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# Solving and Graphing Linear Equations and Word Problems

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Week 3 Discussion Questions-Linear Equations in 2 Variables

1. Paul and nine other students are taking a math class. He is worried about the content of the next quiz because he just can't solve those word problems. The teacher has said that the number of questions divided by the number of students = 2.8, and 14.3 % of the test is devoted to word problems.

How many word problems must Paul worry about?

If he misses all of the word problems, what will his % test grade be?

2. Line equations
Find the line through the following points. Write the answer in the slope/intercept form.

a. Use the m formula to find the slope,

b. and y = mx+b to find the line equation.

c. (1,2)(10,3)
In a paragraph summarize how your graph differs from the person who has the student number less than you, and the student who has the student number higher than you? Do not solve their equations, rather talk of intercepts and slopes.

Submit solutions to the assignment mailbox for grading by Monday

Using Excel, graph the line below on the row corresponding to your student assignment number. Step one will be to change the given equation into a slope-intercept equation, i.e. and equation that begins y =
1. 3x+2y = 8
2. 4x+2y = 9,
3. 5x+2y = 10
4. 6x+2y = 8
5. 3x-2y = 8
6. 4x-2y = 8
7. 5x-2y = 10
8. 6x-2y = 12
9. 2x+4y = 8
10.4x-3y = 9
11.4x-2y = -8
12.5x+2y = 10

There are several parts to question #3 that are important;
a. Use Excel to create a spreadsheet for the graph values. Use as x values; -4,-3,-2,-1,0,1,2,3,4 in column A.

b. A second part is to change the given equation into equations that Excel or other spreadsheet programs can read in the formula line. Place this equation in the top cell of column B. Follow the directions on the Excel note (sheet 1) in the course materials mailbox.

c. Now create the line graph.
Choose the "x-y scatter" type.

Submit solutions to the assignment mailbox for grading by Monday.

1. C9,C10
2. F8,F9,F10
3. O9,C10
4. L9,L10
5. I9,I10
6. L9,L10
7. P9,P10
8. P11,U5
9. T7,T8
10.U7,U8
11.L9,L10
12.I5,I7
For the Spreadsheet assignment. Go to your assigned cells in the attached spreadsheet. Highlight the cells by moving the cursor there and single click. Now read the exact equation in the window at the top of the spreadsheet, the window with fx to the left of it.
a. Type the equations. Do not forget the = sign. Begin the equations with the = sign. Do not use y.

b. what is Excel calculating in this cell.

Week 3 Discussion Questions-Linear Equations in 2 Variables

b. Glance at all the cells assigned to your classmates.
In a paragraph explain what Excel is doing in this spreadsheet.

https://brainmass.com/math/graphs-and-functions/111780

#### Solution Summary

Linear equations and word problems are investigated.

\$2.19

## Solving Systems of Linear Equations and Word Problems

1.) Solving Systems by Graphing and Substitution

Investing her bonus. Donna invested her \$33,000 bonus
and received a total of \$970 in interest after one year. If
part of the money returned 4% and the remainder 2.25%,
then how much did she invest at each rate?

2.) Ticket sales. Tickets for a concert were sold to adults for
\$3 and to students for \$2. If the total receipts were \$824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold?

3.) Solve each system by the addition method. Determine whether
the equations are independent, dependent, or inconsistent.

x - y = 3
-6x + 6y = 17

4.) Solve each system by the addition method.

3x - 2.5y = 7.125
2.5x - 3y = 7.3125

5.) Super Bowl contender. The probability that San Francisco
plays in the next Super Bowl is nine times the probability
that they do not play in the next Super Bowl. The probability
that San Francisco plays in the next Super Bowl plus the
probability that they do not play is 1. What is the probability
that San Francisco plays in the next Super Bowl?

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