TABLE OF CONTENTS
INTRODUCTION ( FOR PARENTS)
HOW TO USE THIS BOOK
TEXTBOOK
CHAPTER 1 EXPRESSIONS AND SIMPLEST EQUATIONS
LESSON 1 VARIABLES AND ALGEBRAIC EXPRESSIONS 1
LESSON 2 TRANSLATING PHRASES TO ALGEBRAIC EXPRESSIONS 4
LESSON 3 PROPERTIES OF ARITHMETICAL OPERATIONS: 6
ADDITION AND MULTIPLICATION
LESSON 4 PROPERTIES OF ARITHMETICAL OPERATIONS: 8
SUBTRACTION AND DIVISION
LESSON 5 THE DISTRIBUTIVE PROPERTY 10
LESSON 6 THE SIMPLEST EQUATIONS 12
LESSON 7 THE BEST WAY TO SOLVE THE SIMPLEST EQUATIONS 14
LESSON 8 WORD PROBLEMS WITH EQUATIONS OF THE TYPE 16
LESSON 9 SOLVING THE SIMPLEST EQUATIONS WITH MULTIPLICATION 17
AND DIVISION
LESSON 10 SOLVING WORD PROBLEMS WITH MULTIPLICATION 18
AND DIVISION
CHAPTER 2 TWO-STEP EQUATIONS
LESSON 1 SOLVING EQUATIONS WITH DECIMALS 20
LESSON 2 SOLVING EQUATIONS WITH FRACTIONS AND MIXED NUMBERS 21
LESSON 3 SOLVING WORD PROBLEMS WITH FRACTIONAL EQUATIONS 23
LESSON 4 SOLVING TWO-STEP EQUATIONS 25
LESSON 5 TRANSLATING SENTENCES INVOLVING COMBINED OPERATIONS 27
LESSON 6 SOLVING WORD PROBLEMS WITH TWO-STEP EQUATIONS 29
LESSON 7 SIMPLIFYING ALGEBRAIC EXPESSIONS 31
LESSON 8 SOLVING EQUATIONS WITH MORE SIMPLIFYING 33
LESSON 9 SOLVING WORD PROBLEMS 34
LESSON 10 SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES 37
LESSON 11 SOLVING WORD PROBLEMS 39
CHAPTER 3 INTEGERS
LESSON 1 INTEGERS, NUMBER LINE 42
LESSON 2 COMPARING INTEGERS 44
LESSON 3 ADDING INTEGERS 45
LESSON 4 SUBTRACTING INTEGERS 46
LESSON 5 MULTIPLYING INTEGERS 48
LESSON 6 DIVIDING INTEGERS 49
LESSON 7 COMBINED OPERATIONS WITH INTEGERS 50
LESSON 8 WORD PROBLEMS 51
CHAPTER 4 INTEGER EQUATIONS
LESSON 1 SOLVING INTEGER EQUATIONS USING ADDITION AND SUBTRACTION 52
LESSON 2 SOLVING INTEGER EQUATIONS USING MULTIPLICATION AND DIVISION 53
LESSON 3 POSITIVE AND NEGATIVE DECIMALS 54
LESSON 4 ADDING AND SUBTRACTING WITH POSITIVE AND NEGATIVE DECIMALS 56
LESSON 5 MULTIPLYING AND DIVIDING WITH POSITIVE AND NEGATIVE DECIMALS 57
LESSON 6 SOLVING DECIMAL EQUATIONS WITH ALL KIND OF DECIMALS 58
LESSON 7 SIMPLIFYING ALGEBRAIC EXPRESSIONS 59
LESSON 8 SOLVING EQUATIONS USING SEVERAL TRANSFORMATIONS 60
LESSON 9 SOLVING WORD PROBLEMS 62
CHAPTER 5 EQUATIONS WITH RATIONAL NUMBERS
LESSON 1 RATIONAL NUMBERS 64
LESSON 2 COMPARING AND ORDERING RATIONAL NUMBERS 68
LESSON 3 ADDING AND SUBTRACTING WITH LIKE DENOMINATORS 70
LESSON 4 ADDING AND SUBTRACTING WITH UNLIKE DENOMINATORS 72
LESSON 5 ADDING AND SUBTRACTING WITH MIXED NUMBERS 73
LESSON 6 SOLVING EQUATIONS USING ADDITION AND SUBTRACTION 74
LESSON 7 MULTIPLYING RATIONAL NUMBERS 76
