Free Printable Regents Review Part 1

1.

When b > 0 and d is a positive integer, the expression $\left(3b\right)^{\frac{2}{d}}$ is equivalent to

a)

$\frac{1}{\left(\sqrt[d]{3b}\right)^2}$

b)

$\left(\sqrt[]{3b}\right)^d$

c)

$\frac{1}{\sqrt[]{3b^d}}$

d)

$\left(\sqrt[d]{3b}\right)^2$

2.

Julia averaged 85 on the first three tests of the semester in her mathematics class. If she scores 93 on each of the remaining tests, her average will be 90. Which equation could be used to determine how many tests, T, are left in the semester?

a)

$\frac{255+93T}{3T}=90$

b)

$\frac{255+90T}{3T}=93$

c)

$\frac{255+93T}{T+3}=90$

d)

$\frac{255+90T}{T+3}=93$

3.

Given $i$ is the imaginary unit, $\left(2-yi\right)^2$ in simplest form is

a)

$y^2-4yi+4$

b)

$-y^2-4yi+4$

c)

$-y^2+4$

d)

$y^2+4$

4.

Which graph has the following characteristics:

- three real zeros

- $as\ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow-\infty$

- $as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

a)

b)

c)

d)

5.

The solution set for the equation $\sqrt[]{56-x}=x$ is

a)

{-8, 7}

b)

{-7, 8}

c)

{7}

d)

{ }

6.

The zeros for $f\left(x\right)=x^4-4x^3-9x^2+36x$ are

a)

$\left\{0,\ \pm3,\ 4\right\}$

b)

{0, 3, 4}

c)

$\left\{0,\ \pm3,\ -4\right\}$

d)

{0, 3, -4}

7.

Anne has a coin. She does not know if it is a fair coin. She flipped the coin 100 times and obtained 73 heads and 27 tails. She ran a computer simulation of 200 samples of 100 fair coin flips.

Given the results of her coin flips and of her computer simulation, which statement is most accurate?

a)

73 of the computer's next 100 coin flips will be heads.

b)

50 of her next 100 coin flips will be heads.

c)

Her coin is not fair.

d)

Her coin is fair.

8.

If $g\left(c\right)=1-c^2$ and $m\left(c\right)=c+1$ , then which statement is NOT true?

a)

$g\left(c\right)\times m\left(c\right)=1+c-c^2-c^3$

b)

$g\left(c\right)+m\left(c\right)=2+c-c^2$

c)

$m\left(c\right)-g\left(c\right)=c+c^2$

d)

$\frac{m\left(c\right)}{g\left(c\right)}=\frac{-1}{1-c}$

9.

The heights of women in the United States are normally distributed with a mean of 64 inches and a standard deviation of 2.75 inches. The percent of women whose heights are between 64 and 69.5 inches, to the nearest whole percent, is

a)

6

b)

48

c)

68

d)

95

10.

The formula below can be used to model which scenario?

$a_1=3000$

$a_n=0.80a_{n-1}$

a)

The first row of a stadium has 3000 seats, and each row thereafter has 80 more seats than the row in front of it.

b)

The last row of a stadium has 3000 seats, and each row before it has 80 fewer seats than the row behind it.

c)

A bank account starts with a deposit of $3000, and each year it grows by 80%.

d)

The initial value of a specialty toy is $3000, and its value each of the following years is 20% less.

Regents Review Part 1

Total questions: 10

Worksheet time: 30mins

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