1.
Write the expression for
a) 32 plus a number n
b) 58 less than a number n
Correct Answer
A. 32+n, n-58
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.
The coefficient of x² in – 5x²y is
Correct Answer
B. -5
Explanation
The coefficient of x² in -5x²y is -5y. This is because the coefficient of x² is the number that multiplies x², and in this case, it is -5.
3.
The value of 3x² – 5x + 3, if x=1 is
Correct Answer
A. 1
Explanation
When x=1, we substitute the value of x into the expression 3xÂ² - 5x + 3. This gives us 3(1)Â² - 5(1) + 3, which simplifies to 3(1) - 5 + 3. Further simplifying, we get 3 - 5 + 3, which equals 1. Therefore, the value of 3xÂ² - 5x + 3 when x=1 is 1.
4.
Solve the equation: –z² + 22z² – 5z – 11z² + 5z
Correct Answer
A. 10 z^{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 expression 4p²q – 4pq² + 1 is a
Correct Answer
B. Trinomial
Explanation
The given expression has three terms: 4p²q, -4pq², and 1. Therefore, it is a trinomial.
6.
I= PRT so what does R=
Correct Answer
A. I/PT
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.
Which of the following pairs of terms is of unlike terms?
Correct Answer
D. – 4x²; – Axy²
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.
8.
(5x – y + 8) - (5x + 3y)
Correct Answer
C. 8 – 4y
Explanation
The given expression is (5x â€“ 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 â€“ 4y.
9.
Subtracting -3x² – 1 from 2x + 1
Correct Answer
D. 3x² + 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.
10.
What is the coefficient of y^{2} in the expression 3y^{2} + 4x?
Correct Answer
A. 3
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.