.

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

49.

Solve y - x = 5 for y.

a)

y = 5 + x

b)

y = -5 - x

c)

y = -5 + x

d)

y = 5 - x

50.

Solve x = 3y - 24 for y.

a)

y = (x + 24)/3

b)

y = x/3 + 24

c)

y = 3x + 24

d)

y = 3(x + 24)

51.

Solve -2 = 4x + y for y.

a)

y = -2 + 4x

b)

y = 2 - 4x

c)

y = -2 - 4x

d)

y = 2 + 4x

52.

Solve -3y + 6x = 12 for y.

a)

y = 2x + 4

b)

y = 2x - 4

c)

y = -2x + 4

d)

y = -2x - 4

53.

Solve 2y + 4x = 12 for y.

a)

y = -4x + 12

b)

y = -4x + 6

c)

y = -2x + 6

d)

y = -2x + 4

54.

Solve y - 5x = 11 for y.

a)

y = -5x + 11

b)

y = -5x - 11

c)

y = 5x + 11

d)

y = 5x

55.

Solve x = w / a for w.

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

56.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

57.

When graphing "AND" inequalites, shading looks like___

a)

Shading that always connects the 2 dots.

b)

Shading that always points away from each dot

c)

2 shaded arrows pointing in same direction(both left)

d)

2 shaded arrows pointing in same direction (both right)

58.

When graphing the solutions to "OR" inequalities, The shading looks like___

a)

Shading that connects the 2 dots

b)

Shading that points away and never crosses.

c)

Shading that points toward each other and ALWAYS crosses

d)

Shading that points opposite, but sometimes crosses.

59.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

60.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

61.

Solve:

a)

A

b)

B

c)

C

d)

D

62.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

63.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

64.

2<x+2<5

a)

0<x<3

b)

4<x<7

c)

4<x<3

d)

0<x<7

65.

a)

A

b)

B

c)

C

d)

D

66.

Solve:

a)

A

b)

B

c)

C

d)

D

67.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

68.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

69.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

70.

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > -5 or x ≤ 4

b)

x ≥ -5 or x < 4

c)

x > -5 and x ≤ 4

d)

x ≥ -5 and x < 4

71.

Solve:
3x + 2 < -4 or 4x + 4 > 24

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

72.

Solve:
3x + 2 < -7 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

73.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

74.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

75.

a)

A

b)

B

c)

C

d)

D

76.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

77.

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > -5 or x ≤ 4

b)

x ≥ -5 or x < 4

c)

x > -5 and x ≤ 4

d)

x ≥ -5 and x < 4

78.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

79.

Solve:

a)

A

b)

B

c)

C

d)

D

80.

Solve:

a)

A

b)

B

c)

C

d)

D

81.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

82.

-8<2(x+4) or -3x+4>x-4

a)

No solutions

b)

x<-8 or x<2

c)

x>-8 or x<2

d)

x<-8 and x<2

83.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

84.

a)

A

b)

B

c)

C

d)

D

85.

a)

A

b)

B

c)

C

d)

D

86.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

87.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

88.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

89.

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > -5 or x ≤ 4

b)

x ≥ -5 or x < 4

c)

x > -5 and x ≤ 4

d)

x ≥ -5 and x < 4

90.

Solve:
3x + 2 < -4 or 4x + 4 > 24

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

91.

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

92.

Which is a solution of
5(v + 3) - 10v > -10

a)

v < 5

b)

V > 5

c)

V > -5

d)

v < -5

93.

Solve:
3x + 2 < -7 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

94.

What is the first step?

a)

Get absolute value alone by subtracting 5 from both sides

b)

Get absolute value alone by dividing by 5 on both sides

c)

Split into two equations

95.

What is the first step?

a)

Drop the absolute value bars by splitting into two inequalities

b)

Drop the absolute value bars and subtract 7 from both sides

96.

What is the first step?

a)

Get the absolute value alone by dividing both sides by 5

b)

Drop the absolute value bars and add 7 and 5 together

c)

Get the absolute value alone by subtracting 5 from both sides

97.

Which inequality represents the graph?

a)

-8 < x < -6

b)

x < - 8 AND x > - 6

c)

x < - 8 OR x > - 6

98.

What is the correct way to write this answer?

a)

x < - 8 OR x > - 6

b)

x < - 8 AND x > - 6

c)

-8 < x < 6

99.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

100.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

101.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

102.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

103.

Solve:

a)

{24}

b)

{-6, -8}

c)

{16, 4}

d)

{24, -24}

104.

Evaluate the expression.
|1 - 5|

a)

4

b)

-4

c)

-6

d)

6

105.

| x | ≤ 3.5

a)

No Solution

b)

All Real Numbers

c)

-3.5 ≤ x ≤ 3.5

d)

x ≤ -3.5 or x ≥ 3.5

106.

| 2w - 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

-5 < w < 6

d)

-6 < w < 5

107.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

108.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

109.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

110.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

111.

Which compound inequality involves >,≥ when solving absolute value inequalities?

a)

and

b)

or

112.

Which compound inequality involves <, ≤ when solving absolute value inequalities?

a)

and

b)

or

113.

6(2x -1) ≥ 3(4x + 1)

a)

All Real Numbers

b)

No Solution

c)

x ≥ 3/8

d)

x ≤ -3/8

114.

I 5 I

a)

5

b)

-5

c)

-5 and 5

115.

Evaluate the expression.
|–5| + 8

a)

3

b)

13

c)

-13

d)

-3

116.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

117.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

118.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

119.

What is the first step?

a)

Get absolute value alone by subtracting 5 from both sides

b)

Get absolute value alone by dividing by 5 on both sides

c)

Split into two equations

120.

| x + 2 | > 5

a)

x < - 7 or x > 3

b)

x > 7 or x < 3

c)

x < -7 and x > 3

d)

x > -3 and x < 7

121.

| m - 2 | < 8

a)

m > 8 or m < 9

b)

m < -6 or m > 2

c)

m > -6 and m < 10

d)

0 > m < 0

122.

| 2w - 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

-5 < w < 6

d)

-6 < w < 5

123.

a)

x > 11 or x < 5

b)

x > - 11 or x > 5

c)

5 < x < 11

d)

- 5 < x < 11

124.

a)

- 4 ≤ x ≤ 6

b)

x ≥ - 4 or x ≤ 6

c)

x ≥ 4 or x ≤ - 6

d)

- 4 ≤ x ≤ - 6

125.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

Chapter 1 Revision- Grade 9 ASP

Total questions: 125

Worksheet time: 10hrs 8mins

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