Identify a binomial.

What must be added to 5y²+3y + 1 to get 3y³ -7y²+8

Find the value of the y-intercept in the equation 3x-y+5=0.

𝐴𝑃 is perpendicular bisector of 𝐵𝐶.
1. What segment lengths are equal? Explain your reasoning.
2. Find AB.
3. Explain why D is on 𝐴𝑃.

Identify a monomial.

Convert the equation 5x + 4y = 12 into y = mx + c and find its y-intercept.

What must be subtracted from 3x²-5xy -2y²-3 to get 5x²-7xy -3y²+3x

𝐴𝑃 is the perpendicular bisector of 𝐵𝐶.
a. What segment lengths in the diagram are equal?
b. Is A on 𝐴𝑃?

Use the square of a binomial to find the value. 56²

Is the given conjecture correct? Provide arguments to support your answer.
The product of any two consecutive odd numbers is 1 less than a perfect square.

Name the polynomial based on its degree and number of terms.

In an academic contest correct answers earn 12 points and incorrect answers lose 5
points. In the final round, school A starts with 165 points and gives the same number
of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.
ii)How many answers did each school get correct in the final round?

A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are two integers and x is a variable. 2x+3=8, for example, is a linear equation with a single variable. As a result, this equation has only one solution, x = 5/2.
¶The standard form of a linear equation in one variable is: ax + b = 0
Where,
The letters 'a' and 'b' are real numbers.
'a' and 'b' are both greater than zero.

Determine the equation of the line that passes through 

Is the given conjecture correct? Provide arguments to support your answer.
The product of any two consecutive even numbers is 1 less than a perfect square

Identify a linear polynomial.

Find the value of x. Identify the theorem used to find the answer.