Mastering Math Word Problems

Worded problem: Follow these guided instructions to solve the worded problem below.
a) Assign a variable (name your variable)
b) write expression/s using your assigned variable,
c) formulate your algebraic inequality
d) Solve the algebraic inequality
e) and state your answer.
Worded Inequality problem:
Your math test scores are 68, 78, 90 and 91. What is the lowest score you can earn on the next test and still achieve an average of at least 85?

Montarello and Martins (2005) found that fifth grade students completed more mathematics problems correctly when simple problems were mixed in with their regular math assignments. To further explore this phenomenon, suppose that a researcher selects a standardized mathematics achievement test that produces a normal distribution of scores with a mean of $\mu =100andastandarddeviationof\sigma =24$. The researcher modifies the test by inserting a set of very easy problems among the standardized questions and gives the modified test to a sample of n = 36 students. If the average test score for the sample is M = 120, is this result sufficient to conclude that inserting the easy questions improves student performance? Use a one-tailed test with $\alpha =.05$.
The null hypothesis in words is ?

To explain:The reason why the application problem is a better name than word problem.

Determine whether the statement makes sense or does not make sense, and explain your reasoning.
Find the hardest part in solving a word problem is writing the equation that models the verbal conditions.

Your math instructor tells you that next weeks

How many different letter arrangements can be made from the letters in the word MATHEMATICS?

Write an equation that models this situation.
A market fills each of 20 containers with 3 pounds of grapes. How many pounds of grapes (P) are needed to fill the 20 containers?

To find:The number of students took at least one online college cource in 2012, using the given model, Number of students $=0.0112x^2+0.4663x+1.513$.

In DISCRETE MATHEMATICS & APPLICATIONS Write a note about application of mathematical induction in daily life. Give two examples (150 words).

A farmer has a vegetable garden which is 35 feet wide by 80 feet long. The farmer wishes to divide the garden equally between tomatoes, peppers, and cabbage. However, the farmer would like to keep a one-foot border around the garden free for a fence. How many square feet can be used for the tomato planting?

Math word problem that states t-shirts are $10 each and sweatshirts are $15 each, if 100 items were sold and they raised $1120, how many sweatshirts were sold, how would i set up this problem

a.)Explain in your own words what this problem is asking.
b.)Explain the meaning of any notation used in the problem and in your solution.
c.)Describe the mathematical concept(s) that appear to be foundational to this problem.
d.)Justified solution to or proof of the problem.
Find the greatest common divisior of a,b, and c and write it in the form ax+by+cz for integers x,y, and z.
a=26,b=52,c=60