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The diagram shows the dimensions of a house. The door and the peak of the roof are centered in the view. A contractor uses the
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Explain your favorite outdoor activity in 5 sentences
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5 sentences answering each question.
Explain a difficult situation that you had to bounce back from as a teen.
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One challenging situation I faced was when I lost my job unexpectedly during a company restructuring. Initially, I felt
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Compose
“ 5 sentences answering each question. Explain a difficult situation that you had to bounce back from.
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we know that p = 4 is part of the solution. Use the second equation to find the value of c.
3c+2.5p = 31 c = 11−p p = 4 c =
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solve this equation for the value of p.
3c+2.5p = 31 c = 11−p 3c+2.5p = 31 3(11−p)+2.5p = 31 p =
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3(11−p)+2.5p
= 31 p
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Since neither equation is written as “p = some value” or “c = some value” yet, we can rewrite either equation in terms
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One way to solve this system is to substitute the value of one variable into the other equation. To do this, we can use either
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An order of cashews and peanuts weighs 11 pounds and costs $31.
Cashews: $3.00 per pound Peanuts: $2.50 per pound How many pounds
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what do you need to set the expression equal to? Reread the problem to determine the total cost of the order.
Cost of cashews +
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An order of beans and red lentils weighs 10 pounds and costs $17.
Beans: $2.00 per pound Red lentils: $1.50 per pound How many
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y=−6
x=−8y−4 x= y=
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solve for the value of x.
y=−7 x=−9y−5 x = −9(−7) − 5 x =
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we know that s=12 is part of the solution. Use the second equation to find the value of f.
0.75f+0.5s=9 f=16−s s=12 f=16−s f=
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0.75(16−s)+0.5s
= 9 s =
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What equation could we write to represent that the number of pounds of flour and the number of pounds of sugar weighed a total
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4b+b
= 55 b =
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y= 2x+1
x= 12−2y x = y = ?
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y=−3
x=−3y+2 x= y=
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You just found that x = 3. You still need to find the value of y when x = 3. Let's use the first equation, y= 3x−5, since it's
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add 12x to both sides of the equation to get rid of the −12x on the right, and get all the x terms on the left side of the
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You found the value of x is 15 and you know the value of y is -10. Write this solution as a coordinate pair (x,y).
y=−10
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solve for the value of x.
y=−10 x=−2y−5 x = −2(−10) − 5 x =
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Find the solution to this system of equations. Solve on paper and enter your answer on Zearn.
y=15 x=17−2y ( , )
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The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline
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3
4 ( � + 8 ) = 9 4 3 (x+8)=9 In the equation shown, what is the value of � x that makes the equation true?
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A system of equations is shown.
{ � = 10 3 � + 5 � = 20 { x=10 3x+5y=20 What is the solution ( � , � )
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Now, solve for the value of x.
y=−4 x=−3y+5 x = −3(−4) + 5 x =
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Finally, solve for the value of y when x=−10. What is −10−7?
y=2x+3 y=x−7 x −10 = y = x − 7 y = −10 − 7 y =
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In the solution to this system of equations, you found that x=−10. Find the value of y.
You substituted −10 for x in the
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In the solution to this system of equations, you found that x=−10. Find the value of y.
You’re trying to find the value of y
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Subtract 3x from both sides of the equation and rewrite the remaining values.
y= 3x−5 y= −5+3x 3x − 5 = −5 + 3x − 3x
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Solve for the value of x.
Subtract 3x from both sides of the equation and rewrite the remaining values. 3x + 5 = 3x − 4 − 3x
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5=6x-7
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6x-7
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. List three benefits of being accountable for your actions.
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What is the height of this cylinder? Solve on paper and enter your answer on Zearn.
r = 5Area Label Arrow height = ? Volume =
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You found that the value of r
2 is 9. What is the value of r? r = ?Area Label Arrow height = 4 Volume = 36π Volume = Area of
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Now, divide both sides by 4π to get r
2 alone on the right side of the equation. r = ?Area Label Arrow height = 4 Volume = 36π
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Now, divide both sides of the equation by 9π to get rid of the 9π and get h alone on the right side of the equation.
r= 3Area
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Scientists are investigating rock formations at two different locations. The scientists find different fossils in the layers at
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Petroleum is a fossil fuel that was formed from the remains of ancient organisms. Millions of years ago, many organisms lived in
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The Processes of Plate Tectonics
The lithosphere is the outer layer of Earth that includes the crust and upper mantle. This layer
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Now find a decimal approximation for the volume of this cylinder. You can use 3.14 as an approximation for pi.
6 cm 4 cm Volume =
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36x4
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25x7
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16x3
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The area of the base is 12.56 inches
2 and the height is 6 inches. What is the volume of the cylinder? Area Label Arrow 6 in A =
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We can find the volume of a cylinder by multiplying the area of its base by its height. To find the volume of this cylinder,
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Keep going. What’s the volume of this rectangular prism?
