1. Problem found in Unit 1: Solving Equations
Problem: Solve the equation 3(x + 4) = 15
Work:
3(x + 4) = 15
3x + 12 = 15 (Distribute the 3)
3x = 3 (Subtract 12 from both sides)
x = 1 (Divide both sides by 3)
2. Problem found in Unit 2: Graphing Linear Equations
Problem: Graph the linear equation y = 2x - 4
Work:
To graph the equation y = 2x - 4, we can create a table of values and plot the points to form the line on the coordinate plane.
When x = 0, y = 2(0) - 4 = -4 --> Point (0, -4)
When x = 1, y = 2(1) - 4 = -2 --> Point (1, -2)
When x = 2, y = 2(2) - 4 = 0 --> Point (2, 0)
Plotting these points and drawing a line through them will give us the graph of y = 2x - 4.
3. Problem found in Unit 3: Systems of Equations
Problem: Solve the system of equations:
2x + y = 3
4x - 2y = -2
Work:
To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.
Multiply the first equation by 2:
4x + 2y = 6
4x - 2y = -2
Adding the two equations together, we get:
(4x + 2y) + (4x - 2y) = 6 + (-2)
8x = 4
x = 0.5
Substitute x = 0.5 into the first equation:
2(0.5) + y = 3
y = 2
Therefore, the solution to the system of equations is x = 0.5 and y = 2.
Since the course is almost finished. I want you to find 3 problems that have to be worked out showing steps that you learned this semester that were either your favorite kind to solve OR something new to you that you learned this year.
1. Tell me where the problem is found -- give the lesson or assessment name. Each one must be from a different unit.
2. Write down the problem -- it can be copied and pasted, but NOT the work shown.
3. Show the work-- preferably written out, but can be typed. Give the proper steps. Just an answer will not work. Find a different problem if that is the case.
Let me know if you have any questions.
1 answer