Solving Equations and Functions

The video is a test review for grade 8 mathematics, covering various problems involving solving equations, analyzing systems of equations, and graph analysis. It includes step-by-step solutions and error identification, with a focus on understanding mathematical concepts and applying them to real-world scenarios.

What was the mistake made in the initial solution of the equation 2/5b + 1 = -11?

• The subtraction of 1 was incorrect.

• The multiplication by 5 was incorrect.

• The addition of 1 was incorrect.

• The division by 2 was incorrect.

When solving the equation -3w - 4 = w + 3, what is the first step?

• Divide by -3.

• Subtract w from both sides.

• Add 3w to both sides.

• Add 4 to both sides.

In the equation 3(3 - (3 - 3x)) = 2(x + 3) - 30, what should be done first?

• Add 30 to both sides.

• Distribute the 3 on the left side.

• Subtract 2x from both sides.

• Combine like terms.

What does it mean if an equation simplifies to a true statement like -4 = -4?

• There are infinite solutions.

• The equation is invalid.

• There is one unique solution.

• There are no solutions.

If an equation simplifies to a false statement like -6 = 3, what does it indicate?

• There is one unique solution.

• The equation is invalid.

• There are no solutions.

• There are infinite solutions.

How can you determine when Diego and Lin have the same amount of money?

• By comparing their initial amounts.

• By finding when their savings are equal.

• By calculating when their spending is equal.

• By solving the system of equations for their savings.

What is the equation for Diego's savings over time?

• y = 11x + 5

• y = 2x + 60

• y = 60x - 2

• y = 5x + 11

In the graph analysis, what does the intersection point of two lines represent?

• The maximum value of one variable.

• The point where both conditions are met.

• The starting point of the graph.

• The average of both variables.

What is the cost of 10 pounds of zucchini if it costs $1.50 per pound?

• $15

• $25

• $20

• $10

How many 6-player games can be played if there are 48 players available?

• 6 games

• 7 games

• 8 games

• 9 games