Solving Equations and Inequalities

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property
• Commutative Property
• Identity Property
• Associative Property

Tags

CCSS.HSA.REI.A.1

Which property of real numbers was used to get from Step 3 to Step 4?

• Addition Property of Equality
• Subtraction Property of Equality
• Additive Inverse Property
• Substitution Property

Tags

CCSS.HSA.REI.A.1

Which property justifies the work in solving this equation?

• Addition Property of Equality
• Additive Inverse Property
• Identity Property of Addition
• Subtraction Property of Equality

Tags

CCSS.HSA.REI.A.1

Which property was used to get from Step (2) to Step (3)?

• Distributive Property
• Division Property of Equality
• Subtraction Property of Equality
• Substitution Property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which property justifies the work shown?

• Multiplication Property of Equality
• Subtraction Property of Equality
• Division Property of Equality
• Multiplicative Inverse Property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

solve 5(6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

2(2x + 3) = -6(x + 9)

• x = 1.2

• x = 6

• x = -6

• x = 7.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 Solve the equation for x.
-8x - 8 + 3x - 6 = -3x + 2

• x = -8
• x = 8
• x = 2
• x = -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:
3x + 15 = 3(x + 5)

• No Solution
• x = 15
• Infinitely Many Solutions
• x = 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3