Week 3 - Compound and Absolute Value Inequalities

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Tags

CCSS.6.NS.C.7C

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.6.EE.B.8

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

When solving this absolute value inequality, what is the first thing you should do?

|x + 4| ≤ 8

• Split it into two possible inequalities: $x\ +\ 4\ \le8\$ and $\ x\ -\ 4\ \ge8$

• Split it into two possible inequalities: $x\ +\ 4\ \le8\ \$ and $\ \ x\ +\ 4\le-8$

• Split it into two possible inequalities: $x\ +\ 4\ \le8\ \ \ \ \$ and $x\ +4\ge-8$

• Split it into two possible inequalities: $x\ -\ 4\ \le8$ and $\ x\ -\ 4\ge-8$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the first step?

• Get the absolute value alone by dividing both sides by 5
• Drop the absolute value bars and add 7 and 5 together
• Get the absolute value alone by subtracting 5 from both sides

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

x + 1 ≤ -3 or -4x < -8

• x ≤ -4 or x > 2

• x ≤ -4 and x > 2

• x ≤ -2 or x > 2

• x ≤ -2 and x > 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

|x - 8| > 12

• x > 20 or x < -4

• x > 20 and x < -4

• x > 4 or x < -20

• x > 4 and x < -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ -3

• x ≤ 7 and x ≤ -3

• x ≥ 7 and x ≤ -7

• x ≤ -7 or x ≥ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Write the inequality statement.

• x > -14 and x < 4

• x > -14 or x < 4

• x ≥ -14 and x ≤ 4

• x ≥ -14 or x ≤ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3