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Day 1
There is no journal entry required today.
Day 2
Using x + 12 = 3 as an example, explain the steps necessary to solve for x. How would the steps differ in solving for x in the equation x - 12 = 3?
Day 3
In solving the equation -3x = 27, your friend gets the solution x 9. Describe how you would show your friend the error and how you would correct it.
Day 4
Write a paragraph to explain how the equation 6x = 18 can be solved by multiplication and how it can be solved by division.
Day 5
Explain two steps that are required to solve two-step equations. You may want to refer to the equations 3y - 8 = 7 and x/2 + 4 = 10 as examples. Consider the similarities and differences between these equations. Are the two steps always the same or are they sometimes different?
Day 6
When solving two step equations, you perform the addition or subtraction first and then the multiplication or division. How does this order compare with the order of operations? Explain any similarities or differences that you observe, and give some reasons that may explain them.
Day 7
Write a two-operation equation involving addition and division that has -8 as its solution. Then write a two-operation equation involving subtraction and multiplication that has 7 as its solution.
Day 8
Describe a real world situation to model each equation below:
- x + 35 = 180
- 145 - x = 118
- y - 12.4 = 4.8
Day 9
There is no journal entry required today.
Day 10
There is no journal entry required today.
Day 11
Explain the errors made in each of the following situations. Be sure to show the necessary corrections in your response.
- 3(x+7) = 3x + 7
- 4y + 2w = 6yw
- 8a - 3a = 5
- (6y + 3) - (2y - 1) = 4y + 2
Day 12
Three students simplify the expression 3p - 4p. They get -1, -p, -1p. State which answers are correct and explain why.
Day 13
Compare solving equations with solving inequalities. How are the processes similar? How are they different?
Day 14
What terms in a word problem tell you that the problem should be solved with an inequality instead of an equation?
Day 15
Nate is a student who transferred to your school and into your algebra class. He does not understand why some inequality problems have answers with solid dots on the graphs and others have open dots on the graphs. Using x <-4 and x > 2 as examples, write an explanation for him. Graph this inequality.
Day 16
Using the inequality |y - 9|< 4, explain the steps for solving an absolute value inequality.
Day 17
Two of your classmates are having an argument. Manuel says that every relation is a function, but Sandy says that every function is a relation. Decide if either or both are correct and give an explanation that will help solve their argument.
Day 18
Suppose that you are going to the grocery store with $20. You want to buy some snacks and sodas for a party. Would you model this situation with an equation or with an inequality? Explain the reasons for your choice.
Day 19
Explain how the vertical line test determines whether or not a graph is a function. Draw an example of a vertical line test that proves a graph is a function and draw another example that proves a graph is not a function.
Day 20
What are some important things to remember when representing an inequality on a nurnber line?
Day 21
Write a specific statement that could be represented by $7.50 < p < -$18.50.
Day 22
There is no journal entry required today.
Day 23
Explain the similarities and differences between the graphs of |x - b| < c and |x - b| > c.
Day 24
There is no journal entry required today.
Day 25
What is the solution of |x - 9| < - 4. Explain.