1. 6
2. -17
3. -13
4. -4
5. 0
6. -25
7. 23
8. -26
9. 0
10. 34

Part II
1. 10
2. -6
3. 8
4. 0
5. -9
6. -3
7. -6
8. 11
9. 0
10. 11

Part III
1. -2/2 or -1
2. -1/4
3. 0
4. 1/4
5. -7/11
6. 0.4
7. 3.6
8. -1.5
9. 1.5
10. -1.45

You might also want to answer the exercises on subtraction of integers.

## PCSR Civil Service Exam Review Guide 7

PCSR 2017 CIVIL SERVICE EXAM REVIEW GUIDE 7
Updated: May 20, 2017

PART I: MATHEMATICS

A.1 Videos

A.2 More video tutorials

A.3 Articles

PART II: ENGLISH

A. Vocabulary

Civil Service Exam Vocabulary Review Part 7
Tip: Try to memorize the words and use it in your own words.

B. Spelling

Civil Service Exam Spelling Quiz 7

Enjoy!

## Solving Equations Exercises – Set 1A

Below are exercises on solving equations.

Part I

1. $x + 2 = 10$

2. $x - 7 = -14$

3. $4x = 20$

4. $-3x = 18$

5. $\frac {x}{4} = 20$

6. $\frac {x}{9} = -10$

7. $2x + 1 = 15$

8. $4x - 7 = 13$

9. $-6x + 2 = -14$

10. $3x - 1 = 8$

Part II

1. $9 - x = 17$

2. $4x - 7 = -15$

3. $7x + 36 = 4x$

4. $-2x - 11 = -x$

5. $7x = 5x - 6$

6. $2x - 5 = x + 4$

7. $9x + 6 = 7x - 8$

8. $9 - x = 2 + 6x$

9. $\frac {x}{2} = x + 7$

10. $-\frac {1}{4}x = 3x - 12$

Part III

1. $2(x - 5) = -8$

2. $6(2x - 1) = -8 + x$

3. $3(4 - 3x) = 3x$

4. $5(x- 7) - 2 = x - 1$

5. $4(x - 1) = 3(x + 1)$

6. $7(4 - 2x) = x - 2$

7. $4 - 6(x - 7) = -x - 4$

8. $-\frac {x}{4} = x + 10$

9. $3x + \frac {1}{2} = 12$

10. $\frac {3x}{5} = 4x - 8$

## PEMDAS Exercises – Set 1

Below are exercises on division of signed numbers

Part I

1. $5 + 3 - 2$

2. $9 - 6 + 4$

3. $7 + 4 \times 3$

4. $6 \times (-2) + 3$

5. $2 \times (-9 + 4)$

6. $60 \div (-6 + 2)$

7. $(-3 - 11) \times (-7)$

8. $12 \div 3 \times 5$

9. $4 \times (-1 - 6)$

10. $-5 + (13 - 7) \div 3$

Part II

1. $4 \times (-3 - 5)$

2. $-2 \times (3 + 6)$

3. $(9 - 13) \div (-1)$

4. $(4 + 6)^2 - 7$

5. $(-4)^2 \times (-2)^3$

6. $-3 - 7 \times 2$

7. $3 - (-2) + 8$

8. –$12 - 8 \div 4$

9. $9 - (-4) \times (-4)$

10. $10 \div (-2) - (-3 \times 4)$

Part III

1. $3 - (-2) \times 5$

2. $-4 \times 3 + 6 \times 2$

3. $16 \div (-2) + 12 \div 4$

4. $36 \div (-13 + 4)$

5. $18 \div (-3)^2 + (-4)$

6. $4 \times (-2) + (-3^2)$

7. $3 \times [-4 - (12 - 5)]$

8. $(-3)^2 + 2^3 \div (-4)$

9. $9 - (-4^2) \times (-2)$

10. $-2 \times (-3 \times 2)^2 - (-2)^2$

The solution can be found here.

## Division of Integers Exercises – Set 1

Below are exercises on division of signed numbers. Part I and II are exercises for divison of integers, while part III is an extension to fractions and decimals.

