Exploring Solutions in 8th Grade Math

The video tutorial explains how to determine the number of solutions for equations, whether it's one solution, no solution, or infinitely many solutions. It provides examples for each case, demonstrating the process of solving equations and identifying the type of solution. The tutorial emphasizes the importance of combining like terms and distributing correctly to solve equations effectively.

What are the possible types of solutions for an equation?

• One solution, no solution, or infinitely many solutions

• One solution, two solutions, or no solution

• One solution, two solutions, or infinitely many solutions

• No solution, two solutions, or infinitely many solutions

In the example 15(20 + D) = 420, what is the value of D?

• 9

• 7

• 6

• 8

Tags

CCSS.7.EE.B.4A

What does it mean if an equation has no solution?

• The equation has no possible value that satisfies it.

• The equation has multiple solutions.

• The equation has infinitely many solutions.

• The equation has one specific solution.

Tags

CCSS.8.EE.C.7A

In the equation 3x + 4 = 3x, what is the result after combining like terms?

• 4 = 0

• 3x = 4

• 4 = 4

• 3x = 3x

Tags

CCSS.8.EE.C.7A

What is the symbol for a null set or empty set?

• Ø

• ∞

• ∅

• ∑

What does it mean if an equation is an identity?

• It has two solutions.

• It has one solution.

• It has infinitely many solutions.

• It has no solution.

Tags

CCSS.8.EE.C.7A

In the example 4x + 2 = 4x + 2, why is there no need to solve further?

• Because it has two solutions.

• Because it has infinitely many solutions.

• Because it has one solution.

• Because it has no solution.

Tags

CCSS.8.EE.C.7A

In the equation 6(x - 3) + 10 = 2(3x - 4), what is the simplified form after distribution?

• 6x - 18 + 10 = 6x - 8

• 6x - 18 + 10 = 6x + 8

• 6x - 18 + 10 = 6x - 4

• 6x - 18 + 10 = 6x + 4

Tags

CCSS.6.EE.A.3

In the equation 8(4 - 2x) = 4(3 - 5x) + 4x, what is the result after combining like terms?

• 32 - 16x = 12 - 20x

• 32 - 16x = 12 - 4x

• 32 - 16x = 12 - 16x

• 32 - 16x = 12 + 4x

What is the final conclusion for the equation 8(4 - 2x) = 4(3 - 5x) + 4x?

• It has no solution.

• It has two solutions.

• It has one solution.

• It has infinitely many solutions.

Tags

CCSS.8.EE.C.7A