solve the following problem: (2, 21)
a) 6 + 8 x (12 - 9)
b) (14 - 5) / (7 - 4)
c) 7 x 4 + 8 / 4 - 3 x 6
d) 50 - 2 x 7/6 + 4 x 3
a) answer: 30
6... [Show More] + 8 x (12 - 9) = 6 + 8 x 3 = 30
b) answer: 3
(14 - 5)/(7 -4) = (9) / (3) = 3
c) answer: 12
7 x 4 + 8 / 4 - 3 x 6 = 12
d) answer: 2
6 + 8 x (12 - 9) = 6 + 8 x 3 = 30
which of the following is correct value of 3 + 2 x 6 - 4? (2, 21)
a) 32
b) 10
c) 11
d) 26
answer: c) 11
3 + 2 x 6 - 4 =
3 + (2 x 6) - 4 =
3 + 12 =
15 - 4 = 11
00:32
01:42
which of the following is the correct value of the following expression? (2, 21)
15 + 2 x 5/11 - 24 / 4
a) 21
b) 5
c) ~9.9
d) ~5.9
answer: b) 5
15 + 2 x 5/11 - 24/4 =
25/5 =
5
which of the following is the correct value of the following expression? (2, 21)
50 - (8 x 3) + 9 + 6/3
a) 31
b) 35
c) 131
d) 135
answer: a) 31
50 - (8 x 3) + 9 + 6/3 =
50 - 24 + 9 + 6/3 =
50 - 24 + 5 =
31
which of the following is the correct value of the following expression? (2, 21)
17 + 18 - 2 x 3/6
a) 14
b) 19
c) 25
d) 34
answer: b) 19
17 + 18 - 2 x 3/6 =
17 + 12/6 =
17 + 2 =
19
write in increasing order: (2, 22)
-8, 8 3/4, 8.43
-8, 8.43, 8 3/4
which of the following is a correct comparison of 9.14 and 9 1/6? (2, 22)
a) 9.14 > 9 1/6
b) 9.14 < 9 1/6
c) 9.14 = 9 1/6
d) 9.14 ≥ 9 1/6
answer: b) 9.14 < 9 1/6
which of the following lists the numbers in decreasing order: (2, 22)
-4, 0.4, 4 1/5, -0.04
a) -4, 0.4, 4 1/5, 0.04
b) -0.04, -4, 0.4, 4 1/5
c) 4 1/5, 0.4, -4, -0.04
d) 4 1/5, 0.4, -0.04, -4
answer: d) 4 1/5, 0.4, -0.04, -4
which of the following lists the numbers in increasing order: (2, 22)
3/8, 3/4, 11/16, 1/2?
a) 1/2, 3/8, 3/4, 11/16
b) 11/16, 3/8, 3/4, 1/2
c) 3/8, 1/2, 11/16, 3/4
d) 3/4, 3/8, 1/2, 11/16
answer: c) 3/8, 1/2, 11/16 3/4
which of the following lists the numbers in decreasing order:
-1 3/5, -1.45, -1.8, -1 3/4? (2, 22)
a) -1.45, -1 3/5, -1 3/4, -1.8
b) -1.8, -1 3/4, -1 3/5, -1.45
c) -1 3/4, -1.45, -1 3/5, -1.8
d) -1 3/5, -1.45, -1.8, -1 3/4
answer: a) -1.45, -1 3/5, -1 3/4, -1.8
jayden wants to use square pavers that are 4 inches on each side to completely surround his flower garden. the garden is 8 feet long and 2 feet wide. how many pavers should jayden buy? (2, 24)
step 1: understand the problem
the square pavers are 4 inches on each side. the garden is 8 feet long and 2 feet wide
step 2: make a drawing of the garden
1 foot = 12 inches. takes three 4-inch pavers to equal a length of 1 foot
add 6 pavers to both of the 2-foot sides
step 3: add 24 to both of the 8 foot
step 4: add up the pavers needed
length:
8 feet
2 feet
8 feet
2 feet
4 corners
number of pavers needed:
24
6
24
6
4
total: 64
a cat owner gets a vitamin prescription from his veterinarian that lists the dosage as 2.5 mL twice a day. the bottle contains 200 cc. how many days will the bottle last? (2, 24)
step 1: dosage is 2.5 mL twice a day.
