Equations/Inequalities
Solve for x:
2x + 3 = 11
x = 4
Evaluate: (-12. 45) + (-3.1)
-15.55
In your closet you have 3 shirts, 4 pairs of pants and 2 pairs of shoes to choose from. How many total outfits can you choose from?
3 x 4 x 2 = 24 outfits
Find the circumference of a circle with a diameter of 10m. (Round to the nearest tenth)
C = 31.4m
Solve for x:
x/ 4 = 45/36
36x = 180
x = 5-3x > -12
x < 4
Evaluate: 34.6 + (-2.51)
32.09
A jar contains 2 blue, 5 white and 3 green marbles. A marble is selected and replaced then another is selected.
Find P(white, green)
5/10 x 3/10 = 3/20
If the circumference of a circle is 37.7m, find the length of the radius.
d = 12m
r = 6m
Do the following pairs of ratios for a proportion? Explain.
3/5 , 12/20
Yes, cross products both equal 60
8 - 1/3x < 20
x > -36
Evaluate: -4 5/6 + (2 2/3)
-2 1/6
A jar contains 2 blue, 5 white and 3 green marbles. A marble is selected and NOT replaced then another is selected.
Find P(white, green)
5/10 x 3/9 = 3/18 = 1/6
Evaluate: 4 + (-2) - 12 + (-3)
-13
Jeff invested $5,000 in stocks for 2 years at a 3% interest rate. How much money will he have earned at the end of the 2 years?
5000(0.03)(2) = 300
5000 + 300 = $5,300
1/4(x - 8) = 12
x = 56
-1/6 / (-2 1/3)
1/14
If you roll a die 58 times, how many times would you expect to land on an even number?
3/6 x 58 = 29 times
Evaluate: (-24/-3) - (-5)
8 + 5 = 13
Find the final price (including tax) of a bathing suit that costs $49, on sale for 30% off and 8.75% sales tax.
Discount: $14.70
Sale Price: $34.30
Tax: $3.00
Final Price: $37.30
2/5x + 3/10x = 49
7/10x = 49
x = 70
(2 1/14) - (-5/7)
2 11/14
Find the M.A.D for the following set of data: (round to the nearest tenth)
88, 78, 75, 71, 66, 72
Mean = 450/6 = 75
MAD = 32/6 = 5.3
Evaluate: (-12/3) + (-6) - (-20/5)
-4 + (-6) - (-4) = -10 + 4 = -6
Jack needs to purchase a couch for his living room. He measured the wall space to be 5 feet, but the couch is 5.5 ft long. What is the percent of error?
e = % a
0.5 = x (5.5)
x = 0.09
9% error