Solving Linear Equations and Functions

The video tutorial covers eighth-grade math topics, focusing on equations representing functions. It includes analyzing equations that describe the same function, graphing linear equations with no solutions, creating and rearranging cost equations, and solving equations using the distributive property. The tutorial concludes with a call to action for viewers to engage with the content.

What happens to the equation 72x + 12y = 60 when all terms are multiplied by 10?

• The equation becomes 720x + 120y = 600.

• The equation becomes 72x + 12y = 600.

• The equation becomes 720x + 12y = 60.

• The equation becomes 72x + 120y = 60.

If 72x is moved to the other side of the equation and divided by 12, what is the resulting term?

• -6x

• -72x

• 72x

• 6x

Which of the following equations does not represent the same function as the original equation 72x + 12y = 60?

• 72x + 12y = 60

• 12x + 2y = 10

• x = 5/6 + y/6

• y = 5 + 6x

What is the y-intercept of the line y = m + 3?

• 6

• 3

• 1

• 0

How much does brown rice cost per pound in the given problem?

• $3.00

• $1.00

• $2.00

• $1.60

What is the equation for the number of pounds of rice (r) in terms of beans (b)?

• r = 5 - 0.8b

• r = 5 + 0.8b

• r = 10 - 1.6b

• r = 10 + 1.6b

What is the solution for x in the equation 12 - 6x = 6x + 6?

• x = 2

• x = 1

• x = -1

• x = 0

What is the value of z in the equation 4z + 5 = -3z - 8?

• z = -13/7

• z = 13/7

• z = -7/13

• z = 7/13

What is the common denominator used to solve the equation involving q?

• 12

• 6

• 4

• 8

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