MAT-136 at Southern New Hampshire University teaches simplification of algebraic expressions, techniques for solving equations and functions, and graphical and numerical summaries of data, all tied to authentic applications.
The catalog adds quantitative analysis skills in systems of linear equations, properties of functions and expressions, polynomials and their representations.
It is a foundation course. SNHU lists it as one route into MAT-140 Precalculus, so it matters for students heading toward calculus as well as those who need a solid algebra base.
Course at a Glance
| Item | Details |
|---|---|
| University | Southern New Hampshire University |
| Course code | MAT-136 |
| Credits | 3 |
| Level | Undergraduate, foundations |
| Leads to | MAT-140 Precalculus (one of its listed entry routes) |
| Typical work | Algebra problem sets, graphs and data summaries (general; check your term) |
What MAT-136 Covers
| Area | Skill |
|---|---|
| Algebraic expressions | Simplifying, factoring and combining like terms |
| Equations and functions | Solving for unknowns and reading function notation |
| Systems of linear equations | Finding where two relationships are both true |
| Polynomials | Operations, factors and representations |
| Data summaries | Mean, median, spread and graphs |
Key Concepts Explained
Solving a System of Equations
A system asks for values that satisfy two equations at once. Elimination adds or subtracts the equations to remove one variable.
Example: 2x + y = 7 and x - y = 2. Adding gives 3x = 9, so x = 3. Substituting into x - y = 2 gives y = 1. Check in the first equation: 2(3) + 1 = 7, which works.
Function Notation
If f(x) = 2x + 3, then f(4) means replace x by 4: f(4) = 11. The notation is a rule, not multiplication of f by x.
Summarizing Data
The mean is the sum divided by the count; the median is the middle value once the data are ordered. A few extreme values pull the mean but barely move the median.
Example (invented data): For 2, 3, 3, 4, 18 the mean is 6 and the median is 3. The outlier 18 raises the mean far above a typical value.
Typical Assignments and How to Approach Them
| Assignment type | What it tests | How to approach it |
|---|---|---|
| Algebra problem sets | Accuracy and clean working | Do one operation per line and check by substituting back |
| Systems and applications | Turning a word problem into equations | Define variables first and write them with units |
| Function and graph questions | Reading and sketching functions | Make a table of values, then plot and label |
| Data summary tasks | Computing and interpreting statistics | State the statistic, its value and what it says about the data |
Algebra Habits That Prevent Errors
Most lost marks in a foundations course come from small slips, not from misunderstanding. Three habits help: write every step, keep the equals signs lined up, and check each answer in the original equation rather than the one you rearranged.
When a problem is a story, translate it before solving. Define what each variable stands for, write the relationships, and only then use algebra.
A Worked Word Problem
Gym A charges $20 a month plus $5 per visit. Gym B charges $8 per visit with no fee. Let x be the number of visits in a month. Cost A = 20 + 5x and Cost B = 8x. Set them equal: 20 + 5x = 8x, so 20 = 3x and x = 20/3, about 6.67.
Interpretation: Gym B is cheaper up to 6 visits and Gym A is cheaper from 7 visits. Always finish with a sentence that answers the question in context.
Quick Self-Checks
- Substitute your answer into the original equation.
- Ask whether the size of the answer makes sense.
- Check units and labels on graphs.
- Re-read the question to confirm you answered what was asked.
Reading Graphs and Data Displays
Graphs turn numbers into patterns. When you meet a chart in an assignment, name the variable on each axis, read the scale, and say what the shape suggests before you compute anything. A histogram shows how values are spread, a scatter plot shows how two quantities move together, and a line graph shows change over time.
Then add one sentence about what the display does not show, such as the reason behind a trend. This habit separates a description from an analysis and tends to match rubric language about interpretation.
Where Students Get Stuck
- Sign errors. Distribute negatives carefully and recheck each line.
- Skipping the definition of variables. A word problem without defined variables is easy to misread.
- Mistaking f(x) for multiplication. Practice evaluating functions at several inputs.
- Interpreting data. Add a sentence about what the number means.
Study Tips for MAT-136
- Redo missed problems a few days later without notes.
- Use graphs to check algebra answers when possible.
- Keep a list of the factoring patterns you see most.
- Do a short review each day rather than one long session.
How We Help with MAT-136
Send the problem set and your working. A maths tutor can explain each method, prepare fully worked solutions, or find where your steps go wrong.
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Frequently Asked Questions
SNHU lists algebraic expressions, solving equations and functions, graphical and numerical data summaries, systems of linear equations, properties of functions and polynomials.
Yes. MAT-136 is one of the listed ways to meet the MAT-140 prerequisite, along with a passing Math Alignment Score.
The catalog shows none.
MAT-136 builds algebra, systems and data skills. MAT-140 focuses on families of functions in preparation for calculus.
Check your course instructions for allowed tools.
Yes. We go through your steps, mark where an error appears and explain the correction.