Unit 1
If you could buy 45 bottles of water for $49.50, what would the unit rate (price per one) be?
$1.10 per bottle of water
Are these proportional?
2/5 to 10/25
Yes, because...
multiply top and bottom by "5"
25 times 2 = 50 and 5 times 10 = 50
(-6) + 9
3
Solve:
(-8)(-8)
64
Solve for "x"
2x - 3 = 67
x = 35
Find the unit rate:
49,000 fish per 14 ponds
3,500 fish per pond
Are these proportional?
7/9 to 15/18
No, because...
9 times 2 is 18, but 7 times 2 isn't 15
9 times 15 = 135 and 18 times 7 = 126
Solve:
-12 - 5
-17
Solve:
-65/5
-13
Solve for "x"
x/12 + 5 = 16
x = 132
Jeff had four dimes for every two pennies in his piggy bank. If Connor had 36 dimes, how many pennies would he have?
18 pennies
Solve for "x"
1/3 = x/18
x = 6
Lila has 20 bouquets of roses. There were 340 roses in total. What math expression would represent how many roses were in each bouquet?
(20)/(340)
(340)/(20)
(-340)/(20)
(340)/(-20)
2. (340)/(20)
George went down 12 flights of stairs. Each flight had 5 stairs. What math expression best represents this situation?
(-12)(-5)
(12)(-5)
12(5)
(-12)(5)
4. (-12)(5)
Solve for "x"
8x + (-12x) - 7 + 2 = 35
x = -10
Of the following ratios, which have the same unit rate as $47.25 for 7 calculators (select all the apply).
$20.25 for 3 calculators
$33.75 for 5 calculators
$6 for 1 calculator
$390 for 60 calculators
Unit Rate: $6.75 per calculator
#1 ($20.25 per 3) and #2 ($33.75 per 5)
Solve for "x"
x/24 = 33/22
x = 36
Jill started at 96 feet above sea level. She entered a cave that dropped 112 feet in elevation. What is her current elevation?
-16 feet or 16 feet below sea level
Mr.Richards was in a submarine that started at 145 feet below sea level. He then dropped another 37 feet. What is his current elevation?
-182 feet
Solve for "x"
2(x - 6) = 44
x = 28
On your benchmark assessment, for every 4 questions you got correct, you got 2 incorrect. How many answers were correct if there were 48 problems on the test?
32 correct answers
Solve for "x"
16 oranges for $7.20; X oranges for $21.15
Solve:
(-6)(14)(-2)
168
Solve:
-67 + 45 - (-32)
10
Solve for "x"
-9x + 17 - 13 + 8x = -4
x = 8