Part I

1.  $12 \div (-3)$

2. $-16 \div 4$

3. $-14 \div (-2)$

4. $15 \div (-3)$

5. $0 \div (-5)$

6. $-18 \div (-1)$

7. $-25 \div 5$

8. $6 \div (-3)$

9. $-8 \div (-4)$

10. $12 \div 2$

Part II

1.  $-34 \div 17$

2.  $45 \div -9$

3. $-56 \div (-8)$

4. $-63 \div 9$

5. $0 \div (-100)$

6. $-54 \div (-9)$

7. $72 \div (-8)$

8. $-50 \div 10$

9. $-17 \div (-17)$

10. $36 \div (-4)$

Part III

1. $\frac {1}{2} \div (- \frac {1}{4})$

2. $-\frac {2}{5} \div(- \frac {3}{4})$

3. $-\frac {3}{4} \div \frac {3}{8}$

4. $\frac {4}{5} \div (-\frac {1}{5})$

5. $-\frac {5}{7} \div \frac {1}{2}$

6. $0.4 \div (-0.2)$

7. $-0.9 \div (-0.3)$

8. $-4.5 \div 0.9$

9. $-0.8 \div 0.2$

10. $0 \div 0.7$

## Multiplication of Integers Exercises – Set 1

Below are exercises on multiplication of signed numbers. Part I and II are exercises for multiplication of integers, while part III is an extension to fractions and decimals. I have written the exercises using the $\times$ notation as well as the parenthesis to familiarize you with both notations.

Solutions and answers can be found here.

Part I

1. $2 \times (-3)$

2. $-4 \times -7$

3. $-9 \times 3$

4. $7 \times 7$

5. $-11 \times 3$

6. $(12)(-4)$

7. $(-6)(-3)$

8. $(9)(0)$

9. $(-5)(3)$

10. $(13)(3)$

Part II

1. $2 \times 3 \times (-4)$

2. $-4 \times 8 \times 1$

3. $-4 \times (-3) \times 3$

4. $-6 \times 2 \times (-5)$

5. $-12 \times 13 \times 0$

6. $(-6)(-1)(2)$

7. $(-5)(8)(3)$

8. $(-7)(-1)(-3)$

9. $(11)(8)(-1)$

10. $(-2)(-1)(7)(3)$

Part III

1. $\frac {1}{2} \times (-\frac {1}{3})$

2. $-\frac {1}{5} \times (-\frac {5}{8})$

3. $-\frac {3}{4} \times \frac {1}{6}$

4. $\frac {2}{7} \times \frac {1}{4}$

5. $-\frac {6}{11} \times \frac {2}{3}$

6. $0.5 \times (-3)$

7. $-0.2 \times (0.4)$

8. $-3 \times (-0.1)$

9. $-0.6 \times (-0.4)$

10. $-0.7 \times 0$

You might also want to practice division of integers.

## Subtraction of Integers Exercises – Set 1

Below are exercises on subtraction of signed numbers. Part I and II are exercises for subtraction of integers, while part III is an extension to fractions and decimals. Solutions and answers can be found here.

Part I

1. 8 – (-7)

2. -4 – (-10)

3. -6 – 8

4. 0 – (-5)

5. -17 – (-13)

6. 0 – 18

7. 12 – 19

8. -11 – 18

9. 21 – (-22)

10. -14 -(-14)

Part II

1. 31 – (-14)

2. -17 – (-11)

3. -19 – 12

4. 0 – (-17)

5. -34 – (-21)

6. 0 – 47

7. 36 – 42

8. -25 – 35

9. 28 – (-30)

10. -45 – (-45)

Part III

1. $\frac {1}{7} - ( -\frac {3}{7})$

2. $- \frac {3}{5} - (- \frac {4}{5})$

3. $-\frac {3}{4} - \frac {1}{4}$

4. $\frac {7}{11} - \frac {9}{11}$

5. $- \frac {5}{12} - (- \frac {5}{12})$

6. 0.4 – (-0.3)

7. -0.8 – (-0.7)

8. -1.2 – 0.4

9. 0.3 – 0.9

10. -0.6 – (-0.6)

You might also want to practice multiplication of integers.

## Addition of Integers Exercises – Set 1

Below are exercises on addition of signed numbers. Part I and II are exercises for addition of integers, while part III is an extension to fractions and decimals. Solutions and answers will be can be found here.

Part I

1. -7 + 13

2. (-8) + (-9)

3. 5 + (-18)

4. 34 + (-38)

5. (-34) + 34

6. 0 + (-25)

7. 5 + (18)

8. -14 + (-12)

9. 13 + (-13)

10. 16 + 18

Part II

1. 13 + 12 + (-15)

2. -18 + (-2) + 14

3. 14 + 8 + (-14)

4. 21 + 7 + (-28)

5. -23 + 0 + 14

6. -19 + 22 + (-6)

7. 32 + (-11) + (-27)

8. 12 + (-11) + 10

9. 11 + (-22) + 21 + (-10)

10. 16 + (-16) + 8 + 3

Part III

1. $\frac {1}{2} + (- \frac {3}{2})$

2. $\frac {1}{4} + (- \frac {2}{4})$

3. $\frac {3}{7} + (-\frac {3}{7})$

4. $- \frac {1}{2} + \frac {3}{4}$

5. $-\frac {4}{11} + (-\frac {3}{11})$

6. 0.7 + (-0.3)

7. 4.8 + (-1.2)

8. -3.7 + 2.2

9. 12.6 + (-11.1)

10. 13.75 + (-15.2)

You might also want to practice subtraction of integers.

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