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Math Benchmark Corrections
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Reporting Category 2 - Algebra
You can estimate: $20 for 2 pounds and $10 for 1 pound. 8.50 . 2.6 22.10 26 221.0 -208 First move the decimal: Over, Over, Up 13 0 -13 0
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Reporting Category 3 - Geometry
๐ฎ๐๐๐๐ ๐๐๐๐๐๐ = ๐๐๐๐๐๐ ๐น๐๐
๐ฎ๐๐๐๐ ๐ฎ๐๐๐๐ = ๐น๐๐
๐๐๐๐๐๐ ๐ฎ๐๐๐๐ ๐ฉ๐๐๐ = ๐๐๐๐๐๐ ๐น๐๐
๐ฎ๐๐๐๐ ๐ฎ๐๐๐๐ = ๐ฉ๐๐๐ ๐ฉ๐๐๐
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Reporting Category 1 - Probability
Number Cube = Coin will land: Heads or Tails 5 6 H5 H6 T5 T6 H T
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Reporting Category 2 - Algebra
5x + 6 = 1 5x = -5 x = -1
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Reporting Category 4 โ Data Analysis
Find Total: 15 12 10 +18 55 18 15 12 10 = 25 and 25/55 = 45% = 22 and 22/55 = 40%
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Reporting Category 3 - Geometry
48 x 4 192 Square A = bh A = (12)(12) A = 144 ft2 48 48 144 48 Triangle A = ยฝ bh A = ยฝ (12)(8) A = 6(8) = 48 ft2 48 144 +192 336
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Reporting Category 4 โ Personal Finance
I = prt I = $45,580(0.04)(1) I = $1,823.20
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Reporting Category 2 - Algebra
32($1.40) + 32($0.59) $ $18.88 = $63.68 $80.00 She had $80 to spend. She spent $63.68 $16.32
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Reporting Category 3 - Geometry
Diameter is 22 meters C โ 66
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Reporting Category 1 - Probability
You must get a total so that you can write a fraction. Total = 10 cans P(Tomato, Cheese) 2 10 ๐ฅ 2 10 1 5 ๐ฅ =
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Reporting Category 2 - Algebra
Time Distance 1 hr km 2 hrs km 3 hrs km 4 hrs km
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Reporting Category 4 โ Personal Finance
$35 x 0.15 = $5.25 off $35 - $5 = $30 ๐ ๐ of 35 = $7 off $ $5.25 = $29.75 $ $7.00 = $28.00 $35 - $5 = $30
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Reporting Category 2 - Algebra
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Reporting Category 3 - Geometry
Triangle: A = 1 2 bh A = 1 2 (6)(4) = 3(4) V = Bh B = Base Area V = 12(16) 12 V = 192
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Reporting Category 2 - Algebra
4x = 288 / __ ___ / 6 24 1 4 x 288 Grams Fluid oz. x = 72
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Reporting Category 3 - Geometry
Shaded Area= Large rectangle minus small rectangle Large Rectangle: A=bh = 4.75(4) = 19.00 3 ๐ ๐ ๐๐ 19 โ 8 = 11 2 ๐ ๐ ๐๐ Small Rectangle: A=bh = 3.25(2.5) = 8.125 4 in 4 ๐ ๐ ๐๐.
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Reporting Category 4 โ Data Analysis
17 โ 5 = 12 15 โ 6 = 9 Yes, 9 < 12 No, Mr. Bonhamโs is more symmetrical. No, 11 < 10 No, Mr. Bonhamโs is greater.
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Reporting Category 3 - Geometry
100x = 604 ___ ___ Inch Feet 1 100 x 604 x = 6.04
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Reporting Category 3 - Geometry
z = 180 z z + 84 = 180 42ยฐ 42ยฐ
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Reporting Category 2 - Algebra
x + 3x = 144 1x + 3x = 144 4x = 144 x = 36
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Reporting Category 2 - Algebra
First subtract: = 7 Second Multiply: $ 14.60 x $102.20
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Reporting Category 1 - Probability
There are 2 boxes with 2 defective lightbulbs. 1 box will have 1 defective lightbulb. 2 boxes had 2 defective lightbulbs. 3 boxes will have 3 defective lightbulbs boxes will have 4 defective lightbulbs.
