BLIZZARD BAG
7TH MATH
Mr. Marshall
The goal of this work is to develop skills in solving one-step equations. The objective is to find the value for the variable (letter). This means finding the number that can be put in place of the variable to make the equation true. A basic calculator that adds, subtracts, multiplies, and divides will be helpful in completing this work. Please check with me at school if you have any questions.
To solve one-step equations, you need to work backward using inverse operations. That means if a term involves multiplication, you will need to di9vide and if a term is added, then you need to subtract. A key point whether you are adding, subtracting, multiplying, or dividing, is to perform the same operations to both sides of the equal sign with the same number. There are examples for each day’s work to demonstrate this point. In addition, “like terms” must be combined before the inverse operations. This means that terms of numbers need to be combined and terms with variables need to be combined.
Day 1:
1-5A,Algebra: Equations, Study Guide and Intervention.
-Read the information in the box at the top of the page and study
examples 1 and 2.
-Look at the problems in the left column, numbers: 1,4,7,10, and 13.
Notice that for #1 you need to subtract 7 from both sides because
the original problem says to add 7. Your answer is 8. You can
check your work by putting 8 where k was in the original problem. This means that 8 + 7 = 15 so you know k = 8.
-For problem #4, a/3 means to divide by 3. Multiplication is the
opposite operation of division so you must multiple both sides of
the equal sign by 3. This gives you the answer that a = 27.
Again, you can check your work by putting 27 in place of a and
Working it out. 27/3 = 9 so you know that answer is correct.
-For problem #7, you will need to multiply 12 x 8 to get your answer of
96. There are other problems, like #9 where you will likewise complete the operation to get your answer.
-For problems like # 10 and #13, you will complete by performing
inverse operations to get your answer.
Day 2:
1-5B, Algebra: Equations, Study Guide and Intervention.
-Review the problems from 1-5A. You will perform operations similar
to those on this assignment. Refer back to 1-5A for help and look
at the problems along the right column that are completed as
examples.
-Problem #12 is a little different. For this problem you need to multiply
both sides of the equation by k. This gives you 88 = 2k. Now you
can divide both sides of the equation by 2 to get the answer 44 = k.
-Problem #13 requires you to solve for f and the graph the result. The
answer is 6 and it has been graphed on the number line.
-You can check your answers by putting your answer in place of the
variable (letter) in the original problem.
Day 3:
1-5C, Algebra: Equations, Practice: Skills.
-Review your work from Day 1 and Day 2. These problems are similar.
Problems 3 and 11 have been completed for you as examples.
-Note that problem #6 has a star by it. Please refer to problem 12 from
day 2 to guide you in the solution. You must first multiply by the
variable and then you can solve it like the other problems.
-Problems #10 and #11 require that their answers be graphed on a
number line. Problem #11 has be solved and graphed.
-You can check your answers by putting your answer in place of the
variable (letter) in the original problem.