Solving Linear Equations and Inequalities

What is the first step in solving the inequality 4X - 9 < 7X + 15?

• Divide both sides by 4

• Subtract 7X from both sides

• Multiply both sides by -1

• Add 9 to both sides

Tags

CCSS.6.EE.B.8

What should you remember to do when dividing both sides of an inequality by a negative number?

• Flip the inequality sign

• Multiply both sides by -1

• Add the same number to both sides

• Subtract the same number from both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the solution to the inequality 4X - 9 < 7X + 15?

• X > 8

• X < 8

• X > -8

• X < -8

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

What is the first step in solving the equation 6(3X - 2) = -4(2X - 9)?

• Divide both sides by 6

• Distribute the multiplication on each side

• Add 2 to both sides

• Subtract 3X from both sides

Tags

CCSS.6.EE.A.3

What is the result of distributing 6(3X - 2)?

• 6X - 2

• 18X + 12

• 18X - 12

• 6X + 2

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

What is the simplified form of the equation after distributing and combining like terms: 6(3X - 2) = -4(2X - 9)?

• 18X + 12 = -8X - 36

• 18X - 12 = -8X + 36

• 18X + 12 = 8X - 36

• 18X - 12 = 8X + 36

Tags

CCSS.6.EE.A.3

What is the solution to the equation 6(3X - 2) = -4(2X - 9)?

• X = 24/13

• X = 26/48

• X = 48/26

• X = 13/24

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What is the least common denominator (LCD) for the fractions in the equation 2/3X + 4 = 4/5X - 3?

• 5

• 30

• 3

• 15

Tags

CCSS.6.NS.B.4

What is the simplified form of the equation after clearing the fractions: 2/3X + 4 = 4/5X - 3?

• 10X + 60 = 12X - 45

• 10X - 60 = 12X + 45

• 10X + 60 = 12X + 45

• 10X - 60 = 12X - 45

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What is the solution to the equation 2/3X + 4 = 4/5X - 3 after clearing the fractions and solving?

• X = 105

• X = 52.5

• X = -105

• X = -52.5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.NS.A.1