step 2: 1 cc is equivalent to 1 mL
divide the bottle
step 3: 200 cc/5 cc / day
step 4: 40 days is a reasonable time period for a prescription. each day requires 5 cc, and 200 is much more than 5, so you would expect an answer greater than 1. two days requires 10 cc, 3 days 15 cc, and so on. so 40 days requires 200 cc of the vitamin overall
00:11
01:42
on monday, the nurse determined that her patient's total fluid intake for the day was 1,800 mL. on tuesday, the same patient's total fluid intake was 2,350 mL. if the patient's total fluid outtake over the two days was 1,775 mL, what was his net results? (2, 24)
step 1: fluid intake monday: 1,800 mL
tuesday: 2,350 mL
total fluid: 1,775 mL
step 2: add to determine total fluid intake
1,800 + 2,350 = 4,150 mL
step 3: subtract
4,150 mL - 1,775 mL = 2,375 mL
step 4: 2,375 + 1,775 = 4,150 so 2,375 mL is the most reasonable solution
a recipe for 1 batch of cookies called 3/4 cup of flour. how much flour is required to bake 1 1/2 batches of cookies? (2, 24)
step 1: 1 batch of cookies requires 3/4 cups of flour
step 2: use multiplication to determine the flour needed for 1 1/3 batches
step 3: multiply a fraction and a mixed number
1 1/2 x 3/4 =
3/2 x 3/4 =
9/8 =
1 1/9 cups
in a small community, 1, 225 students take the bus to school. if there are a total of 1,955 students enrolled in the school system, approximately what percentage of students take the bus to school? (2, 24)
step 1: identify the part and whole
1,225 (part), 1,955 (whole)
step 2: divide the part by whole to determine the decimal equivalent then multiply the decimal by 100% to change to a percent
1.225/1.955 ~ 0.6266
0.6266 x 100% =
62.66%
your current salary is $55,000. next year you will get a 4.5% increase in your salary. how much more money will you make next year? (2, 25)
step 1: convert 4.5% to decimal form
step 2: multiply 0.045 x $55,000 =
$2,475
which of the following is 35% of 900 pounds? (2, 25)
a) 315 pounds
b) 595 pounds
c) 865 pounds
d) 1,205 pounds
answer: a) 315 pounds
step 1: convert 35% to a decimal
step 2: multiply 0.35 x 900 =
315
while shopping, you find a shirt that is marked 25% off. if the regular price is $50, which of the following is reduced price? (2, 25)
a) $12.50
b) $25.00
c) 37.50
d) 62.50
answer: c) 37.50
step 1: convert 25% x 50 = 12.50
step 2: 50 - 12.50 = 37.50
a computer tablet costs $550.00. if the sales tax is 6.5%, what is the total cost of the tablet with sales tax? (2, 25)
a) $35.75
b) $514.25
c) 556.50
d) 585.75
answer: d) 585.75
step 1: 65% convert to decimal
0.065 x 550 =
35.75
step 2: 550 + 35.75 =
585.75
a car salesperson earns $900 each month plus 6% commission on her monthly car sales. if she sells %58,000 worth of cars on a given month, what is her total monthly salary? (2, 25)
a) $4,380.00
b)$3,534.00
c)$3,480.00
d)$4,426.00
answer: a) $4,380.00
step 1: find 6% of $58,000 by multiplying 0.06 x $58,000 =
$3,480.00
step 2: add $3,480 + $900.00 =
$4,380.00
which of the following gives the best estimate for 346.8 x 5.231/49.6? (2, 26)
a) 347 x 5/50
b) 350 x 5/49?
c) 300 x 5/50
d)346 x 6/49?
answer: a) 347 x 5/50
round the numbers in the table to the place indicated (2, 26):
a) 34. 19 --> tenths
34.2
round the numbers in the table to the place indicated (2, 26):
b) 6/7 --> ones
1
round the numbers in the table to the place indicated (2, 26):
c) 7.219 --> hundredths
7.22
round the numbers in the table to the place indicated (2, 26):
d) 933.74 --> thousands
1,000
round the numbers in the table to the place indicated (2, 26):
e) 2.739 --> hundredths
2.74
round the numbers in the table to the place indicated (2, 26):
f) 32.834 --> tenths
32.8
round the numbers in the table to the place indicated (2, 26):
g) 37.494 --> tens
40
round the numbers in the table to the place indicated (2, 26):
h) 23/50 --> ones
0
round the numbers in the table to the place indicated (2, 26):
i) 7 4/3 --> ones
8
round the numbers in the table to the place indicated (2, 26):
j) 64.736 --> tenths
64.7
round the numbers in the table to the place indicated (2, 26):
k) 547 --> tens
550
round the numbers in the table to the place indicated (2, 26):
l) 878 --> hundreds
900
round the numbers in the table to the place indicated (2, 26):
m) 87.357 --> hundredths
87.36
round the numbers in the table to the place indicated (2, 26):
n) 32. 95 --> tenths
33
round the numbers in the table to the place indicated (2, 26):
o) 483.34 --> hundreds
500
which metric unit best represents the length of a paper clip? (2, 26)
a) meter
b) millimeter
c) liter
d) milliliter
answer: b) millimeter [Show Less]
