Solving Equations and Geometry Concepts

This video tutorial covers solving equations with variables on both sides, applying these concepts to real-world problems like pet care costs and running laps, and understanding equations with no solutions. It also includes isolating variables in perimeter equations.

In the pet care cost problem, what is the hourly rate charged by Sally's Pets?

• $19

• $15

• $1.50

• $22.75

What is the result of dividing both sides of the equation 1.25x = 4 by 1.25?

• x = 3.2

• x = 4

• x = 5

• x = 2.5

What is the first step in solving equations with variables on both sides?

• Multiply both sides by a constant

• Subtract the smaller variable from both sides

• Divide both sides by a constant

• Add the variables on both sides

How do you determine if an equation has no solution?

• When the equation simplifies to zero

• When the same variable results in different constants

• When the equation has a negative constant

• When both sides are equal

In the equation 3V - 8 = 7 + 8V, what is the value of V?

• V = 3

• V = -3

• V = 5

• V = -5

What is the total distance Elaine runs on Wednesdays?

• 2.5 miles

• 5 miles

• 12.5 miles

• 7.5 miles

How many laps does Elaine run on Wednesdays?

• 3 laps

• 4 laps

• 5 laps

• 6 laps

What is the formula for the perimeter of a rectangle?

• P = L * W

• P = 2L + 2W

• P = 2(L + W)

• P = L + W

How do you isolate the width in the perimeter equation of a rectangle?

• Divide both sides by L and add 2

• Multiply both sides by 2 and subtract L

• Add 2L to both sides and multiply by 2

• Subtract 2L from both sides and divide by 2

What is the first step in solving the equation P = 2L + 2W for W?

• Subtract 2L from both sides

• Add 2L to both sides

• Multiply both sides by 2

• Divide both sides by 2