Huether's Algebra 1 Chapter 3 Review

AV Equations

100

|x - 5| = 0

x = 5

200

|2x + 8| + 10 = 4

no solution

300

|4x − 10| = 22

x = 8 

x = -3

400

−8 + |6x − 9| = 25

x = 7

x = -4

500

|3x - 4 + 4x| - 6 = 3

x = -5/7

x = 13/7

Solving Inequalities

100

5x - 8x + 6 > 24

x < -6

200

-5(2x - 9) ≤ 20

x ≥ 5/2

300

3x − 5 ≤ x + 11

x ≤ 8

400

4x + 2 − x ≤ 5x − 22

12 ≤ x or x ≥ 12

500

x + 4(x − 1) < 7 − 2x + 3

x < 2

Compound Inequalities

100

x + 3 < 7 and x − 2 > −5

−3 < x < 4

x < 4 and x > -3

200

−2 ≤ 3x−1 < 5

−1/3 ≤ x < 2

300

Solve

2 − x ≤ 5 and 2x + 1 ≥ −8 

x ≥ −3 and x ≥ −4.5

400

Solve

4x ≤ x or 3x < 6

x ≤ 0  or x < 2

500

Solve

4x + 6 ≤ 2 or −7 + 6x > 17

x ≤ −1 or x > 4

AV Inequalities

100

|2x − 7| < 3

2 < x < 5

x < 5 and x > 2

200

|3x + 2| ≥ 0

All Real Numbers

300

|8x + 11| > 13

x < −3 or x > 1

400

2|x − 4| + 1 > 7

x < 1 OR x > 7

500

|7x + 9 - 6x| > 8

x < -17 or x > -1 

Miscellaneous

100

What color is a giraffe's tongue?

Black

200

What is the highest-grossing film of all time?

Avengers Endgame

300

What is the only continent without an active volcano?

Australia

400

Which American president is in the Wrestling Hall of Fame?

Abraham Lincoln

500

What sporting event is held every Memorial Day?

INDY 500