Veda AI Learning & Classroom
Get the app
For teachers Teacher overview Answer key generator Quiz generator Question paper generator Attendance app Student reports All free tools
For students Student overview Solve a question paper NCERT syllabus Flashcard maker Important questions Play a challenge Daily GK quiz
For schools Schools overview Start a pilot Tuition & coaching Teaching diary
Library NCERT syllabus Study kits by subject Browse every topic Previous year papers Board paper solutions Blog
Your account Log in — teachers, students & schools About Veda Get the app — free

Vector Basics: 18 MCQs with answers

All 18 multiple-choice questions from this kit, free and with no sign-up.

Full kit · everything Flashcards · 26 Quick Revision · 14

Warm-up · 10 questions

Q1. What is the solution to the equation $2x + 3 = 11$?

Beginner
A $x = 3$ B $x = 5$ C $x = 6$ D $x = 4$
Show answer & explanation

$x = 4$

Subtract 3 from both sides: $2x = 8$, then divide by 2: $x = 4$.

Q2. Which of the following is a linear equation in one variable?

Beginner
A $\sqrt{x} = 4$ B $3x - 7 = 2$ C $\frac{1}{x} = 3$ D $x^2 + 2 = 5$
Show answer & explanation

$3x - 7 = 2$

A linear equation in one variable has the form $ax + b = c$ with $a \neq 0$; $3x - 7 = 2$ fits.

Q3. What is the slope of the line $y = -3x + 2$?

Beginner
A $-3$ B $2$ C $3$ D $-2$
Show answer & explanation

$-3$

In slope-intercept form $y = mx + b$, $m$ is the slope. Here $m = -3$.

Q4. What is the $y$-intercept of the line $y = \frac{1}{2}x - 3$?

Beginner
A $0$ B $3$ C $-3$ D $\frac{1}{2}$
Show answer & explanation

$-3$

In $y = mx + b$, $b$ is the $y$-intercept. Here $b = -3$.

Q5. Solve for $x$: $\frac{2x}{3} = 8$

Beginner
A $x = 4$ B $x = 16$ C $x = 6$ D $x = 12$
Show answer & explanation

$x = 12$

Multiply both sides by 3: $2x = 24$, then divide by 2: $x = 12$.

Q6. The equation $x = 5$ is a linear equation in one variable.

Beginner
A True B False
Show answer & explanation

True

It can be written as $1 \cdot x + 0 = 5$, which is of the form $ax + b = c$ with $a \neq 0$.

Q7. The point $(0, 0)$ always satisfies any linear equation.

Beginner
A True B False
Show answer & explanation

False

Only equations where $b = 0$ in $y = mx + b$ pass through the origin.

Q8. If $a = b$, then $a + c = b + c$ for any real number $c$.

Beginner
A True B False
Show answer & explanation

True

This is the addition property of equality.

Q9. The ___ of a line is the ratio of the vertical change to the horizontal change between two points.

Beginner
Show answer & explanation

—

Slope is defined as $m = \frac{\Delta y}{\Delta x}$.

Q10. In the equation $y = mx + b$, $b$ represents the ___.

Beginner
Show answer & explanation

—

The $y$-intercept is the point where the line crosses the $y$-axis.

Building up · 8 questions

Q11. Solve: $5 - 2x = 3x + 10$

Intermediate
A $x = -1$ B $x = -2$ C $x = 2$ D $x = 1$
Show answer & explanation

$x = -1$

Add $2x$ to both sides: $5 = 5x + 10$, subtract 10: $-5 = 5x$, divide by 5: $x = -1$.

Q12. Which point lies on the line $y = 2x - 1$?

Intermediate
A $(-1, -3)$ B $(0, -1)$ C $(1, 0)$ D $(2, 3)$
Show answer & explanation

$(0, -1)$

Substitute $x=0$: $y = 2(0) - 1 = -1$, so $(0, -1)$ satisfies the equation.

Q13. The equation $4x - 2 = 2x + 6$ is equivalent to which of the following?

Intermediate
A $2x = 4$ B $6x = 8$ C $2x = 8$ D $6x = 4$
Show answer & explanation

$2x = 8$

Subtract $2x$ from both sides: $2x - 2 = 6$, add 2: $2x = 8$.

Q14. If $3(x - 4) = 2x + 1$, what is $x$?

Intermediate
A $x = 12$ B $x = 11$ C $x = 10$ D $x = 13$
Show answer & explanation

$x = 13$

Expand: $3x - 12 = 2x + 1$, subtract $2x$: $x - 12 = 1$, add 12: $x = 13$.

Q15. A line passes through $(1, 3)$ and $(3, 7)$. What is its slope?

Intermediate
A $2$ B $1$ C $\frac{1}{2}$ D $4$
Show answer & explanation

$2$

Slope $m = \frac{7-3}{3-1} = \frac{4}{2} = 2$.

Q16. The lines $y = 2x + 1$ and $y = 2x - 3$ are parallel.

Intermediate
A True B False
Show answer & explanation

True

Both have slope $2$, so they are parallel.

Q17. The equation $2x + 3y = 6$ represents a line with slope $-\frac{2}{3}$.

Intermediate
A True B False
Show answer & explanation

True

Rewrite as $y = -\frac{2}{3}x + 2$, so slope is $-\frac{2}{3}$.

Q18. The solution to $7x - 2 = 5x + 4$ is $x =$ ___.

Intermediate
Show answer & explanation

—

Subtract $5x$: $2x - 2 = 4$, add 2: $2x = 6$, divide by 2: $x = 3$.

Open the full Vector Basics kit Flashcards · 26 Quick Revision · 14
Make your own

Your notes can be a kit like these

Every kit here was made from real study material. Point Veda at a chapter, a PDF, a photo or a link and get notes, flashcards, practice MCQs, games and a scored test — free, in 42 languages.

  • Chapter notes
  • Flashcards
  • Practice MCQs
  • Scored tests
  • Exam prep

Get Veda free See what students get

Free to start · No ads · Works in 42 languages