LESSON 8 DIVIDING RATIONAL NUMBERS 77
LESSON 9 SOLVING EQUATIONS USING MULTIPLICATION AND DIVISION 78
LESSON 10 SOLVING EQUATIONS WITH TWO OR MORE STEPS 80
LESSON 11 SOLVING WORD PROBLEMS 82
LESSON 12 SOLVING INEQUALITIES 85
LESSON 13 SOLVING INEQUALITIES WITH COMBINED OPERATIONS 87
LESSON 14 WORD PROBLEMS WITH INEQUALITIES 89
CHAPTER 6 RATIO, PROPORTION, AND PERCENT
LESSON 1 RATIO 91
LESSON 2 PROPORTION 92
LESSON 3 SOLVING WORD PROBLEMS USING RATIO AND PROPORTION 95
LESSON 4 PERCENTS 97
LESSON 5 PERCENTS, FRACTIONS, AND DECIMALS 98
LESSON 6 FINDING A PERCENTAGE OF A NUMBER 99
LESSON 7 FINDING A NUMBER WHEN A PERCENTAGE OF IT IS KNOWN 101
LESSON 8 FINDING WHAT PERCENT ONE NUMBER IS OF ANOTHER 102
LESSON 9 WORD PROBLEMS WITH PERCENTS 103
LESSON 10 DISCOUNT, SALE PRICE, AND SALES TAX 105
LESSON 11 INTEREST 106
CHAPTER 7 EXPONENTS
LESSON 1 POWERS AND EXPONENTS 108
LESSON 2 NEGATIVE EXPONENTS 110
LESSON 3 SCIENTIFIC NOTATION 112
LESSON 4 USING SCIENTIFIC NOTATION IN CALCULATIONS 114
LESSON 5 THE ORDER OF OPERATIONS 115
LESSON 6 WORD PROBLEMS 117
LESSON 7 SQUARE ROOTS 118
LESSON 8 SOLVING EQUATIONS USING SQUARE ROOTS 120
WORKBOOK
CHAPTER 1 EXPRESSIONS AND SIMPLEST EQUATIONS
LESSON 1 VARIABLES AND ALGEBRAIC EXPRESSIONS 123
LESSON 2 TRANSLATING PHRASES TO ALGEBRAIC EXPRESSIONS 124
LESSON 3 PROPERTIES OF ARITHMETICAL OPERATIONS:
ADDITION AND MULTIPLICATION 126
LESSON 4 PROPERTIES OF ARITHMETICAL OPERATIONS:
SUBTRACTION AND DIVISION 127
LESSON 5 THE DISTRIBUTIVE PROPERTY 128
LESSON 6 THE SIMPLEST EQUATIONS 129
LESSON 7 THE BEST WAY TO SOLVE THE SIMPLEST EQUATIONS 129
LESSON 8 WORD PROBLEMS WITH EQUATIONS OF THE TYPE 130
LESSON 9 SOLVING THE SIMPLEST EQUATIONS WITH MULTIPLICATION
AND DIVISION 131
LESSON 10 SOLVING WORD PROBLEMS WITH MULTIPLICATION
AND DIVISION 132
CHAPTER 1 TEST 133
CHAPTER 2 TWO-STEP EQUATIONS
LESSON 1 SOLVING EQUATIONS WITH DECIMALS 134
LESSON 2 SOLVING EQUATIONS WITH FRACTIONS AND MIXED NUMBERS 135
LESSON 3 SOLVING WORD PROBLEMS WITH FRACTIONAL EQUATIONS 136
LESSON 4 SOLVING TWO-STEP EQUATIONS 137
LESSON 5 TRANSLATING SENTENCES INVOLVING COMBINED OPERATIONS 138
LESSON 6 SOLVING WORD PROBLEMS WITH TWO-STEP EQUATIONS 139
LESSON 7 SIMPLIFYING ALGEBRAIC EXPRESSIONS 140
LESSON 8 SOLVING EQUATIONS WITH MORE SIMPLIFYING 141
LESSON 9 SOLVING WORD PROBLEMS 142
LESSON 10 SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES 143
LESSON 11 SOLVING WORD PROBLEMS 143
CHAPTER 2 TEST 145
CHAPTER 3 INTEGERS
LESSON 1 INTEGERS, NUMBER LINE 146
LESSON 2 COMPARING INTEGERS 146
