Question

th grade builder # 62
name:
$(-2)(-41) = $
$-22 \div (-2)=$
$-8 + 17 = $
$-55 - 6 = $
candies in jars
what is the total number of red candies in jars 1 and 4?
what jar has the greatest number of candies?
surface area
10cm, 7cm, 13, 13, h=12
$a = lw$
$a = lw$
$a = $
$a=

$$a = $ $a=$$

a = \frac{bh}{2}$
$a = \frac{(\quad)(\quad)}{2}$
$a = \frac{\quad}{2}$
$a=$
total surface area
( $\times 2$) + ( $\times 2$)+ ( )
$\quad + \quad + \quad$
$\quad$cm$^2$
$h =8$
$b = 11$
find the area of the parallelogram.
area = base x height
$a= b \times h$
$a = \quad \times \quad$
$a = \quad$square units.
conversions
convert the unit of measure using proportions. $1$ ft = $12$ in
$144$ in =? ft
$\frac{1\text{ ft}}{12\text{ in}} = $
$144$ in = $\quad$ft
statistics and probability
given the set of data find the mean (average).
22, 44, 11, 33
the mean of the data is $\quad$.
$12\frac{2}{5}$
$- 1\frac{3}{5}$
distributive property
use the distributive property to simplify the expression. multiply the number on the outside by each of the terms on the inside.
$4(3x + 2)$
equations
solve the equation for the variable.
$5b = 50$
vocabulary
histogram
stem and leaf plot
dot plot
box and whisker plot
surface area
a type of graph that displays the quartiles and range of a data set. $
the sum of the areas of the faces of a three dimensional figure. $
a graphic display used to compare frequency counts within categories or groups. $
a graph similar to a bar chart in structure that organizes a group of data. $
a method of organizing numerical data in order of place value. $

Explanation:

Step1: Multiply two negative numbers

$(-2)(-41) = 82$

Step2: Divide two negative numbers

$-22 \div (-2) = 11$

Step3: Add negative and positive numbers

$-8 + 17 = 9$

Step4: Subtract from a negative number

$-55 - 6 = -61$

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Step1: Read red candies from graph

Jar1 red: 10, Jar4 red: 25

Step2: Sum the red candies

$10 + 25 = 35$

Step3: Calculate total candies per jar

Jar1: $5+10=15$, Jar2: $10+5=15$, Jar3: $15+10=25$, Jar4: $20+25=45$

Step4: Identify jar with max candies

Jar4 has the highest total

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Step1: Calculate area of rectangles

Rect1: $A = 10 \times 7 = 70$
Rect2: $A = 13 \times 7 = 91$

Step2: Calculate area of triangles

$A = \frac{10 \times 12}{2} = 60$

Step3: Sum all surface areas

$(70 \times 2) + (91 \times 2) + (60 \times 2) = 140 + 182 + 120 = 442$

---

Step1: Plug values into area formula

$A = b \times h = 11 \times 8$

Step2: Compute the area

$A = 88$

---

Step1: Set up conversion proportion

$\frac{1\ \text{ft}}{12\ \text{in}} = \frac{x}{144\ \text{in}}$

Step2: Solve for x

$x = \frac{144}{12} = 12$

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Step1: Sum all data values

$22 + 44 + 11 + 33 = 110$

Step2: Divide by number of values

$\text{Mean} = \frac{110}{4} = 27.5$

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Step1: Subtract mixed fractions

$12\frac{2}{5} - 1\frac{3}{5} = 11\frac{7}{5} - 1\frac{3}{5}$

Step2: Compute the result

$10\frac{4}{5}$

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Step1: Apply distributive property

$4(3x + 2) = 4(3x) + 4(2)$

Step2: Simplify the expression

$12x + 8$

---

Step1: Isolate the variable b

$b = \frac{50}{5}$

Step2: Solve for b

$b = 10$

---

Step1: Match terms to definitions

1. A type of graph that displays the quartiles and range of a data set: Box and whisker plot
2. The sum of the areas of the faces of a three dimensional figure: Surface area
3. A graphic display used to compare frequency counts within categories or groups: Dot plot
4. A graph similar to a bar chart in structure that organizes a group of data: Histogram
5. A method of organizing numerical data in order of place value: Stem and leaf plot

Answer:

Multiply/Divide/Add:

$(-2)(-41) = 82$
$-22 \div (-2) = 11$
$-8 + 17 = 9$
$-55 - 6 = -61$

Candies in Jars:

Total red candies in Jars 1 and 4: 35
Jar with the greatest number of candies: Jar 4

Surface Area:

Rectangle 1: $A = 10 \times 7 = 70$
Rectangle 2: $A = 13 \times 7 = 91$
Triangle: $A = \frac{10 \times 12}{2} = 60$
Total Surface Area: $(70 \times 2) + (91 \times 2) + (60 \times 2) = 140 + 182 + 120 = 442\ \text{cm}^2$

Formulas (Parallelogram):

$A = 11 \times 8$
$A = 88$ square units

Conversions:

$\frac{1\ \text{ft}}{12\ \text{in}} = \frac{12}{144}$
$144\ \text{in} = 12\ \text{ft}$

Statistics and Probability:

The mean of the data is $27.5$

Computations:

$12\frac{2}{5} - 1\frac{3}{5} = 10\frac{4}{5}$

Distributive Property:

$4(3x + 2) = 12x + 8$

Equations:

$5b = 50 \implies b = 10$

Vocabulary:

1. A type of graph that displays the quartiles and range of a data set: Box and whisker plot
2. The sum of the areas of the faces of a three dimensional figure: Surface area
3. A graphic display used to compare frequency counts within categories or groups: Dot plot
4. A graph similar to a bar chart in structure that organizes a group of data: Histogram
5. A method of organizing numerical data in order of place value: Stem and leaf plot