Test 2 Review

Rational Numbers

100

1/4 + 11/5

49/20 or 2.45

200

1 and 3/5 minus 4 and 1/6

-77/30 or -2.5(6)repeating

300

2 and 2/9 times  negative 3 and 3/5.

-8

400

(-2.75)/(-0.0005) (express answer in scientific notation)

5.5 x 10³

500

[-1/4 - (-1/6)] / [1/3 + 1/2]

-1/10

Integers

100

|-3*49|

147

200

Find the value of |a|/a if a > 0.

1

300

If a and b are both less than zero, what is (-a) + (-b)

a + b

400

If a > 0 and b < 0 and 0 < c < a what is (a - b) + (c - a)

b + c

500

Suppose a < 0, b > 0, what is the sign of

 (a³b⁴)/(a^-4b⁵), show reasoning.

negative

Exponents

100

5⁵/25²

5

200

(2²)(2^-5)(2³), justify your answer

1

300

27^5/3

243

400

(3x²y)⁵/(9x^-4y³)^-2, leave answer in exponential form.

3⁹x²y¹¹

500

(100/81)^-1/2 divided by

 (3^-2/5)^-1

1/50

Vocabulary

100

The sum of a number and its opposite is 0.

What is Additive Inverse?

200

If a, b, c > 0 then a(b+c)=ab+ac

What is the distributive property?

300

The number the that is being raised to a power.

What is a base of an exponent?

400

The representation of a number in completely factored exponential form.

What is prime factorization?

500

If b is not 0 the a/b = a * 1/b.

What  is the definition of division?

Word Problems

100

List all prime numbers less than 20 but greater than 0.

2,3,5,7,11,13,17,19

200

A company planned to donate 640 packs of cookies, 320 bottles of mineral water, and $800 worth of cash to a senior center. Suppose the maximum number of cookies, bottles of mineral water, and cash are to be placed equally in gift bags before the donation. How many gift bags are needed?

160 bags

300

Mrs. Moss has 3 school going children. The product of their ages, herself included is 20,295. What is the age of Mrs. Moss?

41 years old

400

Suppose that Anthia cut out 5/14 of a cake for herself, Harris took 2/3 of the remaining portion, and Leo was given the rest. Express the portion of cake Leo received as a rational number in simplest form. Who had the biggest portion?

Leo received 3/14 of the cake, and Harris received the largest portion.

500

A costal patrol boat moved out from a naval base at 8 pm. It was patrolled eastwards for 21 km, westwards for 15 km and then eastwards 6 km before turning off its engine. Suppose that throughout the patrol, the boat moved at 30 km/hr. How far away and in what direction was the boat from the naval base when it stopped? At what time did the boat stop?

The boat was 12 km east of the naval base when it stopped. It stopped at 9:24 pm.