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Ch 1 Connections to Algebra -variables, exponents and powers, order of operation, equations and inequalities, tables and graphs Ch 2 Properties of Real Numbers -addition, subtraction, multiplication, division, matrices, probability and odds Ch 3 Solving Linear Equations
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Ch 1 Connections to Algebra -variables, exponents and powers, order of operation, equations and inequalities, tables and graphs Ch 2 Properties of Real Numbers -addition, subtraction, multiplication, division, matrices, probability and odds Ch 3 Solving Linear Equations -adding and subtracting, multiplying and dividing equations, decimal equations, formulas, rates, ratios, percents Ch 4 Graphing Linear Equations and Functions -coordinates and scatter plots, quick graphs with intercepts, slope, direct variation, quick graphs using slope-intercept, solving equations by graphing, functions and relations Ch 5 Writing Linear Equations -using slope-intercept form, given slope and a point, given two points, best fitting line, point-slope form, standard form, predicting with linear models
Ch 6 Solving and Graphing Linear Inequalities See p384-386 for preview 6.1 Solving One-Step Linear Inequalities
Solving one-step linear inequalities Solve x + 8 > 1 and graph the solution Solve 3 < m – 5 and graph the solution
When you multiple or divide by a negative number, you must reverse the sign.
6.2 Solving Multi-step Linear Inequalities 5x – 3 > 12 -3x + 1 < 22 -x + 1 < 3x + 21
-5<2x + 3 < 7 6x – 5 < 7 or 8x + 1 > 25 Solve -3 < -1 – 2x< 5
The park is 1 ½ miles from your house. The mall is 2 ¼ miles from your house: • Find the minimum distance between the park and the mall. • b. Find the maximum distance between the park and the mall. • c. Write and inequality that describes the possible distances d between the park and the mall.
No two sides when added together can be shorter than the 3rd side. No one side can be longer than the other two sides added together. x < s1 and s2 long side< x + short side long side < other two sides, and x < other two sides 47. 7 ½ < x + 3 ¼ and x < 3 ¼ + 7 ½ 4 ¼ < x and x < 10 ¾ 4 ¼ < x < 10 ¾ 48. 11.75 < x + 5.5 and x < 5.5 + 11.75 6.25 < x and x < 16.25 6.25 < x < 16.25
6.4 Solving Absolute-value Equations and Inequalities • Solve |x-4|=8 2) Solve |5x+1|+3 =14
4) Solve |3x-3|+4 > 10 3) Solve|x+6|< 8
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6.1 Solving One-Step Linear Inequalities x + 8 > 1 6.2 Solving Multi-step Linear Inequalities 5x – 3 > 12 6.3 Solving Compound Inequalities -5<2x + 3 < 7 6.4 Solving Absolute-value Equations and Inequalities |x-4|=8 |5x+1|+3 =14 6.5 Graphing Linear Inequalities in Two Variables
6.5 Graphing Linear Inequalities in Two Variables > or < use dashed line; > or < use solid line
Graph x < -2 Graph y < 1 Graph x + y > 3