Mastering Algebra EOC Practice Problems

Mr. Peters guides students through various math problems, including multiplying radicals, converting equations to slope-intercept form, factoring trinomials, solving systems of equations, and multiplying polynomials. He explains different methods and strategies for each topic, ensuring students understand the concepts and can apply them effectively.

What is the product of multiplying radical 75 and radical 27 using the first method?

• 30

• 45

• 60

• 15

What is the simplified form of radical 2025?

• 45

• 50

• 55

• 40

What is the slope-intercept form of the equation 5x - 2y = 8?

• y = 5/2x - 4

• y = 5/2x + 4

• y = -5/2x + 4

• y = -5/2x - 4

Which step is necessary to isolate y in the equation 5x - 2y = 8?

• Subtract 5x

• Add 5x

• Multiply by 2

• Divide by -2

What is the correct factor of the trinomial 5x^2 + 13x + 6 using the slip and slide method?

• 5x + 3

• x + 3

• x + 2

• 5x + 2

What does the slip and slide method involve?

• Multiplying the leading coefficient by the constant term

• Adding the leading coefficient to the constant term

• Dividing the leading coefficient by the constant term

• Subtracting the leading coefficient from the constant term

What is the solution for x in the system of equations -8x - 5y = -11 and 6x + 10y = 52?

• 5

• -3

• 3

• -5

How do you solve for y after finding x in a system of equations?

• Subtract x from the constant term

• Add x to the constant term

• Multiply x by the coefficient of y

• Substitute x back into one of the original equations

What is the result of multiplying the polynomials (x + 3) and (6x^2 - 7x + 2)?

• 6x^3 + 11x^2 - 19x + 6

• 6x^3 - 11x^2 + 19x - 6

• 6x^3 + 11x^2 + 19x + 6

• 6x^3 - 11x^2 - 19x + 6

What is the purpose of the box method in polynomial multiplication?

• To organize terms and simplify combining like terms

• To increase the number of terms

• To determine the highest exponent

• To separate variables from constants