NY Regents Algebra I Practice Questions

If $f(x) = \frac{3x + 4}{2}$, then $f(8)$ is

If $x \neq 0$, then the common ratio of the sequence $x, 2x^2, 4x^3, 8x^4, 16x^5, \ldots$ is

The expression $36x^2 - 9$ is equivalent to

Given the relation $R = \{(-4,2), (3,6), (x,8), (-1,4)\}$, which value of $x$ would make this relation a function?

If the point $(K, -5)$ lies on the line whose equation is $3x + y = 7$, then the value of $K$ is

The expression $\frac{1}{3} x(6x^2 - 3x + 9)$ is equivalent to

The graphs below represent four polynomial functions. Which of these functions has zeros of 2 and $-3$?

What is the constant term of the polynomial $4d + 6 + 3d^{2}$?

Emily was given $600 for her high school graduation. She invested it in an account that earns 2.4% interest per year. If she does not make any deposits or withdrawals, which expression can be used to determine the amount of money that will be in the account after 4 years?

Different ways to represent data are shown below. Which data representations have a median of 2?

What would be the order of these quadratic functions when they are arranged from the narrowest graph to the widest graph? $f(x) = -5x^{2} \qquad g(x) = 0.5x^{2} \qquad h(x) = 3x^{2}$

At Berkeley Central High School, a survey was conducted to see if students preferred cheeseburgers, pizza, or hot dogs for lunch. The results of this survey are shown in the table below.

Based on this survey, what percent of the students preferred pizza?

Which situation could be modeled by a linear function?

Which function has the smallest y-intercept value?

When solving $x^2 - 10x - 13 = 0$ by completing the square, which equation is a step in the process?

When $3x^2 + 7x - 6 + 2x^3$ is written in standard form, the leading coefficient is

Which of the equations below have the same solution? I. $10(x - 5) = -15$ II. $4 + 2(x - 2) = 9$ III. $\frac{1}{3} x = \frac{3}{2}$

In an organism, the number of cells, $C(d)$, after $d$ days can be represented by the function $C(d) = 120 \cdot 2^{3d}$. This function can also be expressed as

A sequence is defined recursively by $a_{1} = -2$ and $a_{n} = 3a_{n-1} + 1$. What is the value of $a_{4}$?

A swimmer set a world record in the women's 1500-meter freestyle, finishing the race in 15.42 minutes. If 1 meter is approximately 3.281 feet, which set of calculations could be used to convert her speed to miles per hour?