Algebra

If $1$ kg of sugar costs ₹$p$, what is the cost of $5$ kg of sugar?

Express the statement 'Take $x$ away from $20$' algebraically.

Which expression represents 'The difference of $x$ and $y$, where $x$ is greater than $y$'?

If $x = 0$, what is the value of the expression $5x + 2$?

What is the rule for: 'Add 4 to $n$ and then multiply the result by 2'?

Algebraic variables are generally represented by:

Five years ago, Ali was $x$ years old. How old is he now?

If $x$ is the predecessor of $y$, which of the following represents the successor of $y$ in terms of $x$?

A square and a rectangle have the same perimeter. If the side of the square is $s$ and the length of the rectangle is $l$, what is the expression for the breadth of the rectangle?

If the operation $\oplus$ is defined as $a \oplus b = (a \times b) + (a - b)$, find the value of $5 \oplus 3$.

In a row of linked heptagons (7-sided shapes), the rule is $6n + 1$. How many matchsticks are needed for 2 linked heptagons?

A matchstick pattern rule is $25k$. If $k = 4$, find the total number of matchsticks.

If the rule for a pattern is $13n + 2$, how many matchsticks are required for the $1^{st}$ figure?

A plus sign (+) is made of 4 matchsticks. What is the expression for $p$ such separate signs?

Which algebraic rule represents the sequence 21, 41, 61, 81...?

The total number of matchsticks is 46. If the pattern rule is $12n - 2$, find the value of $n$.

Separate 'Dragonfly' shapes are made using 14 matchsticks each. How many sticks are needed for 10 such shapes?

In a matchstick pattern with the rule $ax + 3$, the value is $23$ when $x = 4$. What will the value be when $x = 10$?

A student makes a row of squares (rule $3n + 1$). They have $100$ matchsticks and notice that after completing the row, they have exactly $3$ matchsticks left over. How many squares did they build?

A pattern of joined hexagons follows the rule $5n + 1$. How many extra matchsticks are required to grow the pattern from $4$ hexagons to $9$ hexagons?

Which of these expressions represents '$3$ more than the product of $2$ and $k$'?

If the side of a regular decagon is '$k$', its perimeter is:

Number of minutes in '$h$' hours is:

Express 'The sum of $x$ and $4$ divided by $2$' algebraically.

If a tailor uses $m$ meters of cloth to stitch one shirt, how much cloth is needed for 15 shirts?

If one score is equal to 20 items, how many items are there in $s$ scores?

The total number of sides in $n$ quadrilaterals is:

Which expression represents the total length of the boundary of a shape formed by placing two identical squares of side '$a$' such that they overlap exactly on one side?

In a competitive exam, 3 marks are awarded for every correct answer and 1 mark is deducted for every wrong answer. If a student answers $c$ questions correctly and $w$ questions wrongly, what is the expression for the total score?

A number $y$ is divided by 4 and then 10 is added to the result. If this final value is $x$, which expression correctly relates $y$ to $x$?

How many terms are there in the algebraic expression $ab + cd$?

Which of the following represents the product of variables $p$ and $q$?

In the algebraic expression $12 - 5f$, which of the following is the variable?

A plant is $h$ cm tall. If it grows $g$ cm more, what is its new height in cm?

Three identical squares, each with side length $x$, are placed side-by-side in a single row to form a rectangle. What is the perimeter of the resulting rectangle?

How many terms are there in the algebraic expression $5x^2y - 2xy + 3x - 4$?

What is the value of the expression $2x^2 + 3x - 10$ when $x = 4$?

A rectangular array of dots has $n$ rows and $(n + 2)$ columns. Which expression represents the total number of dots in the array?

A group of $x$ students was supposed to receive $y$ sweets each. If 5 students were absent and the total sweets remained the same, which expression represents how many sweets each present student now receives?

Which of the following expressions represents: 'The sum of $a$ and $b$ is multiplied by the difference of $a$ and $b$'?

A box of crayons contains $c$ colors. How many colors will be there in $10$ such boxes?

A class of $g$ students is divided into $3$ equal teams for a sport. How many students are in each team?

A regular pentagon has five equal sides. If the length of one side is $s$, what is the perimeter of the pentagon?

A notebook has $p$ pages. If a child has already written on $10$ pages, how many pages are blank?

The perimeter of a regular pentagon is $P$ units. What is the expression for the length of one of its sides?

A pattern of dots uses $4$ dots for the first shape, $7$ for the second, and $10$ for the third. Which expression gives the number of dots for the $n$-th shape?

The area of a triangle is given by $\frac{1}{2} \times \text{base} \times \text{height}$. If the base is $b$ and the height is $h$, and the height is doubled, what is the new expression for the area?

A box of $100$ bulbs has $x$ defective bulbs. The rest are sold at ₹$y$ each. If the total cost of the box was ₹$500$, what is the expression for the profit made?

A charity collected ₹$C$. They spent ₹$E$ on administrative costs. The remaining amount was distributed equally among $5$ orphanages. Each orphanage used ₹$1000$ for a party and saved the rest. Which expression represents the amount saved by each orphanage?

A clock gains $m$ minutes every hour. If it is set correctly at $12$ noon, which expression represents the time shown on the clock after $h$ hours in terms of minutes passed since noon?

Which verbal description matches the equation $x - 3 = 7$?

In the equation $14 = z/2$, what is the expression on the Left Hand Side (LHS)?

If you add the suffix '$= 20$' to the algebraic expression '$x + 10$', what does it become?

A symbol, usually a letter, that can take on different numerical values is a:

What is the solution to the equation $x + 0.25 = 1.0$?

Translate into an equation: 'If you take away 10 from half of a number $n$, you get 5'.

In the equation $7m - 7 = 0$, the value of $m$ is:

Which of these is NOT a linear equation in one variable?

If $10 - z = z$, then $z$ is:

Solve for $x$: $x + x + x + 5 = 20$.

Find the solution to $x + 18 = 45$ by trying the given values.

Which value of $a$ makes the equation $3a + 2 = 11$ true?

Using the trial and error method, solve $14 + q = 22$.

Find the value of $n$ for which $\frac{n}{8} = 4$ is true.

Find the value of $x$ that satisfies $15 - \frac{x}{3} = 12$ through trial and error.

Identify the whole number $n$ that satisfies $9 + 3n = 30$.

Determine the value of $w$ that makes $2(w - 5) = 4$ a true statement.

By testing each option, find the solution for $10 - 2(x - 1) = 4$.

Find the value of $x$ that satisfies $\frac{x}{5} + \frac{x}{10} = 3$ using trial and error.

Which value of $y$ makes the equation $3(2y + 1) = 21$ true?