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100
Pythagorean theorem - 42 + 82 = 16 +64 = 80 then square root for an answer of 8.9
100
What are the PRIME FACTORS of 72
72 is 8x9 so the prime factors are
2x2x2x3x3 or 23x32
100
-7 + 20x = 73
20x = 73 +7
20x = 80
so x = 4
100
What is the PERIMETER of a triangle if the hypotenuse is 9 cm and one of the legs is 6 cm?
92- 62 =
81 - 36 = 45
square root of 45 is approx 6.7
so Perimeter is 9 + 6 + 6.7 = 21.7 cm
100
Solve the equation
-5(3n+5)=20
-15n - 25 = 20
-15n = 20+25
-15n = 45
n=45/-15
n=-3
200
Mr. Sprout built a fence around his garden so it formed a SQUARE with 10 fence posts on each side.
How many fence posts does he need?
36 posts because the corner posts are the same on both sides, so the top has 10, bottom has 10 and each each has only 8 each since the top and bottom posts were counted already.
200
Solve the equation 6(x-1)=12
6x-6=12
6x=12+6
6x=18
6x/6 = 18/6
so x=3
200
add and subtract the integers:
(-22) - (-30) + (-45) - (-51) =
-22+30-45+51 = 8+6=14
200
-2567 - (-5839) =
-2567+5839 =
5839 - 2567 = 3272
200
Jack had $20.00. Jack paid $2.25 to ride the bus to his haricut. He then paid $13.50 for a haircut and gave her a TOONIE for a tip. Does Jack have enough money to pay for his bus fare home? Show your work.
20.00 -2.25 - 13.50 - 2.00 = $2.25 left
So yes Jack will be able to get back home.
300
Find the perimeter if a rectangle with dimension 23.3 ft by 8.9 ft
23.3 +23.3 +8.9 +8.9 = 64.4 ft
300
Write the repeating decimals as Fractions
bar.8 and .3bar7
frac(8)(9) and frac(34)(90)
300
Sara scored 24 out of 30 on her math test. What percent did she get on the test?
frac {24}{30} -:6=frac{4}{5}xx20=frac{80}{100}=80%
300
Write as a unit rate: $46 for 5 toys
$9.20 per toy
300
2 1/4 - 1/2 xx (3/4 - 1/8)
9/4 - 1/2 xx (6/8 -1/8)
9/4 - 1/2 xx 5/8
9/4 -5/16
36/16-5/16 = 31/16 or 1 15/16
400
A petting zoo has 5 lambs, 11 rabbits, 4 goats, and 4 piglets. Find the ratio of goats to the total number of animals in lowest terms.
4:24 reduces to 1:6, 1/6 or 1 to 6
400
In a diving competition, Ziggy had 134.4 points after 4 dives. She scored 35.7 points on her first dive. The next three dives, she scored the SAME points for each dive. What was the score that she recieved on each of her last three dives?
134.4 - 35.7 = 97.7 divided by 3 = 32.9 points
400
Substitution Question
what is ab - cd
where a=-3, b=4, c=-5, d=6
(-3)(4) - (-5)(6) = -12+30 = +18
400
17.22 divided by 7
2.46
400
$24.70 at 10% off with 5% tax
24.70 - 2.47 = 22.23 +1.11 =$23.34
500
If you can purchase 8 eggs for 25 cents,
how many can you buy for a $5.50?
$5.50 is 4 quarters x $5 = 20
2 quarters in 50 cents so 20+2 =22 quarters
22 quarters x 8 = 176 eggs
500
Find the Area of the Trapezoid:
(a+b) x h /2
(6+20) x 10/2
26 x10/2
260/2
130 cm2
500
What is
-35.75 + 212 - (-13.2) =
212 - 35.75 = 176.25
176.25 +13.2 = 189.45
500
lowest terms for a ratio: 4 to 0.5
x by 10
40:5
8:1
500
Write all the ratios that are smaller than 20 : 25 that are equivalent
reduces to 4:5, so 8:10,12:15, 16:20 also work