LESSON 3 ADDING INTEGERS 147
LESSON 4 SUBTRACTING INTEGERS 147
LESSON 5 MULTIPLYING INTEGERS 148
LESSON 6 DIVIDING INTEGERS 148
LESSON 7 COMBINED OPERATIONS WITH INTEGERS 149
CHAPTER 4 INTEGER EQUATIONS
LESSON 1 SOLVING INTEGER EQUATIONS USING ADDITION AND SUBTRACTION 149
LESSON 2 SOLVING INTEGER EQUATIONS USING MULTIPLICATION AND DIVISION 150
LESSON 3 POSITIVE AND NEGATIVE DECIMALS 151
LESSON 4 ADDING AND SUBTRACTING WITH POSITIVE AND NEGATIVE DECIMALS 152
LESSON 5 MULTIPLYING AND DIVIDING WITH POSITIVE AND NEGATIVE DECIMALS 154
LESSON 6 SOLVING DECIMAL EQUATIONS WITH ALL KIND OF DECIMALS 155
LESSON 7 SIMPLIFYING ALGEBRAIC EXPRESSIONS 155
LESSON 8 SOLVING EQUATIONS USING SEVERAL TRANSFORMATIONS 156
LESSON 9 SOLVING WORD PROBLEMS 157
CHAPTER 4 TEST 158
CHAPTER 5 EQUATIONS WITH RATIONAL NUMBERS
LESSON 1 RATIONAL NUMBERS 159
LESSON 2 COMPARING AND ORDERING RATIONAL NUMBERS 161
LESSON 3 ADDING AND SUBTRACTING WITH LIKE DENOMINATORS 162
LESSON 4 ADDING AND SUBTRACTING WITH UNLIKE DENOMINATORS 164
LESSON 5 ADDING AND SUBTRACTING WITH MIXED NUMBERS 165
LESSON 6 SOLVING EQUATIONS USING ADDITION AND SUBTRACTION 166
LESSON 7 MULTIPLYING RATIONAL NUMBERS 168
LESSON 8 DIVIDING RATIONAL NUMBERS 169
LESSON 9 SOLVING EQUATIONS USING MULTIPLICATION AND DIVISION 170
LESSON 10 SOLVING EQUATIONS WITH TWO OR MORE STEPS 171
LESSON 11 SOLVING WORD PROBLEMS 171
LESSON 12 SOLVING INEQUALITIES 174
LESSON 13 SOLVING INEQUALITIES WITH COMBINED OPERATIONS 175
LESSON 14 WORD PROBLEMS WITH INEQUALITIES 176
CHAPTER 5 TEST 178
CHAPTER 6 RATIO, PROPORTION, AND PERCENT
LESSON 1 RATIO 179
LESSON 2 PROPORTION 180
LESSON 3 SOLVING WORD PROBLEMS USING RATIO AND PROPORTION 182
LESSON 4 PERCENTS 184
LESSON 5 PERCENTS, FRACTIONS, AND DECIMALS 185
LESSON 6 FINDING A PERCENTAGE OF A NUMBER 186
LESSON 7 FINDING A NUMBER WHEN A PERCENTAGE OF IT IS KNOWN 187
LESSON 8 FINDING WHAT PERCENT ONE NUMBER IS OF ANOTHER 189
LESSON 9 WORD PROBLEMS WITH PERCENTS 189
LESSON 10 DISCOUNT, SALE PRICE, AND SALES TAX 191
LESSON 11 INTEREST 193
CHAPTER 6 TEST 195
CHAPTER 7 EXPONENTS
LESSON 1 POWERS AND EXPONENTS 196
LESSON 2 NEGATIVE EXPONENTS 197
LESSON 3 SCIENTIFIC NOTATION 198
LESSON 4 USING SCIENTIFIC NOTATION IN CALCULATIONS 200
LESSON 5 THE ORDER OF OPERATIONS 202
LESSON 6 WORD PROBLEMS 204
LESSON 7 SQUARE ROOTS 205
LESSON 8 SOLVING EQUATIONS USING SQUARE ROOTS 206
CHAPTER 7 TEST 207
ANSWERS
CHAPTER 1 211
CHAPTER 2 214
CHAPTER 3 218
CHAPTER 4 219
CHAPTER 5 222
CHAPTER 6 233
CHAPTER 7 237
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