Algebraic Expressions Class 7 MCQ Quiz

1) Write the expression for a) 32 plus a number n b) 58 less than a number n

32+n, n-58

32-n, 58+n

32-58+n

32-n+58

The expression "32 + n" represents the sum of 32 and a number n. The expression "n-58" represents the result of subtracting a number 58 from n.

Explanation

The expression "32 + n" represents the sum of 32 and a number n. The expression "n-58" represents the result of subtracting a number 58 from n.

2) What is the coefficient of y² in the expression 3y² + 4x?

3

4

1

X

The coefficient of y^2 in the expression 3y^2 + 4x is 3. This is because the coefficient is the number that multiplies the variable, which in this case is y^2. The coefficient of y^2 is 3, as it is the number that is directly in front of the variable term.

Explanation

The coefficient of y^2 in the expression 3y^2 + 4x is 3. This is because the coefficient is the number that multiplies the variable, which in this case is y^2. The coefficient of y^2 is 3, as it is the number that is directly in front of the variable term.

3) The expression 4p²q – 4pq² + 1 is a

Binomial

Trinomial

Monomial

None of the above

The given expression has three terms: 4p²q, -4pq², and 1. Therefore, it is a trinomial.

Explanation

The given expression has three terms: 4p²q, -4pq², and 1. Therefore, it is a trinomial.

4) Solve the equation: –z² + 22z² – 5z – 11z² + 5z

10 z2

Z

-10 z2

Z

The equation is simplified by combining like terms. By combining the terms -z^2, 22z^2, -11z^2, and 10z^2, we get 10z^2. Therefore, the correct answer is 10z^2.

Explanation

The equation is simplified by combining like terms. By combining the terms -z^2, 22z^2, -11z^2, and 10z^2, we get 10z^2. Therefore, the correct answer is 10z^2.

5) The value of 3x² – 5x + 3, if x=1 is

1

-1

0

2

When x=1, we substitute the value of x into the expression 3x² - 5x + 3. This gives us 3(1)² - 5(1) + 3, which simplifies to 3(1) - 5 + 3. Further simplifying, we get 3 - 5 + 3, which equals 1. Therefore, the value of 3x² - 5x + 3 when x=1 is 1.

Explanation

When x=1, we substitute the value of x into the expression 3x² - 5x + 3. This gives us 3(1)² - 5(1) + 3, which simplifies to 3(1) - 5 + 3. Further simplifying, we get 3 - 5 + 3, which equals 1. Therefore, the value of 3x² - 5x + 3 when x=1 is 1.

6) I= PRT so what does R=

I/PT

PT/I

T/PI

P/TI

The formula I = PRT represents the relationship between interest (I), principal (P), rate (R), and time (T). To find the value of R, we need to isolate it on one side of the equation. By dividing both sides of the equation by PT, we get R = I/PT. This means that the rate is equal to the interest divided by the product of the principal and time.

Explanation

The formula I = PRT represents the relationship between interest (I), principal (P), rate (R), and time (T). To find the value of R, we need to isolate it on one side of the equation. By dividing both sides of the equation by PT, we get R = I/PT. This means that the rate is equal to the interest divided by the product of the principal and time.

7) The coefficient of x² in – 5x² is

-4

-5

4

5

The coefficient of a variable is the numerical factor that multiplies it. In the expression –5x², the variable is x², and the numerical factor multiplying it is –5. Therefore, the coefficient of x² is –5.

Explanation

The coefficient of a variable is the numerical factor that multiplies it. In the expression –5x², the variable is x², and the numerical factor multiplying it is –5. Therefore, the coefficient of x² is –5.

8) Which of the following pairs of terms is of unlike terms?

-p²q², 12p²q²

Qp², 13p²q

41,100

– 4x²; – Axy²

The given pair of terms, "-4x^2" and "-Axy^2", is of unlike terms because they have different variables. The first term has a variable "x" raised to the power of 2, while the second term has a variable "xy" raised to the power of 2. Additionally, the coefficient of the second term is a variable "A", whereas the coefficient of the first term is a constant "-4". Therefore, this pair of terms is unlike.

Explanation

The given pair of terms, "-4x^2" and "-Axy^2", is of unlike terms because they have different variables. The first term has a variable "x" raised to the power of 2, while the second term has a variable "xy" raised to the power of 2. Additionally, the coefficient of the second term is a variable "A", whereas the coefficient of the first term is a constant "-4". Therefore, this pair of terms is unlike.

9) (5x – y + 8) - (5x + 3y)

4x – 8

4y – 8

8 – 4y

4x + 8

The given expression is (5x – y + 8) - (5x + 3y). To simplify this expression, we can remove the parentheses and combine like terms. Distributing the negative sign inside the second set of parentheses, we get 5x - y + 8 - 5x - 3y. Combining like terms, we have -4y + 8. Therefore, the correct answer is 8 – 4y.

Explanation

The given expression is (5x – y + 8) - (5x + 3y). To simplify this expression, we can remove the parentheses and combine like terms. Distributing the negative sign inside the second set of parentheses, we get 5x - y + 8 - 5x - 3y. Combining like terms, we have -4y + 8. Therefore, the correct answer is 8 – 4y.

10) Subtracting -3x² – 1 from 2x + 1

– 3x² + 2x – 2

– 3x² + 2

3x² – 2

3x² + 2x + 2

The given expression is subtracting -3x^2 - 1 from 2x + 1. To subtract the expression, we distribute the negative sign to each term in -3x^2 - 1, which gives us -(-3x^2) - (-1). Simplifying further, we get 3x^2 + 2. Thus, the correct answer is 3x^2 + 2x + 2.

Explanation

The given expression is subtracting -3x^2 - 1 from 2x + 1. To subtract the expression, we distribute the negative sign to each term in -3x^2 - 1, which gives us -(-3x^2) - (-1). Simplifying further, we get 3x^2 + 2. Thus, the correct answer is 3x^2 + 2x + 2.