Free Printable Chapter 7 Test

1.

Which of the following is equivalent to $2^{-3}$ ?

a)

$\left(-2\right)\left(-2\right)\left(-2\right)$

b)

$-\frac{1}{\left(2\right)\left(2\right)\left(2\right)}$

c)

$\frac{1}{\left(2\right)\left(2\right)\left(2\right)}$

d)

$\left(2\right)\left(2\right)\left(2\right)$

2.

Evaluate $\left(3+x\right)^{-2}$ for x = -1.

a)

-4

b)

$\frac{1}{4}$

c)

$\frac{10}{9}$

d)

10

3.

Simplify $4b^{-3}$

a)

$-64b^3$

b)

$\frac{1}{64b^3}$

c)

$\frac{1}{4b^3}$

d)

$\frac{4}{b^3}$

4.

Which power of 10 is equivalent to 0.00001?

a)

$10^{-5}$

b)

$10^{-4}$

c)

$10^4$

d)

$10^5$

5.

In 2000, the population of Texas was about 20,900,000 people. Write this in scientific notation.

a)

$2.09\times10^5$

b)

$2.09\times10^7$

c)

$20.9\times10^6$

d)

$209\times10^5$

6.

Which of the following is the standard form of $6.2\times10^{-2}$ ?

a)

-620

b)

$\frac{1}{620}$

c)

0.062

d)

6200

7.

Simplify $y^{10}\cdot y^5$

a)

$y^2$

b)

$y^5$

c)

$y^{15}$

d)

$y^{50}$

8.

Simplify $\left(x^6\right)^3$

a)

$x^2$

b)

$x^3$

c)

$x^9$

d)

$x^{18}$

9.

Simplify $\left(3a^5\right)^2$

a)

$3a^7$

b)

$3a^{10}$

c)

$9a^5$

d)

$9a^{10}$

10.

In June 2005, Miami International Airport served about $8.9\times10^4$ airline passengers per day. Find the approximate number of airline passengers served in total during the 30 days of June.

a)

$2.67\times10^6$

b)

$8.01\times10^7$

c)

$26.7\times10^4$

d)

$80.1\times10^5$

11.

Simplify $\frac{a^8}{a^2}$

a)

$a^4$

b)

$a^6$

c)

$a^{10}$

d)

$a^{16}$

12.

Simplify $\left(\frac{2y^4}{x^3}\right)^5$

a)

$\frac{2y^{20}}{x^3}$

b)

$\frac{2y^{20}}{x^{15}}$

c)

$\frac{32y^{20}}{x^{15}}$

d)

$32y^5$

13.

Simplify $\left(\frac{5}{b^4}\right)^{-2}$

a)

$\frac{1.}{25b^4}$

b)

$\frac{5}{b^6}$

c)

$\frac{b^8}{25}$

d)

$-5b^2$

14.

Simplify the quotient $\left(7.2\times10^{-18}\right)\div\left(2.4\times10^6\right)$

a)

$1.728\times10^{-12}$

b)

$3\times10^{-24}$

c)

$3\times10^{-3}$

d)

$4.8\times10^{-24}$

15.

Simplify $256^{\frac{1}{4}}$

a)

4

b)

5

c)

6

d)

64

16.

Simplify $64^{\frac{2}{3}}$

a)

2

b)

8

c)

16

d)

512

17.

Simplify $\left(x^{\frac{1}{2}}\right)^4\cdot\sqrt{x^2}$

a)

$x^2$

b)

$x^3$

c)

$x^{2x}$

d)

$x^9$

18.

When written in standard form, which polynomial has a leading coefficient of 5?

a)

$-7+6y+5y^2$

b)

$x+5$

c)

$x^2-5x^3+2x$

d)

$5y+3y^2-4$

19.

Classify the polynomial $3x^5+3$ according to its degree and number of terms.

a)

cubic binomial

b)

cubic trinomial

c)

quintic binomial

d)

quintic trinomial

20.

Brett has 100 feet of fence with which to make a rectangular cage for his dog. The area of the cage in square feet is given by the polynomial $-w^2+50w$ , where w is the width of the cage in feet. What is the area of the cage if the width is 8 feet?

a)

114

b)

336

c)

384

d)

464

21.

Add $\left(2x^2-5x-7\right)+\left(7x^2+3\right)$

a)

$2x^2+2x-4$

b)

$9x^2-5x-4$

c)

$9x^2-2x-7$

d)

$9x^4-5x-4$

22.

Subtract $\left(7a^2-3a\right)-\left(5a^2-5a\right)$

a)

$2a^2-8a$

b)

$2a^2+2a$

c)

$4$

d)

$12a^2-8a$

23.

Multiply $\left(4rs^3\right)\left(6r^2s^3\right)$

a)

$10r^2s^9$

b)

$10r^3s^6$

c)

$24r^2s^9$

d)

$24r^3s^6$

24.

A rectangle has width w and its length is 2 units shorter than 3 times the width, or 3w - 2. Write a polynomial for the area of the rectangle.

a)

$3w^2-2$

b)

$3w^2-2w$

c)

$4w-2$

d)

$8w-4$

25.

Multiply $\left(x-5\right)\left(2x+4\right)$

a)

$-6x$

b)

$2x^2-26$

c)

$2x^2-20$

d)

$2x^2-6x-20$

26.

Multiply $\left(b+3\right)\left(b^2-5b-7\right)$

a)

$b^3-5b^2-21$

b)

$b^3-2b^2-22b-21$

c)

$3b^3-15b^2-21b$

d)

$4b^3-20b^2-28b$

27.

Multiply $\left(2x+7\right)^2$

a)

$2x^2+7$

b)

$4x^2+49$

c)

$4x^2+14x+49$

d)

$4x^2+28x+49$

28.

Which product results in $x^2-100$ ?

a)

$\left(x-10\right)^2$

b)

$\left(x+10\right)^2$

c)

$x\left(x-100\right)$

d)

$\left(x+10\right)\left(x-10\right)$

Chapter 7 Test

Total questions: 28

Worksheet time: 7hrs 0mins

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