8 in Area Label Arrow5 in 3 in 15 in 2 Volume = Area of base · Height
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9x8
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The volume of this cylinder is 75π ft
3 . Find the approximate volume of the cylinder using 3.14 as an approximation for pi. 5
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25x3
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12.57x5
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Keep going. Record the height of the cylinder. That way, we can multiply the area of the base by the height to find the volume.
A
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We can find the volume of a cylinder by multiplying the area of its base by its height. To find the volume of this cylinder,
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This scatter plot shows the number of career home runs and the number of years spent playing Major League Baseball for some
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This scatter plot shows the number of career home runs and the number of years spent playing Major League Baseball for some
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This scatter plot shows the number of career home runs and the number of years spent playing Major League Baseball for some
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This scatter plot shows the number of career home runs and the number of years spent playing Major League Baseball for some
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This scatter plot shows the average elevation and the average temperature for some countries. Each point on the scatter plot
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This scatter plot shows the average elevation and the average temperature for some countries. Each point on the scatter plot
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This scatter plot shows the average elevation and the average temperature for some countries. Each point on the scatter plot
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This scatter plot shows the number of runs and times at bat for some baseball players in 1986. Each point on the scatter plot
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HOW DID CASH AND CARRY WORK?
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NEUTRALITY ACTS 1. BEFORE WORLD WAR II ACTUALLY STARTED IN 1939, WHAT DID THE NEUTRALITY ACTS DO IN THE UNITED STATES
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How many cities had snowfall of at least 26 centimeters?
16 14 12 10 8 6 4 2 0 20 26 32 38 44 50 Snowfall (cm) cities had
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Below are the lengths and weights of 12 guinea pigs seen at a veterinarian’s office one week.
How much does the lightest guinea
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Common Garter Snake:
What part of the environment might make an individual more or less likely to survive? Which traits does the
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Let’s use the equation to help us make a prediction. Remember x represents the time in hours, and y represents Thomas’s
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To represent the relationship between time and Thomas’s elevation, a linear equation can be written in the form y=mx+b.
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This graph represents the linear relationship between the time in hours and Thomas's elevation in meters. For each hour, his
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Now, solve for b, or the vertical intercept. You can can substitute the x and y-values for a point on the line into the equation
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Let’s write an equation to represent this line in the form y=mx+b. Start by finding m, or the slope. What is the slope of this
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This graph represents the linear relationship between the time in minutes and the temperature of the oven in degrees Fahrenheit.
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You just wrote an equation to determine the height of the tree, y, after x years. What does this equation mean?
x y (4, 120)(7,
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Let’s finish writing our equation to represent the relationship between the number of years and the height of the tree. Now
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Now, solve for the value of b, or the vertical intercept.
x y (4, 120)(7, 150) 0 1 2 3 4 5 6 7 8 9 10 0 15 30 45 60 75 90 105 120
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Substitute the slope for m in our equation, or the rate of change of the height of the tree.
x y (4, 120)(7, 150) 0 1 2 3 4 5 6 7
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Each year, the height of the tree increases at a constant rate. So, we can draw a line through these two points to show the
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What does b, or the vertical intercept, 30 represent in this situation?
x y (3, 90)(6, 150) 0 1 2 3 4 5 6 7 8 9 10 0 15 30 45 60
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Now, solve for the value of b, or the vertical intercept.
x y (3, 90)(6, 150) 0 1 2 3 4 5 6 7 8 9 10 0 15 30 45 60 75 90 105 120
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What does the slope of 20 represent in this situation?
x y (3, 90)(6, 150) 0 1 2 3 4 5 6 7 8 9 10 0 21 42 63 84 105 126 147 168
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For each minute, the amount of water in the tank increases at a constant rate. So, we can draw a line through these two points
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To represent the relationship between time and the amount of water in the tank, a linear equation can be written in the form
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What does the slope of 5 represent in this situation?
x y (3, 100)(7, 120) 0 1 2 3 4 5 6 7 8 9 10 0 20 40 60 80 100 120 140 160
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For each minute, the amount of water in the tank increases at a constant rate. So, we can draw a line through these two points
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Why do you think the distribution of fur traits changed over time?
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Consider the following claim about how a female European earwig can increase her reproductive success:
Grooming eggs increases
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Animals often behave in certain ways that can increase their reproductive success. Read the passage about a specific animal
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Lyndsey’s advertising firm is working on a project for one of its customers. Lyndsey is asked to move a figure in the
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Natural Selection
Use the simulation to explore how a trait can change the likelihood of survival. 1 Press the orange button to
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Press the orange button to reset the simulation. Now, add wolves and press "Play". Observe the rabbit population through
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Leah receives a piggy bank containing 20 dollars for her birthday. Every week, Leah adds 10 dollars to the piggy bank. Represent
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Leah receives a piggy bank containing 20 dollars for her birthday. Every week, Leah adds 10 dollars to the piggy bank. Represent
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Write 74amperes using the unit abbreviation.
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Write 15.7ohms using the unit abbreviation.
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Write 13coulombs using the unit abbreviation.
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