Course 3 -Test 18 Review

Conversions

100

33 1/3% to a fraction

1/3

200

6.75% to a decimal

0.0675

300

2/3 to a %

66 2/3%

400

How many pints are in 3 quarts?

6

(1 quart = 2 pints)

Equations

100

How would you get x by itself?

(2/3)x = 3/5      BONUS: solve for x.

Multiply both sides by 3/2.

x = 9/10

200

What is the first step? 

x + 0.2x = 6     BONUS: solve for x

Combine the x-terms:

1.2x = 6

Then divide by 1.2, so x = 5

300

2x - 4 = 4 - 2x

x = 2

400

What are pairs of points that you could graph for this equation?

x - y = 2

(2, 0)

(0, -2)

(4, 2), etc.

Terms/Symbols

100

What is meant by an upside-down U in set notation? 

"Intersection"

What two sets have in common.

200

A = {4, 5, 6} and B = {5, 6, 7}

Find AUB.

AUB = {4, 5, 6, 7}

"Union" means all elements of A and B.

300

What is a prime number?

BONUS: name the first 3 prime numbers.

A number with exactly two factors.

2, 3, 5,......

400

What is a composite number?

BONUS: name the first 3 composite numbers.

A number with MORE than 2 factors.

4, 6, 8,.....

Simplify

100

xxxx^-2y⁴y^-3x⁰

xy

200

4sqrt(2)*sqrt(10)

8sqrt(5)

300

a^-4b²b^-3a³ac^-1c⁶

b^-1c⁵

or c⁵/b

400

3sqrt(6)*8sqrt(21)

72sqrt(14)

Hodgepodge

100

What is the probability of rolling an even number 3 times in a row?

(1/2)*(1/2)*(1/2)

=(1/8)

200

How do you find the area of a parallelogram?

Area of a trapezoid?

Area of a parallelogram: b x h

Area of a trapezoid: (1/2)(b₁+b₂)h

300

Below is a rule for a sequence. What is the 6th term?

a_n = 5(n + 1 )

Plug in 6 for "n"

a₆ = 5(6 + 1)

a₆ = 5(7)

= 35

400

What is the probability of drawing a black card from a deck of cards, keeping it, and drawing another black card?

(26/52)*(25/52)

or (1/2)*(25/52)

=25/104