Number System
At 6 am the temperature of -8F. By noon it rose 15 degrees, and by midnight it dropped 22 degrees from the noon reading. What was the temperature at midnight?
-15 degrees
I can walk 5 miles in 2.5 hours.
My sister walks 6 miles in 2.8 hours.
Compare our rates (use < , >, =)
2 mph < 2.14 mph
You walk at a faster rate than your sister.
simplify;
3x2 + 5x - x2 + 2x
2x2 + 7x
A map uses a scale 1 cm = 20km.
Two cities are 3.5cm apart on the map. What is their actual distance apart?
70km
A school principal uses students in the honors class for a survey on how well the school is performing on state tests. Is this a good sample? Why or why not?
no
The overnight low temperature on Monday was -6.5F. By Tuesday morning, it had dropped another 3.75 degrees. Then by noon on Tuesday, it rose 12.25 degrees. What was the temperature at noon on Tuesday?
2 degrees
y = 7x
The perimeter of a triangle has side lengths 5b + 2, 3 - b, and 4b + 6.
Write a simplified expression then solve if b = 5
8b + 11
P=51
A drawing at a scale of 1cm : 4m shows a rectangle 3cm x 6cm. Redrawn at 1cm : 2m , what are the new dimensions?
6cm x 12cm
Team Y generally scored higher
A stock prices drops $1.50 every day for 5 days. Write and solve an expression for this situation.
-1.50 x 5
-$7.50
One internet provider, A, charges $25.50 for 2 months of service.
Another, B, charges $33.75 for 3 months of service.
Which is a better deal? How much will it cost for the year?
B is a better deal.
It will cost $135 for the whole year,
Expand and simplify;
2(x + 3) + 4(x-1)
6x + 2
two complementary angles are x and 52. What is x?
38
A bag contains 4 green, 3 yellow, and 5 purple marbles. What is the probability that a yellow will be selected?
3/12
1/4
25%
Evaluate without a calculator
(−1/2 )× (−2/3 )÷ (−1/4 ).
-4/3
or
-1 1/3
A store sold 78 jackets on Saturday. This was 65% of the total in stock before Saturday. Sunday, the store sold 40% of the remaining jackets.
16.8 (but can't sell 0.8 of a jacket, so 16 full jackets)
A shirt costs d dollars. During a sale, the price is reduced by 15%. Write the sale price two ways and explain what each form means.
d - 0.15d (the original - 15% of the original)
0.85d (combined like terms; 1-0.15)
Two adjacent angles formed where two walls of a room meet are supplementary angles. If one angle is (5x + 10) and the other is (3x + 2), find both angles.
115 and 65
A sandwich shop offers 3 breads (white, wheat, rye) and 4 meats (turkey, ham, roast beef, salami).
How many different single-meat sandwiches are possible?
3 x 4 = 12
Convert 5/6 to a decimal without using a calculator.
0.8333333...
A sales person earns a base salary of $400 plus 4% commission on all sales.
She sells $8,500 worth of merchandise this week.
She puts all her earnings into a savings that pays 5% interest. How much interest will she make on this deposit?
$37
Maria earns $12 per hour babysitting. After spending $15 on supplies, she has $57. How many hours did she work?
6 hours
A running track is made of a rectangle and two identical semi-circles on either end. The track is 100m long and 40m wide. Find the total area.
Acircle = Pi r2
5256 square meters
A student wants to estimate the probability of getting all heads when flipping 3 fair coins. She uses random digits 0-9; odd = heads, even = tails.
her 15 trials are give on the paper provided.
a) find the experimental probability
b) find theoretical probability.
b) 1/6