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TSIA2: Algebraic Reasoning Questions
and Correct Answers/ Latest Update /
Already Graded
What is the difference between a function and a relation?
Ans: A function is a specific form of relation where every value
of has only one value of that makes the relation true.
Explanation: y=2x is a function because for each value of x,
there is only one value that equals 2x. y<2x is a relation because
for each, many values are less than 2x.
In a linear equation of the form y=mx+b, what does m represent?
Ans: m represents the slope of the line.
What is meant by the "degree of a polynomial"?
Ans: The degree of a polynomial is the highest. Explanation:
The degree of the polynomial 4x^2+2x^3 is 3.
If a polynomial is in the form x^2+2xy+y^2 , what is its factored form?
Ans: (x+y)(x+y)=(x+y)^2
All rights reserved © 2025/ 2026 |
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True or false? In an inequality, multiplying or dividing by a negative
number reverses the inequality sign.
Ans: true
What are the three different solution sets of a system of linear
equations?
Ans: no solution, a unique (one) solution, and infinite solutions
To evaluate the function f(x)=3x-2(x-1) at x=2, we will ______.
Ans: Substitute 2 into all the x values of the function and solve
by using the order of operations.
The exponential model P = 100 (1.3)^5 represents the city's population
after a certain number of years. What does 1.3 represent?
Ans: It represents the growth factor of the population with a
30% growth rate per year.
Quadratic Equation
Ans: An equation that can be expressed in the standard form
ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
All rights reserved © 2025/ 2026 |
TSIA2: Algebraic Reasoning Questions
and Correct Answers/ Latest Update /
Already Graded
What is the difference between a function and a relation?
Ans: A function is a specific form of relation where every value
of has only one value of that makes the relation true.
Explanation: y=2x is a function because for each value of x,
there is only one value that equals 2x. y<2x is a relation because
for each, many values are less than 2x.
In a linear equation of the form y=mx+b, what does m represent?
Ans: m represents the slope of the line.
What is meant by the "degree of a polynomial"?
Ans: The degree of a polynomial is the highest. Explanation:
The degree of the polynomial 4x^2+2x^3 is 3.
If a polynomial is in the form x^2+2xy+y^2 , what is its factored form?
Ans: (x+y)(x+y)=(x+y)^2
All rights reserved © 2025/ 2026 |
, Page |2
True or false? In an inequality, multiplying or dividing by a negative
number reverses the inequality sign.
Ans: true
What are the three different solution sets of a system of linear
equations?
Ans: no solution, a unique (one) solution, and infinite solutions
To evaluate the function f(x)=3x-2(x-1) at x=2, we will ______.
Ans: Substitute 2 into all the x values of the function and solve
by using the order of operations.
The exponential model P = 100 (1.3)^5 represents the city's population
after a certain number of years. What does 1.3 represent?
Ans: It represents the growth factor of the population with a
30% growth rate per year.
Quadratic Equation
Ans: An equation that can be expressed in the standard form
ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
All rights reserved © 2025/ 2026 |