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Reporting Category 2 - Algebra
Replace x with -6 and solve. -5 โ 3(-6) > 10 -5 โ (-18) > 10 > 10 13 > 10
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Reporting Category 3 - Measurement
1 foot = 12 inches 5 feet = 60 inches 60 in + 4 in = 64 in. Chloe is 64 inches tall. 2.54 1 x 64 cm inches 2.54 cm = 1 inch. 2.54 x 64 162.56
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Reporting Category 2 - Algebra
1.75 x 8 14.00
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Reporting Category 1 - Probability
Total = 20 marbles P(Green or Black) = 7 20 7 20 x 100 x5
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Reporting Category 2 - Algebra
y = mx + b b is the number on the Y axis Slope means you rise 3 spaces and run 1 space from the first point. y = mx + 3 m is Slope ๐น๐๐๐ ๐น๐๐ = ๐ ๐
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Reporting Category 4 โ Personal Finance
Assets minus Liabilities = Net Worth $ 107,550 - 20,525 $ 87, 025
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Reporting Category 1 โ Numerical Representations
Integers are positive numbers and their opposites including zero. Rational Integer I -5 All Rational Numbers
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Reporting Category 2 - Algebra
2x = 27(0.5) 27 2 x .5 Miles hour 2x = 13.5 x = 6.75 Estimate: 28 miles in 2 hours 14 miles in 1 hour 7 miles in ยฝ hour
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Reporting Category 3 - Geometry
V = 1 3 Bh V = (12) V = 1 3 (1200) B = 100 B = Base Area V =400 B = 10 x 10
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Reporting Category 1 - Probability
4 9 0 7 10 x 700 x70
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Reporting Category 3 - Geometry
A = ๐r2 A = 3(15)(15) A = 45(15) Diameter=30 in Radius=15 in A = 675 ๐๐2
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Reporting Category 2 - Algebra
Month Paid $32 $64 $96 $128
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Reporting Category 3 - Geometry
A = 1 2 bh A = 1 2 ๐r2 A = bh A = (4) A = r=2 A = 6(4) A = 24 cm2 4 cm A = A = 2(4) A=6 cm2 A=8 cm2 A = = 38 cm2
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Reporting Category 4 โ Data Analysis
12% - 10% = 2% 2% of 24 hrs .02 x 24 24 x .02 0.48
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Reporting Category 2 - Algebra
๐ ๐ ๐ ๐๐=๐ 21 ๐ ๐ ๐ ๐๐=๐๐ 40 โ 21 = 19
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Reporting Category 4 โ Personal Finance
$ x $
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Reporting Category 3 - Geometry
V = Bh 1360=160h 8.5 = h
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Reporting Category 1 - Probability
P(not odd) P(even)
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Reporting Category 2 - Algebra
n=new u=used 55n + 12u = y 55(3) + 12u = y u = y
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Reporting Category 3 - Geometry
๐๐รท๐ ๐๐รท๐ = ๐ ๐ x / 2 5 2 5 16 x 12 30 16 x x8
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Reporting Category 4 โ Personal Finance
10% = = 1 10 10% = 0.10 20% = 0.20 20% = 2 10 25% = 0.25 25% = 1 4 50% = 0.50 50% = 1 2 $50+100=$150 10% of $800 = $80 $275 25% of $800 = $200 $200 20% of $800 = $160 50% of $800 = $400 $ =$400
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Reporting Category 2 - Algebra
2x + 2 = -52 2x = -54 x = -27
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Reporting Category 1 - Probability
18 > (4+11+8) 18 > 23 4=8=18 8 = 2(4) 11 x 7 = 77
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Reporting Category 3 - Geometry
diameter = 6 d = 6 radius = 3 A = ๐r2 A = 3(3)2 A = 3(9) A = 27
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Reporting Category 2 - Algebra
Remember: Input / Output Tables Remember: 0.5x means half Of the number.
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Reporting Category 2 - Algebra
๐ซ๐๐๐๐๐๐๐๐๐ ๐ถ๐๐๐๐๐๐๐ = ๐ ๐๐๐ Percent of Change: ๐๐ ๐๐๐ = ๐ ๐๐๐ ๐ ๐๐ = ๐ ๐๐๐ x4
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Reporting Category 3 - Measurement
5x = 82 / cm km 4 20 1 5 x 82 x = 16.4
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Reporting Category 2 - Algebra
h = hot dogs 3h + 2 < 14
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Reporting Category 4 โ Data Analysis
Range 8 โ 0 = 8 Range 6 โ 0 = 6 6 > 8 No 1=1
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Reporting Category 3 - Geometry
Triangle A = bh Find the area of the whole triangle instead of small sections. A = (2) / m A = 5.5 1 m b = b = 5.5
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Reporting Category 1 - Probability
Total = 18 books 3 18 รท๐ รท๐ = 1 6 P (adventure book) = Write a fraction and simplify.
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Reporting Category 2 - Algebra
x y Hours Miles
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