Algebra II College Prep Block 6 - Quiz 03: Solving Absolute Value Equations & Compound Inequalities (with Piece-Wise & Greatest Integer Functions)

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

• <, >
• ≤, ≥ 

Solutions to compound inequalities with an "and" statement must be a solution to....

• both inequality statements
• neither inequality statements
• only one inequality statement
• None of the above are true

Solve for x: -4|x + 5| + 2 = -126

• x = 26 or x = -36

• x = 27 or x = -37

• x = 123 or x = -133

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x: 4|3x - 5| + 20 > 6

• 4/3 < x < 2

• x < 4/3 or x > 2

• x > 14/3 or x < -4/3

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Absolute value is defined as...

• always positive numbers
• negative numbers becoming positive
• distance from zero
• numbers on the number line

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

CCSS.6.NS.C.8

What is always your last step of solving equations with absolute values?

• Your last step depends on the equation.

• Solve for the unknown answer.

• Check your answer.

• Celebrate that you finished the problem!

Tags

CCSS.HSA.REI.A.1

|−2n| + 10 = −50

• r = 30, -30

• r = 20,-20

• r = -5,5

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Write an inequality for Graph 4.

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

• x < 0 or x ≥ 2

• x < 0 or x > 2

• x ≤ 0 or x ≥ 2

• x ≤ 0 or x > 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• a ≥ 4
• a ≥ -4
• a ≤ 4
• a ≤ -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3