Is 0 a solution to \(2x+10 = 4x+10\)? Explain or show your reasoning.

Kiran says that a solution to the equation \(x + 4 = 20\) must also be a solution to the equation \(5(x + 4)= 100\).

Write a convincing explanation as to why this is true.

The entrepreneurship club is ordering potted plants for all 36 of its sponsors. One store charges \$8.50 for each plant plus a delivery fee of \$20. The equation \(320 = x + 7.50(36)\) represents the cost of ordering potted plants at a second store.

What does the \(x\) represent in this situation?

Which equation is equivalent to the equation \(5x + 30 = 45\)?

The environmental science club is printing T-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of \$20. 

If the T-shirt order costs a total of \$162.50, how much does the company charge for each shirt?

The graph shows the relationship between temperature in degrees Celsius and temperature in degrees Fahrenheit.

Graph of a line, origin O. Horizontal axis, degrees Fahrenheit, scale is 0 to 240 by 10’s. Vertical axis, degrees Celsius, scale is 0 to 120 by 10’s. Line starts at 32 comma 0, passes through 50 comma 10, 140 comma 60, and 230 comma 110.

1. Mark the point on the graph that shows the temperature in Celsius when it is 60 degrees Fahrenheit.
2. Mark the point on the graph that shows the temperature in Fahrenheit when it is 60 degrees Celsius.
3. Water boils at 100 degrees Celsius. Use the graph to approximate the boiling temperature in Fahrenheit, or to confirm it, if you knew what it is.
4. The equation that converts Fahrenheit to Celsius is \(C = \frac59 (F-32)\). Use it to calculate the temperature in Celsius when it is 60 degrees Fahrenheit. (This answer will be more exact than the point you found in the first part.)

Diego’s age, \(d\) is 5 more than 2 times his sister’s age, \(s\). This situation is represented by the equation \(d = 2s + 5\). Which equation is equivalent to the equation \(d = 2s + 5\)?