MAT 1033 Final Exam Review

MAT 1033 Final Exam Review

MAT 1033 Final Exam Review provides comprehensive preparation for students in college-level mathematics. This review covers essential topics such as slope calculations, graphing linear equations, and solving systems of equations. It includes multiple-choice questions and detailed explanations to reinforce understanding of key mathematical concepts. Ideal for students seeking to excel in their final exams, this resource features practice problems and solutions that align with the curriculum. Enhance your math skills and boost your confidence with targeted practice.

Key Points

  • Includes multiple-choice questions covering slope, intercepts, and graphing.
  • Covers key topics such as solving linear equations and systems of equations.
  • Provides detailed explanations and solutions for each practice problem.
  • Designed for college students preparing for the MAT 1033 final exam.
  • newtopiccyclegrowin
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Florida Gateway College Mathematics Department
MAT 1033 Final Exam Review
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1)
Determine the slope of the line containing the two points (5, -2) and (1, -5).
A)
3
4
B)
4
3
C)
6
7
D)
-
7
6
2)
Use the slope formula to determine the slope of the line containing the two points.
(5, -5) and (5, -1)
A)
2
5
B)
0
C)
-
3
5
D)
undefined
3)
Estimate the slope of the line from its graph.
A)
5
3
B)
-
5
3
C)
-
3
5
D)
3
5
4)
Estimate the slope of the line from its graph.
x
-5 -4 -3 -2 -1 1 2 3 4 5
y
5
4
3
2
1
-1
-2
-3
-4
-5
x
-5 -4 -3 -2 -1 1 2 3 4 5
y
5
4
3
2
1
-1
-2
-3
-4
-5
A)
3
B)
1
C)
0
D)
undefined
v. 201601
5)
Find the x-intercept and the y-intercept and graph both. Then graph the line.
3x + 2y = 12
A)
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
B)
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
C)
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
D)
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
6)
Detemine the equation of the line graphed below.
x
-5 -4 -3 -2 -1 1 2 3 4 5
y
5
4
3
2
1
-1
-2
-3
-4
-5
x
-5 -4 -3 -2 -1 1 2 3 4 5
y
5
4
3
2
1
-1
-2
-3
-4
-5
A)
y = 2
B)
x = 2
C)
x + y = 2
D)
y = 2x
7)
Write an equation of the line satisfying the given conditions. Write the answer using function
notation.
The line passes through the point (12, 9) and has a slope of
5
4
.
A)
f(x)
=
5
4
x - 6
B)
y
= -
5
4
x - 6
C)
f(x)
=
5
4
x - 24
D)
y
=
5
4
x - 6
2
8)
Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept
form.
The line passes through (8, -3) and (6, 5).
A)
y = 4x + 35
B)
y = -4x + 29
C)
y = -4x - 29
D)
y = -4x + 35
9)
Write an equation of the line satisfying the given conditions.
The line passes through (8, -1) and (8, -5).
A)
y = -8
B)
y = 8x
C)
y = 8
D)
x = 8
10)
The slope of a line is given. Find the slope of a line perpendicular to the given line.
m =
19
23
A)
23
19
B)
-
19
23
C)
-
23
19
D)
19
23
11)
Use the given conditions to write an equation for the line in slope-intercept form:
Passing through (5, -5) and parallel to the line whose equation is y = -5x + 6.
A)
y
=
-
5
x
-
20
B)
y
=
5
x
-
20
C)
y
=
-
5
x
+
20
D)
y
=
-
1
5
x
-
4
12)
Determine if the relation defines y as a function of x.
A)
Function
B)
Not a function
13)
Which relation is NOT a function?
A)
{(9, 11), (11, 5), (-9, 5), (5, 11)}
B)
{(-9, 2), (3, 11), (0, 11), (5, 11)}
C)
{(9, 9), (11, 11), (5, 5), (0, 0)}
D)
{(9, 11), (0, 5), (11, 9), (9, 5)}
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FAQs of MAT 1033 Final Exam Review

What types of problems are included in the MAT 1033 review?
The MAT 1033 Final Exam Review includes a variety of problems focused on key mathematical concepts such as calculating slopes, finding intercepts, and graphing linear equations. Students will encounter multiple-choice questions that test their understanding of these topics, as well as problems requiring the application of formulas to solve equations. The review is structured to help students practice and reinforce their knowledge in preparation for their final exam.
How does the review help with understanding slope and intercepts?
The review provides clear explanations and examples of how to calculate the slope of a line using given points. It also covers how to identify x-intercepts and y-intercepts, which are crucial for graphing linear equations. By working through the practice problems, students can develop a deeper understanding of these concepts and learn to apply them in various mathematical contexts.
What is the significance of solving systems of equations in this review?
Solving systems of equations is a fundamental skill in mathematics, and the MAT 1033 review emphasizes this by including various methods such as substitution and elimination. Understanding how to solve these systems is essential for students, as it applies to real-world problems in fields like economics, engineering, and science. The review equips students with the techniques needed to tackle these problems effectively.
Are there any specific strategies provided for tackling multiple-choice questions?
Yes, the MAT 1033 Final Exam Review offers strategies for approaching multiple-choice questions, including process of elimination and recognizing common traps. Students are encouraged to read each question carefully and consider all answer choices before selecting the best option. These strategies aim to enhance test-taking skills and improve overall performance on the exam.

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