Solving Absolute Value Equations, Graphs and Inequalities

the shaded area is the ...

• maximize

• solution region

• intersection

• boundary line

Tags

CCSS.HSA.REI.D.12

The endpoint of a ray or segment on a number line where an inequality is true.

• boundary point

• boundary line

• solution region

• system of equations

Tags

CCSS.6.EE.B.8

A(n) ________ is a mathematical sentence that contains the symbols <, ≤, >, ≥, or ≠.

Tags

CCSS.6.EE.B.8

___________ is the distance a number is from zero on the number line.

Tags

CCSS.6.NS.C.7C

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0

What is the inequality graphed here? 

• y ≤ | x | + 1

• y ≤ | x + 1 |

• y ≤ .5 | x | + 1

• y ≤ .5 | x + 1 |

x < -6 or x > 26

• no solution

• -6 < x < 26

• x < -6 or x > 26

• all real numbers

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

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

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution