Final Exam Review for MAT 1033 focuses on essential topics in mathematics, including algebraic expressions, equations, graphing, and polynomial functions. This review is designed for students preparing for their final exam, providing practice problems and solutions to reinforce understanding. Key concepts include solving linear equations, factoring polynomials, and applying the quadratic formula. Students will benefit from detailed explanations and step-by-step solutions to enhance their mathematical skills and confidence.

Key Points

  • Covers algebraic expressions and their evaluations for given variables.
  • Includes step-by-step solutions for solving linear equations and inequalities.
  • Features graphing techniques for linear equations and systems of inequalities.
  • Explains polynomial factoring and solving quadratic equations.
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14 pages
Exams
newtopiccyclegrowin
14 pages
Exams
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Final Exam Review
MAT 1033
1. Evaluate the expression for the values given.
5ab + 3c; a = 5, b = -3, c = 7
A) 78
B) -54
C) -72
D) 96
2. Solve.
8y + 4(4 + y) = 3(y - 7) + 10y
A) y = -11
B) y = 11
C) y = -37
D) y = 37
3. Solve for x.
5 1 6
4 14 7
xx

A)
3x 
B)
3x 
C)
61
3
x
D)
13
11
x 
4. Given the function, find the indicated value.
Find f(4) when f(x) = x
2
+ 2x + 7.
A) 1
B) 31
C) 17
D) 15
5. Graph the equation by plotting the intercepts.
2x - 4y = 4
A)
B)
C)
D)
6. Find an equation of the line. Write the equation in standard form.
Through (1, -1) and (4, -10)
A) x + 3y = 2
B) -3x + y = 2
C) 3x + y = 2
D) x - 3y = 2
7. Find the equation of the line that has the given slope and passes through the
given point. Write the equation in the slope-intercept form.
m = -4, (-5, 7)
A) y = -4x + 7
B) y = -4x – 13
C) y = -4x + 13
D) y = -4x - 5
8. Find the solution to the system by addition (elimination) method.
7x + 18y = 18
9x - 3y = -3
A) (0, 0)
B) (1, 0)
C) (0, 1)
D) (1, 1)
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FAQs

What types of problems are included in the MAT 1033 review?
The MAT 1033 review includes a variety of problems such as evaluating expressions, solving linear equations, and factoring polynomials. Students will encounter multiple-choice questions that test their understanding of algebraic concepts and problem-solving skills. Additionally, the review provides practice with graphing linear equations and systems of inequalities, helping students visualize mathematical relationships. Overall, the review is comprehensive, covering essential topics that are crucial for success in the final exam.

How does the review assist in preparing for the MAT 1033 final exam?
This review assists students by providing a structured approach to studying key mathematical concepts relevant to the MAT 1033 course. It includes practice problems that mirror the types of questions likely to appear on the final exam, allowing students to familiarize themselves with the exam format. Detailed solutions and explanations help clarify complex topics, ensuring that students understand the underlying principles. By working through the review, students can identify areas where they need further practice and reinforce their knowledge before the exam.

What mathematical concepts are emphasized in the MAT 1033 review?
The MAT 1033 review emphasizes critical mathematical concepts such as algebraic expressions, linear equations, and polynomial functions. It covers the evaluation of expressions, solving equations, and the application of the quadratic formula. Additionally, the review highlights graphing techniques for visualizing equations and understanding systems of inequalities. By focusing on these concepts, the review prepares students to tackle a range of problems they may encounter in their final exam.

Are there any specific strategies suggested for solving equations in the review?
Yes, the review suggests several strategies for solving equations, including isolating variables, using inverse operations, and checking solutions for accuracy. It emphasizes the importance of understanding the properties of equality and how to apply them effectively. Additionally, students are encouraged to practice solving both simple and complex equations to build their confidence. The review also provides examples of common pitfalls to avoid, ensuring that students are well-prepared for the types of questions they may face on the exam.