Making Polynomial Expression from a Word Problem

Q.

The difference between two whole numbers is $66$ and the ratio of the two numbers is $2:5$. What are the two numbers?

Q. A grocery store has advertised a sale on ice cream. Each carton of any flavor of ice cream costs $3.79. If Millie buys one carton of strawberry ice cream and one carton of chocolate ice cream, write an algebraic expression that represents the total cost of buying the ice cream.

1. $3.79\times (s+c)$ $
2. $3.79sc$ $
3. $3.79\times (s+c)$
4. All of the above.

Q.

Write algebraic expression for the statement: $a$ increased by twice of $b$

Q. A new park was designed to contain two circular gardens. Garden A has a diameter of 50 m, and garden B has a diameter of 70 m. If the gardener wants to outline the gardens in edging, how many meters will be needed to outline the smaller garden? (Write in terms of π.)

1. $120\pi m$
2. $70\pi m$
3. $50\pi m$
4. $20\pi m$

Q. Adidas has shoe manufacturing facilities in m cities. Each city has four factories. Each factory has 6 machines. If each machine can make t shoes daily, how many shoes will be manufactured by Adidas each day?

1. 16mt
2. 18mt
3. 22mt
4. 24mt

Q.

Translate the algebraic expression shown below into a verbal expression.

The fraction with variable $\mathrm{x}$ in the numerator and $6$ in the denominator.

1. The sum of six and some number

2. The product of six and some number

3. The quotient of some number and six

4. The difference between six and some number

Q. Adidas has manufacturing facilities in 8 cities, 4 factories in each city with 5 shoe manufacturing machines in each of them. If each machine can print 100 shoes daily, how many shoes will be manufactured by Adidas in 1 day?

Q.

Rahul spends $Rs$. $y$ daily and saves $Rs$. $z$ per week. What is his income for three weeks.

Q.

Write the algebraic expression:

Five times $y$ is subtracted from $10.$

Q.

Seema has $15$marbles on Monday. Her brother gave $5$ more on Tuesday and took away $3$ from her on Wednesday and she received $7$ from a friend on Thursday. How many marbles will she have on Saturday if her brother gave her $5$marbles on Friday$?$

Q. If the sum of three consecutive integers is $72$, then the largest of the three integers is

Q. What is the expression for the area of a rectangle whose length is $0.5p-0.25q$ and height is $4(2p+q)?$

1. $2p^2-q^2$
2. $2p^2+q^2$
3. $4p^2-q^2$
4. $4p^2+q^2$

Q. Adidas has shoe manufacturing facilities in m cities. Each city has four factories. If each factory has 6 machines then total m machines are there.

Q. John's bag contains a total of $10$ marbles of blue, white and red color. Find the number of white marbles in the bag if the number of blue and red marbles are $4$ and $3$ respectively.

1. $2$
2. $3$
3. $4$
4. None of the above

Q. Adidas has shoe manufacturing facilities in m cities. Each city has four factories. How many factories are there in total?

1. m
2. 2m
3. 4m
4. 8m

Q. EdWear has printing facilities in $y$ cities. Each city has two factories. How many factories are there in total?

1. $y$
2. $x$
3. $2y$
4. $2x$

Q. EdWear has printing facilities in $y$ cities. Each city has two factories. Each factory has $5$ T- shirt printing machines. If each machine can print $x$ T-shirts daily, how many T- Shirts will be printed by EdWear each day?

1. $10xy$
2. $20xy$
3. $30xy$
4. $40xy$

Q. EdWear has printing facilities in $y$ cities. Each city has two factories. If each factory has $5$ T- shirt printing machines. How many machines are there in total?

1. $5x$
2. $5y$
3. $10x$
4. $10y$

Q. EdWear has printing facilities in 3 cities, 2 factories in each city with 5 T- shirt printing machines in each of them. If each machine can print 10 T-shirts daily, how many T- Shirts will be printed by EdWear in 1 day?

1. 100
2. 200
3. 300
4. 400

Q. Jack distributes 'a' chocolates to each student on his birthday. The class has 3x boys and 4y girls. How many chocolates did Jack distributed?

1. 3ax + 4ay
2. 3ay + 4ax
3. 3a + 4ay
4. 3ax + 4a

Q.

Suppose $2,1=9$ $4,2=18$ $5,3=18$ $6,3=27$ then $9,4=?$

Q.

Convert the following verbal expression into algebraic expressions.

Twice the sum of $z$ and $-16$

Q. In total, a Beetle's basket comprises $50$ flowers, including roses, lilies, and sunflowers. How many sunflowers are in the basket if there are $20$ roses and $15$ lilies?

Q. The teacher distributes ${}^{\prime }{s}^{\prime }$ sheets of graph paper to each student. The class has $2b$ boys and $3g$ girls. What is the expression for the total number of sheets of graph paper distributed?

1. $2s+3sg$
2. $2sg+3sb$
3. $2sb+3sg$
4. $2sb+3g$
5. All of the above.

Q. What will be the area of a rectangle whose length is 0.5m - 0.5n and height is 2(m + n)?

1. $m^2+n^2$
2. $m^2-n^2$
3. $m^2+n^3$
4. $m^3+n^2$

Q. The teacher distributes $1$ sheet of graph paper to each student. The class has $2b$ boys and $3g$ girls. What is the expression for the total number of sheets of graph paper distributed?

1. $2b+3g$
2. $2g+3b$
3. $4b+3g$
4. $2b+5g$

Q. Form an algebraic expression: $y$ is multiplied by $4$ and then $25$ is subtracted from the product.

1. $4x-25$
2. $4y+25$
3. $4y-25$
4. $25y-4$