Linear Equations MCQs with Answers

If $\frac{2}{3}$ of a number decreases its $\frac{4}{5}$ by $8$, the number is?

• A.$50$
• B.$60$
• C.$70$
• D.$80$

Solve: $\frac{4}{5}(x + 7) = 3(2x - 7)$

• A.$\frac{133}{22}$
• B.$\frac{119}{26}$
• C.$\frac{133}{26}$
• D.$\frac{126}{25}$

Which equation has a solution of $-5$?

• A.$\frac{3}{5}a + 16 = 19$
• B.$\frac{3}{5}a - 19 = 16$
• C.$\frac{5}{3}a + 19 = 16$
• D.$\frac{3}{5}a + 19 = 16$

In a class of 27 students, if girls are 7 more than boys, how many girls are there?

• A.$17$
• B.$10$
• C.$20$
• D.$14$

Suppose $x = y - 2 = \frac{y + 5}{2}$. Then $x$ equals?

• A.$1$
• B.$9$
• C.$7$
• D.$5$

Which of the following methods is not applicable for solving simultaneous linear equations?

• A.Substitution method
• B.Elimination method
• C.Completing the square
• D.Cross-multiplication method

If the angles of a triangle are $(x - 35)^\circ$, $(x - 25)^\circ$, and $\left(\frac{1}{2}x - 10\right)^\circ$, what is the value of $x$?

• A.$100$
• B.$120$
• C.$90$
• D.$80$

What is applicable only for linear systems?

• A.Principle of superposition
• B.Principle of conservation of energy
• C.Principle of least action
• D.Principle of equivalence

Past Paper MCQ

Jerry estimates that there are $m$ marbles in a jar. Harry, who knows the actual number of marbles in the jar, notes that the actual number, $n$, is within 10 marbles (inclusive) of Jerry's estimate. Which of the following inequalities represents the relationship between Jerry's estimate and the actual number of marbles in the jar?

• A.$|m - n| \geq 10$
• B.$n - 10 \leq m \leq n + 10$
• C.$m - 10 < n < m + 10$
• D.$m - 10 \leq n \leq m + 10$

If $x = 12$ and $x = 132$, then $n =$ _?

• A.$10$
• B.$11$
• C.$12$
• D.$9$