Mid Term Exam Name Multiple Choice

Mid Term Examname Multiple Choice

Mid Term Examname Multiple Choice

Mid-Term Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Fill in the blank with one of the words or phrases listed below. distributive real reciprocals absolute value opposite associative inequality commutative whole algebraic expression exponent variable

1) The of a number is the distance between the number and 0 on the number line. A) opposite B) whole C) absolute value D) exponent

2) Find an equation of the line. Write the equation using function notation.

3) Through (1, -3); perpendicular to f(x) = -4x - 3 A) f(x) = 1 4 x - 13 4 B) f(x) = - 1 4 x - 13 4 C) f(x) = -4x - 13 4 D) f(x) = 4x -

4) Multiply or divide as indicated. A) -22 B) 12 C) - 1 12 D) -)

5) Write the sentence using mathematical symbols. 4) Two subtracted from x is 55. A) 2 + x = 55 B) 2 - x = 55 C) x - 2 = 55 D) 55 - 2 = x

6) Name the property illustrated by the statement. ) + 10 = 0 A) associative property of addition B) additive identity property C) commutative property of addition D) additive inverse property

7) Tell whether the statement is true or false. 6) Every rational number is an integer. A) True B) False

8) Add or subtract as indicated. A) 7 B) -17 C) 17 D) -

9) Name the property illustrated by the statement. 8) (1 + 8) + 6 = 1 + (8 + 6) A) distributive property B) associative property of addition C) commutative property of multiplication D) associative property of multiplication

10) Simplify the expression. v - 6) + 10(2v + 10) A) 30v + 16 B) -10v + 94 C) 10v + 106 D) 30v + 4

11) Solve the equation. 10) 5(x + 3) = 3[ - x) + 10] A) -39 B) 3 C) -13 D) 39

12) List the elements of the set. 11) If A = {x|x is an odd integer} and B = {35, 37, 38, 40}, list the elements of A ∩ B. A) {35, 37} B) {x|x is an odd integer} C) {x|x is an odd integer or x = 38 or x = 40} D) { }

13) Solve the inequality. Graph the solution set. 12) |x| ≥ 4 A) (-∞, -4] ∪ [4, ∞) B) [-4, 4] C) [4, ∞) D) (-∞, -4) ∪ (4, ∞)

14) Solve. 13) The sum of three consecutive even integers is 336. Find the integers. A) 108, 110, 112 B) 110, 112, 114 C) 112, 114, 116 D) 111, 112,

15) Solve the inequality. Write your solution in interval notation. 14) x ≥ 4 or x ≥ -2 A) (-∞, ∞) B) [4, ∞) C) [-2, ∞) D) (-∞, -2] ∪ [4, ∞)

16) Use the formula A = P(1 + r/n)^{nt} to find the amount requested. 15) A principal of $12,000 is invested in an account paying an annual interest rate of 4%. Find the amount in the account after 3 years if the account is compounded quarterly. A) $1521.9 B) $13,388.02 C) $13,498.37 D) $13,521

17) Graph the solution set of the inequality and write it in interval notation. x ≥ 7 A) 28/5, ∞ B) 35/4, ∞ C) -∞, D) -∞,

18) Solve the inequality. Write your solution in interval notation. 17) |x - 8| - 4

19) Find the domain and the range of the relation. Use the vertical line test to determine whether the graph is the graph of a function. 18) x - y x - y A) domain: [-6, ∞) range: (-∞, ∞) not a function B) domain: (-∞, ∞) range: [-6, ∞) function C) domain: (-∞, ∞) range: [-6, ∞) not a function D) domain: [-6, ∞) range: (-∞, ∞) function

20) Graph the equation. 19) -2x + 3y = 12 x - y x - y A) x - y x - y B) x - y x - y C) x - y x - y D) x - y x - y

21) Solve. 20) Aristotle exercises between 1 and 7 hours each week and volunteers at most 5 hours per week. Let x represent the hours exercising and y represent the hours volunteering. Write two inequalities that model this situation and graph their intersection. x - y x - y A) 1

22) Find the domain and the range of the relation. Use the vertical line test to determine whether the graph is the graph of a function. 21) x - y x - y A) domain: (-∞, ∞) range: (-∞, -4] ∪ [4, ∞) not a function B) domain: (-∞, -4] ∪ [4, ∞) range: (-∞, ∞) function C) domain: (-∞, -4] ∪ [4, ∞) range: (-∞, ∞) not a function D) domain: (-∞, ∞) range: (-∞, -4] ∪ [4, ∞) function

23) Graph the function. 22) f(x) = x + 4 + 1 x - y x - y A) x - y x - y B) x - y x - y C) x - y x - y D) x - y x - y

24) Graph the inequality. 23) The intersection of -x + 3y

25) Find the slope of the line that goes through the given points. 24) (6, 2), (-2, 2) A) 0 B) undefined C) -1/2 D)

26) Determine whether the ordered pair is a solution of the given equation. 25) y = 7x²; (3, 147) A) No B) Yes

Paper For Above instruction

The provided multiple-choice questions cover a broad spectrum of fundamental algebraic concepts essential for understanding and solving linear equations, inequalities, functions, and their graphical representations. The questions test knowledge on basic properties such as the absolute value of a number, the properties of algebraic expressions, and the rules governing operations like addition and multiplication. They also evaluate the ability to formulate and manipulate equations, solve inequalities, and interpret their solution sets graphically. Additionally, the questions include application-based problems like calculating compound interest, finding slopes of lines, and analyzing relations for domain, range, and whether they qualify as functions. To succeed, students need a firm grasp of algebraic principles, the ability to translate words into mathematical symbols, and skills in graphing and analyzing functions and inequalities. This exam aims to assess comprehension across these core areas through multiple-choice questions that require critical thinking, accurate calculation, and precise application of algebraic laws.

This examination not only tests procedural skills but also emphasizes conceptual understanding. For example, identifying the property illustrated by an algebraic statement (associative, commutative, etc.) demonstrates insight into the structure of algebraic operations. Solving for variables in equations and inequalities assesses procedural proficiency, while graphing solutions and determining domain and range reflect an understanding of how algebraic relations are represented visually. Moreover, real-world modeling questions, such as the one involving hours of exercise and volunteering, require students to translate real-life scenarios into inequalities and graphical representations, thus bridging abstract algebraic techniques with practical applications.

Throughout this exam, careful process is required: formulating equations accurately based on word problems, applying properties logically, and interpreting solutions correctly within the context of the problem. A comprehensive understanding of algebraic terminology such as variables, exponents, and set notation is essential for interpreting questions and answering efficiently. Mastery of these fundamental algebra concepts will empower students to solve both straightforward and complex problems, preparing them for more advanced mathematical challenges.

References

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