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8/12/2019 Pre Algebra Lesson 6 7
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6-7 Solving Equations and
Inequalities
Objective: Solve equations and
inequalities containing rationalnumbers.
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5-Minute Quiz
Find the mean, median, and mode for each set of data.
When necessary, round to the nearest tenth.
1. 52, 35, 63, 44, 23, 44, 52, 90, 44, 51
2. $17,500; $25,900; $87,500; $34,200; $19,500
3. 6, 7, 3, 3, 3, 6, 7, 4, 9, 1, 6, 6, 4
4. 1.5, 2.5, 1.9, 2.7, 1.7, 3.1, 6.0, 5.4
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5-Minute Quiz
Answers:
1. Mean, 49.8; median, 47.5; mode, 44
2. Mean, $36,920; median, $25,900; no mode
3. Mean, 5; median, 6; mode, 6
4. Mean, 3.1; median, 2.6; no mode
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6-7 Solving Equations and
InequalitiesTo solve an equation or inequality that involves
division, multiply each side by the same
number to get the variable by itself.
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8/12/2019 Pre Algebra Lesson 6 7
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6-7 Solving Equations and
InequalitiesExample 1
Solve z/10= 1.5
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6-7 Solving Equations and
InequalitiesExample 1
Solve z/10= 1.5z/10= 1.5
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6-7 Solving Equations and
InequalitiesExample 1
Solve z/10= 1.5z/10= 1.5
10 * z/10= 1.5 * 10 Multiply both sides by 10.
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6-7 Solving Equations and
InequalitiesExample 1
Solve z/10= 1.5z/10= 1.5
10 * z/10= 1.5 * 10
z = 15
Multiply both sides by 10.
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6-7 Solving Equations and
InequalitiesWhen you multiply or divide each side of an
inequality by a negative number, you must
reverse the inequality sign.
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
3.5y > 30.1
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
3.5y > 30.1
3.5y
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
3.5y > 30.1
3.5y
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
3.5y > 30.1
3.5y
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
3.5y > 30.1
3.5y 30.1
Divide each side by
3.5 and reverse
the order symbol.
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
3.5y > 30.1
3.5y 30.1
(-3.5)(-10) >? 30.1
35 > 30.1
Divide each side by
3.5 and reverse
the order symbol.
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6-7 Solving Equations and
InequalitiesExample 2
Solve3.5y > 30.1
3.5y > 30.1
3.5y 30.1
(-3.5)(-10) >? 30.1
35 > 30.1 (checks)
Divide each side by
3.5 and reverse
the order symbol.
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6-7 Solving Equations and
Inequalities
Assignment:12 - 32 even, 33 - 42 all
