Linear Equations MCQs with Answers

Past Paper MCQ

If $54$ is subtracted from $3$ times a certain number, the result is $36$. Find the number.

• A.$30$
• B.$20$
• C.$25$
• D.$35$

If $m + n = 5$ and $2m + 3n = 15$, then $m - n =$ _?

• A.$5$
• B.$-5$
• C.$10$
• D.$-10$

The value of $x$ in $6x - 4 = 3x + 8$ should be _?

• A.$5$
• B.$3$
• C.$2$
• D.$4$

If the sum of two numbers is $13$ and their difference is $23$, what is their product?

• A.$36$
• B.$90$
• C.$-36$
• D.$-90$

Solve $3x - 15 = -3$.

• A.$3$
• B.$6$
• C.$4$
• D.$-4$

If $a, b, c \in \mathbb{R}$, then which of the following is true?

• A.$a < b \implies a + c < b + c$
• B.$a < b \implies a - c > b - c$
• C.$a < b \implies ac < bc$
• D.$a < b \implies \frac{a}{c} < \frac{b}{c}$

Look at this equation: $w = \frac{2}{3}t + 6$. What is the value of $w$ when $t = 12$?

• A.$10$
• B.$12$
• C.$14$
• D.$16$

For what value of $k$ does the system $\begin{bmatrix} 1 & 3 \\ 3 & k \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 1 \\ 3 \end{bmatrix}$ have infinitely many solutions?

• A.$k = 6$
• B.$k = 3$
• C.$k = 9$
• D.$k = 1$

The sum of two numbers is $24$, and their difference is $6$. The numbers are?

• A.$16$ and $8$
• B.$18$ and $6$
• C.$14$ and $10$
• D.$15$ and $9$

What is the $y$-intercept of the line $y = -3x + 7$?

• A.$-3$
• B.$3$
• C.$7$
• D.$-7$