Question

multiply/divide/add/subtract integers$(-3)(-21) = LXB0-17 + 7 = LXB1a = LXB2a = LXB3a = \frac{(\quad)(\quad)}{2}LXB4a = $total surface area$(\quad \times 2)+(\quad \times 2)+(\quad)LXB5\quad \text{cm}^2$formulas$h = 3LXB6a = \quad \times \quadLXB785 \text{ mm} = \quad \text{cm}LXB885 \text{ mm} = \quad \text{cm}$statistics and probabilitygiven the set of data find the mean (average).5.5,3.5,2.5,7.5the mean of the data is $\quad$computations$12 \frac{1}{4}LXB9\overline{\quad}$distributive propertyuse the distributive property to simplify the expression. multiply the number on the outside by each of the terms on the inside.$4(8x + 3)$equationssolve the equation for the variable.$10b = 40$histogramstem and leaf plotdot plotbox and whisker plotsurface areaa graph similar to a bar chart in structure that organizes a group of data. $\quad$the sum of the areas of the faces of a three dimensional figure. $\quad$a graphic display used to compare frequency counts within categories or groups. $\quad$a type of graph that displays the quartiles and range of a data set. $\quad$a method of organizing numerical data in order of place value. $\quad$

Explanation:

Top Integer Operations Section

Step1: Multiply two negative integers

$(-3)(-21)=63$

Step2: Add two negative integers

$-35 + (-5)=-35-5=-40$

Step3: Add negative and positive integers

$-17 + 7=-(17-7)=-10$

Step4: Subtract positive from negative integer

$-24 - 6=-(24+6)=-30$

Step1: Identify values from bar graph

Jar 4: Blue candies = 50, Red candies = 30

Step2: Calculate the difference

$50-30=20$

Step1: Calculate rectangle areas (Set 1)

$A=lw$
$A=12\times6=72$

Step2: Calculate rectangle areas (Set 2)

$A=lw$
$A=10\times6=60$

Step3: Calculate triangle areas

$A=\frac{bh}{2}$
$A=\frac{12\times8}{2}=\frac{96}{2}=48$

Step4: Sum all surface areas

$\text{Total Surface Area}=(72\times2)+(60\times2)+(48\times2)$
$=144+120+96=360$

Answer:

$(-3)(-21)=63$
$-35 + (-5)=-40$
$-17 + 7=-10$
$-24 - 6=-30$

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Graphical Representations of Data (Candies in Jars)