Holt McDougal Algebra 1 Solving Two-Step and Multi-Step
Inequalities Solving Two-Step and Multi-Step Inequalities Holt
Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation
Lesson Quiz Lesson Quiz Holt McDougal Algebra 1 Slide 2 Solving
Two-Step and Multi-Step Inequalities Warm Up Solve each equation.
1. 2x 5 = 17 2. Solve each inequality and graph the solutions. 4.
3. 5 < t + 9 6 14 t > 4 a 8 Slide 3 Holt McDougal Algebra 1
Solving Two-Step and Multi-Step Inequalities Solve inequalities
that contain more than one operation. Objective Slide 4 Holt
McDougal Algebra 1 Solving Two-Step and Multi-Step Inequalities
Inequalities that contain more than one operation require more than
one step to solve. Use inverse operations to undo the operations in
the inequality one at a time. Slide 5 Holt McDougal Algebra 1
Solving Two-Step and Multi-Step Inequalities Check It Out! Example
1a Solve the inequality and graph the solutions. 12 3x + 6 6 18 3x
6 x Since 6 is added to 3x, subtract 6 from both sides to undo the
addition. Since x is multiplied by 3, divide both sides by 3 to
undo the multiplication. 10 8 64 2 0246810 Slide 6 Holt McDougal
Algebra 1 Solving Two-Step and Multi-Step Inequalities Check It
Out! Example 1b Solve the inequality and graph the solutions. x
< 11 5 x + 5 < 6 20 1284 16 0 11 Since x is divided by 2,
multiply both sides by 2 to undo the division. Change > to Holt
McDougal Algebra 1 Solving Two-Step and Multi-Step Inequalities
Check It Out! Example 2a Solve the inequality and graph the
solutions. 5 > 5 2m > 20 m > 10 Since 5 is added to 2m,
subtract 5 from both sides to undo the addition. Simplify 5 2.
Since m is multiplied by 2, divide both sides by 2 to undo the
multiplication. 0246810 12 14 16 18 20 2m + 5 > 5 2 2m + 5 >
25 Slide 10 Holt McDougal Algebra 1 Solving Two-Step and Multi-Step
Inequalities Check It Out! Example 2b Solve the inequality and
graph the solutions. 3 + 2(x + 4) > 3 3 + 2x + 8 > 3 2x + 11
> 3 11 2x > 8 x > 4 Distribute 2 on the left side. Combine
like terms. Since 11 is added to 2x, subtract 11 from both sides to
undo the addition. Since x is multiplied by 2, divide both sides by
2 to undo the multiplication. 10 8 64 2 02468 10 Slide 11 Holt
McDougal Algebra 1 Solving Two-Step and Multi-Step Inequalities
Check It Out! Example 2c Solve the inequality and graph the
solutions. 5 < 3x 2 +2 + 2 7 < 3x Multiply both sides by 8,
the LCD of the fractions. Distribute 8 on the right side. Since 2
is subtracted from 3x, add 2 to both sides to undo the subtraction.
Slide 12 Holt McDougal Algebra 1 Solving Two-Step and Multi-Step
Inequalities Check It Out! Example 2c Continued Solve the
inequality and graph the solutions. 7 < 3x 468 2 10 0 Since x is
multiplied by 3, divide both sides by 3 to undo the multiplication.
Slide 13 Holt McDougal Algebra 1 Solving Two-Step and Multi-Step
Inequalities Check It Out! Example 3 The average of Jim s two test
scores must be at least 90 to make an A in the class. Jim got a 95
on his first test. What grades can Jim get on his second test to
make an A in the class? Let x represent the test score needed. The
average score is the sum of each score divided by 2. First test
score plus second test score divided by number of scores is greater
than or equal to total score (95 + x) x) 2 90 Slide 14 Holt
McDougal Algebra 1 Solving Two-Step and Multi-Step Inequalities
Check It Out! Example 3 Continued The score on the second test must
be 85 or higher. Since 95 is added to x, subtract 95 from both
sides to undo the addition. 95 + x 180 95 x 85 Since 95 + x is
divided by 2, multiply both sides by 2 to undo the division. Slide
15 Holt McDougal Algebra 1 Solving Two-Step and Multi-Step
Inequalities Check Check It Out! Example 3 Continued Check the end
point, 85. Check a number greater than 85. 90.5 90 90 Slide 16 Holt
McDougal Algebra 1 Solving Two-Step and Multi-Step Inequalities
Lesson Quiz: Part I Solve each inequality and graph the solutions.
1. 13 2x 21x 4 2. 11 + 2 < 3p p > 3 3. 2 3 < 2(3 t) t >
7 4. Slide 17 Holt McDougal Algebra 1 Solving Two-Step and
Multi-Step Inequalities Lesson Quiz: Part II 5. A video store has
two movie rental plans. Plan A includes a $25 membership fee plus
$1.25 for each movie rental. Plan B costs $40 for unlimited movie
rentals. For what number of movie rentals is plan B less than plan
A? more than 12 movies
