Value of an Algebraic Expression

Q.

Question 114
Draw all lines of symmetry for each of the following figures as given below.

Q.

A cylindrical pencil sharpened at one edge is the combination of :

1. a cone and a cylinder

2. frustum of a cone and a cylinder

3. a hemisphere and a cylinder

4. two cylinders

Q.

In the equation $y=x^2-2x+2$, what is the value of $y$, if the value of $x=-2$?

1. $2$
2. $6$
3. $8$
4. $10$

Q. Simplify the expression 3(x + y + xy) + xyz - 2xy - 30 and find its value when x = 6 , y = -7, and z = 4.

1. - 196
2. 201
3. - 148
4. - 201

Q. Samuel has read a quarter of a storybook which is 124 pages long. How many pages are still left for Samuel to read?

1. 100
2. 97
3. 93
4. 91

Q. Find the value of $2a+4b+5c,whena=5,b=10,c=20$.

1. 150
2. 160
3. 140
4. 130

Q.

The area ( in $c{m}^2$ ) of one of the most common Indian sweets as per the given dimensions is ___ .

Q.

$\frac{3}{4}\times \frac{-2}{3}=$ _______.

Q. Puja is the owner of a farm shown in the figure. She goes to the market to buy fencing wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered.

1. 55 m
2. 70 m
3. 45 m
4. 60 m

Q. Evaluate the following algebraic expression $x^2+2y$ for $x=1$ & $y=1$.

1. 2
2. 3
3. 1
4. 4

Q. Find the value of $2a+4b+5c$ when $a=5,b=10$ and $c=20.$

1. 75
2. 35
3. 120
4. 150

Q. The figures that have more than 1 line of symmetry are

1. Square
2. Rectangle
3. Parallelogram
4. Rhombus
5. Trapezium
6. Regular Hexagon
7. Regular pentagon
8. Circle
9. Scalene triangle

Q. Find the value of $5x+3y-6z,$ when $x=3,y=5$ and $z=4.$

1. 6
2. 8
3. 12
4. 4

Q.

Add the following rational numbers.

$\frac{2}{5}$ and $\frac{-3}{5}$

Q. If $y=4x^2+6$, then match the corresponding value of y for the given values of x.

1. $y=10$
2. $y=22$
3. $y=42$
4. $y=106$

Q.

Identify the operations (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.
$z+1$

Q.

Find the number of lines of symmetry of the following figure and also draw these lines:

Q.

The line of symmetry for the following figure is:

1. 

2. 

3. 

4. 

Q.

Find the value of expression:
2a - 2b - 10 + 4a + b, if a = 5 and b = 1.

1. -1

2. 19

3. -19

4. 20

Q. Find the number of lines of symmetry in each of the following shapes.

Q. Find the value of (13xy + 6zx - 19yz), if x = 1, y = 2, and z = 1.

1. - 5
2. - 6
3. 6
4. 5

Q. Find the value of:
$5x+3y-6z,whenx=3,y=5,z=4$

1. 6
2. 8
3. 7
4. 5

Q. A rocket flies at a speed of $2.6\times {10}^7$ m/s . If the speed of a jet is $130000$ m/s, then the rocket's speed is _____ times the speed of the jet.

1. 240
2. 2400
3. 200
4. 2000

Q. What is x + y when x = -6 and y = -9?

1. -54
2. 54
3. -15
4. 15

Q. What is the number of lines of symmetry for the given figure?

1. 3
2. 4
3. 1
4. 2

Q. Find the value of $2a+4b+5c$ when $a=5,b=10$ and $c=20.$

1. 75
2. 35
3. 150
4. 120

Q. Find the value of
$(3x^3+2x^2+11)\text{at}x=-1.$

1. 11
2. 10
3. -10
4. 7

Q. If the value of $x$ is 4, then the value of $3x+4$ is.

1. 8
2. 12
3. 16

Q. Surface area of a cuboid is given by $A=2(lb+bh+hl).$
If $l=16\text{cm,}b=5\text{cm}$ and $h=2\text{cm},$ then its surface area is ___.

1. $222c{m}^2$
2. $224c{m}^2$
3. $244c{m}^2$
4. $122c{m}^2$

Q.

What is the value of 3x - 5y when x = 1 and y = -1?

1. - 2

2. - 8

3. 2

4. 8