Free Printable Regents Review (Jan. 2019)

1.

The function g(x) is defined as $g\left(x\right)=-2x^2+3x$ . The value of $g\left(-3\right)$ is

a)

-27

b)

-9

c)

27

d)

45

2.

Which expression results in a rational number?

a)

$\sqrt[]{121}-\sqrt[]{21}$

b)

$\sqrt[]{25}\times\sqrt[]{50}$

c)

$\sqrt[]{36}\div\sqrt[]{225}$

d)

$3\sqrt[]{5}+2\sqrt[]{5}$

3.

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116 each and the laptops cost $439 each. If the math department has $6,500 to spend and purchases 30 textbooks, how many laptops can they buy?

a)

6

b)

7

c)

11

d)

12

4.

What is the solution to the equation $\frac{3}{5}\left(x+\frac{4}{3}\right)=1.04$

a)

$3.0\overline{6}$

b)

$0.4$

c)

$-0.4\overline{8}$

d)

$-0.709\overline{3}$

5.

Which relation does not represent a function?

a)

b)

c)

$y=3\sqrt[]{x+1}-2$

d)

6.

If $C=2a^2-5$ and $D=3-a$ , then $C-2D$ equals

a)

$2a^2+a-8$

b)

$2a^2-a-8$

c)

$2a^2+2a-11$

d)

$2a^2-a-11$

7.

The function $f\left(x\right)=2x^2+6x-12.$ has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corresponding range values for $f\left(x\right)$

a)

$\left\{-32,\ -20,\ -12,\ -4\right\}$

b)

$\left\{-16,\ -12,\ -4\right\}$

c)

$\left\{-32,\ -4\right\}$

d)

$\left\{-16,\ -4\right\}$

8.

a)

all positive real numbers

b)

all positive integers

c)

$x\ge0$

d)

$x\ge-1$

9.

Which pair of equations would have (-1,2) as a solution?

a)

$y=x+3\$

and

$y=2^x$

b)

$y=x-1\$

and

$y=2x$

c)

$y=x^2-3x-2$

and

$y=4x+6$

d)

$2x+3y=-4$

and

$y=-\frac{1}{2}x-\frac{3}{2}$

10.

The formula for electrical power, P, is $P=I^2R$ , where $I$ is current and $R$ is resistance. The formula for $I$ in terms of $P$ and $R$ is

a)

$I=\left(\frac{P}{R}\right)^2$

b)

$I=\sqrt[]{\frac{P}{R\text{}}}$

c)

$I=\left(P-R\right)^2$

d)

$I=\sqrt[]{P-R}$

11.

Using the substitution method, Vito is solving the following system of equations algebraically:

$y+3x=-4$

$2x-3y=-21$

Which equivalent equation could Vito use?

a)

$2\left(-3x-4\right)+3x=-21$

b)

$2\left(3x-4\right)+3x=-21$

c)

$2x-3\left(-3x-4\right)=-21$

d)

$2x-3\left(3x-4\right)=-21$

12.

The following conversion was done correctly:

$\frac{3\ miles\ }{1\ hour}\cdot\frac{1\ hour}{60\ \min}\cdot\frac{5280\ ft}{1\ mile}\cdot\frac{12\ inches}{1\ ft}$

What were the final units for this conversion?

a)

minutes per foot

b)

minutes per inch

c)

feet per minute

d)

inches per minute

Regents Review (Jan. 2019)

Total questions: 12

Worksheet time: 36mins

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