Free Linear Equations MCQs with Answers

• A. 55606
• B. 55697
• C. 55967
• D. 73373

Explanation: Work from left to right: 64309 - 8703 = 55606, then 55606 + 798 = 56404, and 56404 - 437 = 55967.

• A. 26
• B. 26.26
• C. 2.2
• D. -22.22

Explanation: Subtracting first gives 25.25 - 23.23 = 2.02, and adding 24.24 gives 2.02 + 24.24 = 26.26.

• A. 22
• B. 23
• C. 24
• D. 26

Explanation: Let hens be h and cows be c. Then h + c = 48 and 2h + 4c = 140, so h + 2c = 70; subtracting the first equation gives c = 22 and h = 26…

• A. 256
• B. 432
• C. 512
• D. 640Everyday Science Quiz

Explanation: If there are n children, each initially receives n/8 notebooks, so the total is n x n/8 = n²/8 notebooks.

• A. 1/2
• B. 1/3
• C. 1/4
• D. 1/5Enrolling In Online Certification Courses

Explanation: Evaluate the left part first: 98 ÷ 7 ÷ 2 = 14 ÷ 2 = 7. Thus 7 ÷ ? = 14, so ? = 7 ÷ 14 = 1/2.

• A. 15
• B. 20
• C. 25
• D. 35

Explanation: The numerator is 24 × 5 × 7 × 9 = 7560. Therefore 7560 ÷ ? = 216, giving ? = 7560 ÷ 216 = 35.

• A. Optimal solution
• B. Feasible solution
• C. Linear solution
• D. Quintic solution

Explanation: The correct option is a) Optimal solution.The optimal solution is the feasible solution that maximizes or minimizes the objective…

• A. True
• B. False
• C. none of these
• D. both

Explanation: The correct answer is a) True.The feasible region for a system of inequalities in two variables (x and y) is the set of all points (x, y)…

• A. x ≤ 4
• B. -4 ≤ x ≤ -1
• C. 1 ≤ x ≤ 4
• D. x ≥ 4

Explanation: The correct answer is c) 1 ≤ x ≤ 4.To find the solution set, we need to solve the inequality |3 - 2x| ≤ 5.Solving the inequality:|3 - 2x|…

• A. 14
• B. 15
• C. 20
• D. 16

Explanation: Let's denote the unknown number as xThe average of 4 and x being smaller than 10 can be expressed as:4+x/2= 10Files sale with genuine Chce…

• A. two disjoint regions
• B. four disjoint regions
• C. left and right half planes
• D. four planes

Explanation: The graph of a linear equation of the form + = ax+by=c represents a straight line on the plane.

• A. left and right half planes
• B. upper and lower half planes
• C. four planes
• D. None

Explanation: A nonvertical line divides the plane into upper and lower half planes. This is because any nonvertical line can be represented by an…

• A. left and right half planes
• B. upper and lower half planes
• C. four planes
• D. None

Explanation: When a nonvertical line divides the plane, it separates the plane into two distinct regions or half planes.

• A. solid line
• B. dashes
• C. dots
• D. None

Explanation: When the inequality involves the symbols > or <, it represents strict inequalities.

• A. solid line
• B. dashes
• C. dots
• D. None

Explanation: When the inequality involves the symbols ≥ or ≤, it represents nonstrict inequalities.

• A. boundary line
• B. right half plane
• C. left half plane
• D. None

Explanation: The set of ordered pairs \((x, y)\) such that \(ax + by < c\) forms a region known as a halfplane.

• A. open half planes
• B. closed half planes
• C. open and closed half planes
• D. None

Explanation: The graph of the inequalities \(ax + by \leq c\) and \(ax + by \geq c\) represent closed half planes.

• A. stationary point
• B. test point
• C. corner point
• D. None

Explanation: A point of a solution region where two of its boundary lines intersect is called a corner point.

• A. problem constraints
• B. feasible region
• C. feasible solution
• D. None

Explanation: The system of linear inequalities involved in a problem are called problem constraints.

• A. negative constraints
• B. positive constraints
• C. nonnegative constraints
• D. None

Explanation: Decision variables are typically subject to nonnegative constraints. This means that the values of decision variables must be greater than…