# Tutor profile: Matthew M.

## Questions

### Subject: Basic Math

Place the numbers in order from least to greatest. 0.6, 3/8, 55%, 7/16, 0.56

These numbers are listed in a variety of formats. In order to better compare them directly, convert them all to a single format. For example, if I convert them all to decimals, I can compare them directly, especially if I assign them the same number of place values. 0.6, 3/8, 55%, 8/16, 0.56 0.600, 0.375, 0.550, 0.500, 0.560 I converted the fractions to decimals by dividing the numerator (top number) by the denominator (bottom number). Percentages can be converted to decimals by moving the decimal point two place values to the left. Now, the numbers can be compared directly and placed in order from least to greatest. 3/8, 8/16, 55%, 0.56, 0.6

### Subject: Education

When writing an assessment, what are some elements to consider?

There are a variety of elements to consider when constructing an assessment. -Which standards are you covering? -Is there a variety in the depth of knowledge covered? -Is there a "stretch" in the difficulty levels of the questions? -Are the distracters feasible answers? -Does a wrong answer choice give the educator information on misconceptions?

### Subject: Algebra

The cost of making x pizzas is represented by 6x + 3. The cost of making x salads is 1 + 4x. Write a polynomial that represents how much more it costs to make x pizzas than x salads.

In order to solve this problem, the first step is to recognize we are looking for the difference between the two costs. The difference is a solution to a subtraction problem, so we will need to line up our like terms and subtract. It is important to subtract the variables from variables, and the constant from the constant. 6x + 3 - 4x + 1 6x - 4x=2x and 3 - 1 = 2 The polynomial that is the solution to the problem is 2x + 2

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