Area / Volume
Evaluations
Solutions
Simplify
Ratios or Rates
100

How do we find the area of:

a. A rectangle

b. A triangle

a.  Length x width

b.  Base x height / 2

100

Evaluate:  a - b    if a = -2 and b = -5

a - b = 3

100

Solve:  4/9 x p = 72     (No calculator!)

p = 162

100

Multiply:   (2 x 10-14)(9 x 106)

Write out your answer in proper scientific notation.

1.8 x 10-7

100

The ratio of tulips to roses in the garden was 12 to 3.  If there were 36 roses, how many tulips were there?

144 tulips

200

What is the volume of a cube that measures 3 inches on each side?

V = L x w x h = 3 x 3 x 3 = 27 inches3

200

Compare:  x ___ y  

 if x and y are negative and x/y = 2

(Give two specific examples to support your claim.)

x is less than y

200

Write out an equation, then solve:  (No calculator!)

Twenty-four is what percent of 30?

80%

200

b - 1 2/3 = 4 1/2

(No calculator!  Fraction or mixed number answer.)

37 / 6    or  6 1/6

200

The team's ratio of games won to games played was 3 to 5.  If the team played 25 games, how many games did the team fail to win?

10 games that the team failed to win

300

What is the surface area of a cube that measures 2.5 feet on a side?

Area = 2.5 x 2.5 x 6 = 37.5 feet2

300

Evaluate:  (ab + a) / (a + b)

if a = 10 and b = -5

-8

300

The 62-ounce container is priced at $4.34.  The 120-ounce container is priced at $10.80.  Which container is the better buy?

The 62-ounce container is the better buy.

300

2+ 2+ 2+ 20 + 2-1 + 2-2 

(No calculator!  Fraction or mixed number answer.)

15 3/4     or  63/4

300

If sound travels 3.25 miles in 20 seconds, how far does sound travel in 3 minutes?

29.25 miles

400

What is the surface area of a box of tissue that has measures of 10 inches long by 3 inches wide by 1.5 inches tall?

Area = 2(10 x 3) + 2(3 x 1.5) + 2(1.5 x 10)

 = 99 inches2

400

12.3 = 4.56 + f

What is the value of f?

f = 7.74

400

The shoes were one sale for 22% off.  

a. If the regular price was $97.50, what was the sale price?

b.  If the tax rate in our area is 4.5%, what was the total price for the shoes?

a. $76.05

b. $79.47
400

No calculator:

Simplify:  

Six tenths times three and one-third divided by 2

1

400

When our neighbor sold their house, the paid the realtor a fee of 5.5% of the price.  If the house sold for $195,000, how much was the realtor's fee?

$10,725

500

Convert 1.2 m2 to cm2

12,000 cm2

500

What is the value of the following?  (No calculator!)

3.2 x 4-2 x 102

20

500

Seventy percent of the citizens voted for Rachel for Vice-President.  If 240 citizens did not vote for Rachel, how many citizens voted?

800 citizens

500

Simplify:

a.  -5 + -4 - (-6)

b.  30 - (-50) - 45

a.  3

b.  35

500

Mallory was delighted when she discovered that she had answered 95% of the questions correctly.  If she got 4 questions wrong, how many questions were on the test?

80 questions

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