Algebraic Expressions as Pattern

Q.

If x is an even number, then the next even number is ______.

1. 2(x+1)

2. 2(x+2)

3. (x+2)

4. 2x

Q. Follow the pattern given below:
3, 7, 11, 15, _ , 23, ...
Find the missing term.

1. 17
2. 18
3. 21
4. 19

Q.

Fill in the blanks with suitable numbers.

Q.

Observe the pattern :
Find the number of matchsticks required to make 'n' number of 2’s.

1. None of the above

2. 2n

3. 5n

4. 5x

Q.

What is the number of matchsticks needed to make nC patterns?

1. 2n

2. 3x

3. 5n

4. 3n

Q.

Write the following into algebraic language.

The sum of the square of $x$ and cube of $y$.

Q.

Observe the following pattern,

1, 4, 7, 10, 13

What will be the next term?

1. 16

2. -16

3. 15

4. -15

Q. Fill in the blank:
(vi) The addition of $5,7xy,6$and $3xy=\dots \dots \dots ..$

Q. The expression represents the pattern 4, 7 , 10, 13, .... perfectly.

1. 2n + 2
2. 3n + 1
3. n + 4
4. 4n

Q. Which of the given expressions represent the pattern 1, 4, 7, 10, 13..... ?

1. 3n+1
2. 3n+2
3. 3n-2
4. 3n

Q. In the problem below there is a particular pattern followed, find the missing term which will follow the same pattern.
$(5,12)(7,18)(9,24)(11,30),?$

1. $(13,24)$
2. $(13,36)$
3. $(13,42)$
4. $(13,26)$

Q. If the $n^{th}$ term in a pattern is $2n^2+5$, then find the difference between $6^{th}$ and $4^{th}$ term.

1. 30
2. 10
3. 15
4. 40

Q. The $n^{th}$ term of the pattern 2, 5, 10, 17..... is ______.

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

Q. What is the number of matchsticks needed to make $n$ number of $T$ patterns?

1. $13n$
2. $14n$
3. $16n$
4. $12n$

Q. Observe the pattern given below.
2, 6, 10, 14, ...
The algebraic expression for the $n^{\text{th}}$ term of the pattern is .

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

Q.

Name the property where $\mathrm{a},\mathrm{b}\mathrm{and}\mathrm{c}$

$a+b=b+a:\left(\right)$

Q.

Which of the following statements is true or false.

If a and b are two whole numbers and $a<b$, then

$a+1<b+1$ ·

1. True
2. False

Q. Mark (✓) against the correct answer

If $5x-\frac{3}{4}=2x-\frac{2}{3},$ then x = ?

(a) $\frac{1}{12}$
(b) $\frac{1}{4}$
(c) 36
(d) $\frac{1}{36}$

Q.

The $n^{th}$ term of the pattern 1, 4, 9, 16, 25...... is _____.

1. n+3

2. n+5

3. n(n-1)

4. $n^2$

Q.

Express in the algebraic form by using signs and symbols:

$n$times six decreased by $5$

Q. What is the number of matchsticks needed to make $n$ numbers of $T$ patterns?

1. $13n$
2. $14n$
3. $16n$
4. $12n$

Q. In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many like both coffee and tea?

Q. Give an algebraic expression for the pattern 1, 8, 27, 64.........

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

Q. If the $n^{th}$ term in a pattern is $2n^2+5$, then find the difference between $6^{th}$ and $4^{th}$ term.

1. 30
2. 10
3. 15
4. 40

Q.

Observe the following pattern,

1, 4, 7, 10, 13

What will be the next term?

1. -15

2. -16

3. 15

4. 16

Q. Addition is commutative for integers.

1. True
2. False

Q. Q.3. Joselin reads for $\frac{1}{5}$ hour on the first day, $\frac{1}{4}$ on the second day and $\frac{1}{3}$ hour on the third day. If this pattern continues, how long will she read on the fifth day.

Q. Observe the following patterns and fill in the blanks to make the statements true:
$–5\times 4=–20$
– 5 × 3 = – 15 = –20 – ( – 5)
– 5 × 2 = _______ = – 15 – ( –5)
– 5 × 1 = _______ = _______
– 5 × 0 = 0 = _______
– 5 × – 1 = 5 = _______
– 5 × – 2 = _______ = _______

Q. The number of matchsticks required to make the given pattern can be given by $4n+1.$

1. False
2. True

Q.

Name the property related to the following statements.
$9+6=6+9$