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Today:• C5 Test• Grade
Reports/Goal Evaluation
• 6.1 Instruction• Practice
No trumpets sound when the important decisions of our life are made. Destiny is made known silently.
Agnes DeMille
Algebra 1
Algebra 1
Assignment:• PSAE Worksheet
#4 – Show work on all problems.
No trumpets sound when the important decisions of our life are made. Destiny is made known silently.
Agnes DeMille
Algebra 1
Objectives:
1. Graph linear equations on a number line.
2. Solve one-step linear inequalities
Vocabulary: linear inequalities, equivalent inequalities
Solving One-Step Linear Inequalities
6.1
Vocabulary: linear inequality – an inequality where the variable has a power of 1, but not in a denominator, square root or absolute value symbols (<, <, >, >)
Solving One-Step Linear Inequalities
6.1
x < 5 x2 < -1x > 0
x = 4x < -1
2x < -1x > 5x
|x| < 12
x + y > -3
Vocabulary: linear inequality – an inequality with the variable has a power of 1, but not in a denominator, square root or absolute value symbols (<, <, >, >)equivalent inequalities – inequalities that have same solutions
Solving One-Step Linear Inequalities
6.1
x < 5 2x < 10 x + 1 < 6
Vocabulary: linear inequality – an inequality with the variable has a power of 1, but not in a denominator, square root or absolute value symbols (<, <, >, >)equivalent inequalities – inequalities that have same solutions
The graph of a linear inequality in a one variable is the set of points on a number line that are solutions on the inequality.
Solving One-Step Linear Inequalities
6.1
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
Graph the following inequalities on a number line:
1.x > 4
2.x < -6
3.x > 1
4.x < 7
Example 1 Graph Linear Inequalities
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
Review: Solving equations:1. x + 8 = 12
2. -2x = 20
3. x – 12 = 10
4.
5.
Solving One-Step Linear Inequalities
6.1
75-x
8x32
x = 4
x = -10
x = 22
x = -35
x = 12
Solving Inequalities:1. x + 8 > 12
2. -2x < 20
3. x – 12 < 10
4.
5.
Solving One-Step Linear Inequalities
6.1
75-x
8x32
x > 4
x > -10
x < 22
x < 35
x > 12
10 > 5-10 -5<
-1·10 > 5 · -1
Inequality Rule:
Multiply or divide by a negative, then switch the sign!
Solve the inequality and graph the solution:
1.x + 5 > -4
2.2x < 14
3. -2x < -6
4.
Example 2 Solve and Graph the Inequality
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
0 1 2 3 4 5 6 7 8 9 10 11-3 -2 -1-4-5-6-7-8-9-10-11
6x53
Example 3 Real Life Inequalities
If you scored a 78% on your last test, write an inequality that shows what you have to score to do better on the next one.
x > .78
Example 3 Real Life Inequalities
If 4 gallons of water weighs more than 33 lb, then write an inequality for the weight on 1 gallon of water?
g > 8.25 lb
Assignment:
6.1 p337 #6-21, …6.1
What is the rule concerning multiplying and dividing on both sides of an inequality?
Inequality Rule:
Multiply or divide by a negative, then switch the sign!
Assignment:• 6.1 p337 #6-21,
23-53 odd, 62 – 65• C5 Progress
Report• Goal Evaluation
No trumpets sound when the important decisions of our life are made. Destiny is made known silently.
Agnes DeMille
Algebra 1
