Question

name.
weekly math review - q3.1
wednesday
solve
29.3 × 0.98
77.824 ÷ 6.4
a dog rolls over 25 times in 2 minutes. how many times can the dog roll over in 6 minutes?
solve for r
56 = 7r
find the surface area of the cube.
(12 cm cube diagram)
find the mean absolute deviation of the set of data
5, 10, 12, 15, 20
rewrite this non - statistical question as a statistical question.
how many brothers do you have?
compare the numbers with >, <, =

• 3.5 ____ 2.8 7.4 ____ - 9

martha places a triangle at (5,2) on a coordinate plane. if she wants to place a square 7 points away, what might be the coordinates of the square?
plot the following points and find the area of the figure.
(2,4), (-2,4), (-2,-4), (2,-4)
(grid diagram)
thursday
find the quotient.
12 ÷ (5/6) =
there are 54 people at the party. 18 of them are wearing red. what percent of people are not wearing red?
list 3 values that would make this inequality true
9 - n ≥ 4
____, __, ____
a trunk measures 48 inches long, 22 ½ feet wide, and 32 inches high. what is the volume of the box?
on maggie’s report card, she earned a 92 in reading, 95 in math, 88 in science, and 83 in social studies. what is maggie’s average score?
find the mean absolute deviation of the set of data.
2, 4, 4, 6, 8
compare the numbers with >, <, =

• 3/4 ____ - 0.75 4.5 ____ - 5.4

there is a point on a coordinate plane at (5,0). there is another point at (-3,0). what is the distance between these two points?
plot the following points to create a rectangle. find the missing vertex
(5,2), (-5,2), (-5,-2),?
(grid diagram)

Explanation:

Wednesday Section

Step1: Multiply decimals

$29.3 \times 0.98 = 28.714$

Step2: Divide decimals

$77.824 \div 8.4 = 9.2647\approx9.26$

Step3: Find roll rate, scale to 6 min

Rate: $\frac{25}{2}=12.5$ times/min; Total: $12.5 \times 6 = 75$

Step4: Isolate $r$ via division

$r = \frac{56}{7}=8$

Step5: Calculate cube surface area

Area of 1 face: $12^2=144$ cm²; Total: $6 \times 144=864$ cm²

Step6: Find mean absolute deviation

1. Mean: $\frac{5+10+12+15+20}{5}=12.4$
2. Deviations: $|5-12.4|=7.4$, $|10-12.4|=2.4$, $|12-12.4|=0.4$, $|15-12.4|=2.6$, $|20-12.4|=7.6$
3. Mean deviation: $\frac{7.4+2.4+0.4+2.6+7.6}{5}=4.08$

Step7: Rewrite to statistical question

Example: "How many brothers do students in our class have?"

Step8: Compare rational numbers

$-3.5 < 2.8$; $7.4 > -9$

Step9: Find possible square coordinates

Example points: $(5+7,2)=(12,2)$, $(5-7,2)=(-2,2)$, $(5,2+7)=(5,9)$

Step10: Plot points, calculate area

Shape is rectangle: length $4$, width $8$; Area: $4 \times 8=32$

Thursday Section

Step11: Divide by fraction (multiply by reciprocal)

$12 \div \frac{5}{6}=12 \times \frac{6}{5}=\frac{72}{5}=14.4$

Step12: Calculate non-red percentage

Non-red people: $54-18=36$; Percent: $\frac{36}{54} \times 100\%\approx66.67\%$

Step13: Solve inequality for valid $n$

$9-n \geq 4 \implies n \leq 5$; Example values: $5, 4, 3$

Step14: Calculate trunk volume (convert units)

Width: $2\frac{1}{2}$ ft $=30$ inches; Volume: $48 \times 30 \times 32=46080$ in³

Step15: Calculate Maggie's average score

Total: $92+95+88+83=358$; Average: $\frac{358}{4}=89.5$

Step16: Find mean absolute deviation

1. Mean: $\frac{2+4+4+6+8}{5}=4.8$
2. Deviations: $|2-4.8|=2.8$, $|4-4.8|=0.8$, $|4-4.8|=0.8$, $|6-4.8|=1.2$, $|8-4.8|=3.2$
3. Mean deviation: $\frac{2.8+0.8+0.8+1.2+3.2}{5}=1.76$

Step17: Compare rational numbers

$-\frac{3}{4} = -0.75$; $4.5 > -5.4$

Step18: Calculate distance between points

Distance: $|5 - (-3)|=8$ units

Step19: Find missing rectangle vertex

Missing vertex: $(5,-2)$

Answer:

Wednesday

1. $28.714$
2. $9.26$
3. $75$ times
4. $r=8$
5. $864$ cm²
6. $4.08$
7. Example: "How many brothers do students in our class have?"
8. $-3.5 < 2.8$; $7.4 > -9$
9. Example: $(12,2), (-2,2), (5,9)$
10. $32$

Thursday

1. $14.4$
2. $66.67\%$
3. Example: $5, 4, 3$
4. $46080$ cubic inches
5. $89.5$
6. $1.76$
7. $-\frac{3}{4} = -0.75$; $4.5 > -5.4$
8. $8$ units
9. $(5,-2)$