Algebra EOC Questions

Find the zeros of this quadratic.

• b=4/5, b=3

• b=4, b=-3

• b=1/5, b=3

• b=4/5, b=-3

Based on the information provided, which statement explains why his solution is incorrect?

• He forgot to multiply x by 2 in Step 1.

• He added x to both sides of the equation in Step 2 instead of subtracting x.

• He added 1 on both sides of the equation in Step 3 instead of subtracting 1

• He multiplied by the reciprocal of 3 to get x = 2 in Step 4.

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Consider the following polynomial functions. f(a) = (2a-7+a²) g(a) = (5-a) Which of the following are true?

• The expression that represents the sum of the polynomials is a first-degree polynomial.

• The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

• The sum of f(a) and g(a) can be represented by the expression a²+a-2

• The different of f(a) and g(a) can be represented by the expression a²+a-12

• The product of f(a) and g(a) can be represented by the expression

  -a³+3a²+17a-35

Which of the following statements about closure is NOT true?

• Polynomials are closed under addition.

• Polynomials are closed under subtraction.

• Polynomials are closed under multiplication.

• Polynomials are closed under division.

A gardener plants two types of trees in a park: Type A is five feet tall and grows at a rate of 12 inches per year. Type B is three feet tall and grows at a rate of 15 inches per year. Algebraically determine how many years it will take for these trees to be the same height.

• 6 years

• 7 years

• 8 years

• 9 years

• 10 years

A parking garage charges an initial fee of $7.00 for up to 2 hours of parking, and an hourly rate for each additional hour. The table below outlines the prices for up to 5 hours of parking. Which of the following linear equation(s) can be used to find x, the hourly parking rate after the initial fee?

• 7.00 + x = 20.50

• 11.50 + 2x = 20.50

• 7 + 4.50x = 16.00

• 3x + 7.00 = 20.50

Which is a solution of
5(v + 3) - 10v > -10

• v < 5

• v > 5

• v > -5

• v < -5

Which expression is equivalent to (7x³)² (x⁸)^1/2?

• 14x¹⁰

• 49x¹⁰

• 14x⁷

• 49x⁷