Question

Look at the value for x in the chart. Choose two expressions and set them equal to each other to make an equation if the equation is true keep the equation. If the equation is not true, change one of the expressions and make a new equation until the equation is true when the x value is substituted into the equation.

a) True
b) False

Answer 1

The question deals with creating equations using known and unknown values, where x is typically the independent variable. Set equations equal to each other, substitute the value for x, and determine if the equation is true. If not, adjust the equation until it becomes true.

Step-by-step explanation:

The question pertains to creating and solving equations by substituting a given value for the variable x, and then determining if the equation holds true.

Steps for Solving the Problem

1. Identify the unknown.
2. Identify the knowns.
3. Choose an appropriate equation.
4. Substitute the known values into the equation and solve for the unknown.

For example, if you are given two expressions, say ax + b and cx + d, and you are asked to find out if they are equal for a particular value of x (= a and b are constant numbers, and c and d are another set of constants), you would set ax + b equal to cx + d and substitute the value of x to check if the equation holds.

If the equation is not true, you would need to use another expression or change the constants to make a new true equation. In the case of a quadratic equation (ax² + bx + c = 0), the value of x must satisfy the quadratic formula to result in a true statement.

Remembering the physical principles underlying these equations is crucial to ensure that your solutions make sense in the given context.