Match each absolute value sentence with its equivalent compound sentence
1. |x - 5| = 4
2. |x - 5| < 4
3. |x - 5| > 4
4. |2x + 3| < 8
5. |2x + 3| > 8

a. -4 < x - 5 < 4
b. -8 < 2x + 3 < 8
c. x - 5 = 4 or x - 5 = -4
d. x - 5 > 4 or x - 5 < -4
e. 2x + 3 > 8 or 2x + 3 < -8

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =

Points a, b, and c form a triangle. complete the statements to prove that the sum of the interior angles of triangle abc is 180