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Write quadratic function to solve word problems

Select the quadratic function used to solve following word problem:
The difference of the squares of two consecutive even integers is 68. What are these numbers?

$(x+2)^2-(x)^2=68$

$(x+1)^2-(x)^2=8$

Select the quadratic function used to solve following word problem:
In the Annual Sports Meet in a girls’ school, the girls present in the meet, when arranged in a solid square has 16 girls less in the front row, than when arranged in a hollow square 4 deep. Find the number of girls present in the Sports Meet.

$x^2-(x-8)^2=(x-16)^2$

$〖2x〗^2-(x)^2=(x-16)^2$

Select the quadratic function used to solve following word problem:
Ernesto created a mindfulness app called Brain Shift. He conducted a survey to determine how the price to download the Brain Shift app will affect the number of downloads he sells. The survey indicated that if he charges x dollars per download, he will sell –25x+500 downloads per month.The app store will charge Ernesto 40% of the amount he charges per download. So, Ernesto will earn 60% of the amount he charges per download, or 0.6 X dollars, in profit. Which equation can Ernesto use to calculate the price he can charge per download to earn $1,100 per month in profit?

$1100=0.6x(-25x+500)$

$1100=0.6x(25x+500)$

Select the quadratic function used to solve following word problem:
A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/h, find the speed of the boat in still water.

$x^2-2x+7=0$

$2x^2-5x-7=0$

Select the quadratic function used to solve following word problem:
A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

$x^2-8x-64=0$

$x^2-x-64=0$

Select the quadratic function used to solve following word problem:
A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

$x^2-8x-64=0$

$x^2-x-64=0$

Select the quadratic function used to solve following word problem:
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

$3+14t-5t^2=0$

$3+t-5t^2=0$

Select the quadratic function used to solve following word problem:
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

$3+14t-5t^2=0$

$3+t-5t^2=0$

Select the quadratic function used to solve following word problem:
Find two consecutive integers that have a product of 42.

$x^2+x-42=0$

$2x^2-5x-7=0$

Select the quadratic function used to solve following word problem:
There are three consecutive integers. The product of the two larger integers is 30. Find the three integers.

$x^2=(x-16)^2$

$x^2+3x-28=0$

Questions

Time

Score

Write quadratic function to solve word problems

Select the quadratic function used to solve following word problem:
The difference of the squares of two consecutive even integers is 68. What are these numbers?

$(x+2)^2-(x)^2=68$

$(x+1)^2-(x)^2=8$

$x^2-(x-8)^2=(x-16)^2$

$〖2x〗^2-(x)^2=(x-16)^2$

$1100=0.6x(-25x+500)$

$1100=0.6x(25x+500)$

Select the quadratic function used to solve following word problem:
A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/h, find the speed of the boat in still water.

$x^2-2x+7=0$

$2x^2-5x-7=0$

Select the quadratic function used to solve following word problem:
A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

$x^2-8x-64=0$

$x^2-x-64=0$

Select the quadratic function used to solve following word problem:
A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

$x^2-8x-64=0$

$x^2-x-64=0$

Select the quadratic function used to solve following word problem:
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

$3+14t-5t^2=0$

$3+t-5t^2=0$

Select the quadratic function used to solve following word problem:
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

$3+14t-5t^2=0$

$3+t-5t^2=0$

Select the quadratic function used to solve following word problem:
Find two consecutive integers that have a product of 42.

$x^2+x-42=0$

$2x^2-5x-7=0$

Select the quadratic function used to solve following word problem:
There are three consecutive integers. The product of the two larger integers is 30. Find the three integers.

$x^2=(x-16)^2$

$x^2+3x-28=0$

Incorrect

Great!

Questions

Time

Score

Write quadratic function to solve word problems

Select the quadratic function used to solve following word problem:The difference of the squares of two consecutive even integers is 68. What are these numbers?

﻿(x+2)2−(x)2=68(x+2)^2-(x)^2=68(x+2)2−(x)2=68﻿

﻿(x+1)2−(x)2=8(x+1)^2-(x)^2=8(x+1)2−(x)2=8﻿

﻿x2−(x−8)2=(x−16)2x^2-(x-8)^2=(x-16)^2x2−(x−8)2=(x−16)2﻿

﻿〖2x〗2−(x)2=(x−16)2〖2x〗^2-(x)^2=(x-16)^2〖2x〗2−(x)2=(x−16)2﻿

﻿1100=0.6x(−25x+500)1100=0.6x(-25x+500)1100=0.6x(−25x+500)﻿

﻿1100=0.6x(25x+500)1100=0.6x(25x+500)1100=0.6x(25x+500)﻿

Select the quadratic function used to solve following word problem:A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/h, find the speed of the boat in still water.

﻿x2−2x+7=0x^2-2x+7=0x2−2x+7=0﻿

﻿2x2−5x−7=02x^2-5x-7=02x2−5x−7=0﻿

Select the quadratic function used to solve following word problem:A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

﻿x2−8x−64=0x^2-8x-64=0x2−8x−64=0﻿

﻿x2−x−64=0x^2-x-64=0x2−x−64=0﻿

Select the quadratic function used to solve following word problem:A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

﻿x2−8x−64=0x^2-8x-64=0x2−8x−64=0﻿

﻿x2−x−64=0x^2-x-64=0x2−x−64=0﻿

Select the quadratic function used to solve following word problem:A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

﻿3+14t−5t2=03+14t-5t^2=03+14t−5t2=0﻿

﻿3+t−5t2=03+t-5t^2=03+t−5t2=0﻿

Select the quadratic function used to solve following word problem:A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

﻿3+14t−5t2=03+14t-5t^2=03+14t−5t2=0﻿

﻿3+t−5t2=03+t-5t^2=03+t−5t2=0﻿

Select the quadratic function used to solve following word problem:Find two consecutive integers that have a product of 42.

﻿x2+x−42=0x^2+x-42=0x2+x−42=0﻿

﻿2x2−5x−7=02x^2-5x-7=02x2−5x−7=0﻿

Select the quadratic function used to solve following word problem:There are three consecutive integers. The product of the two larger integers is 30. Find the three integers.

﻿x2=(x−16)2x^2=(x-16)^2x2=(x−16)2﻿

﻿x2+3x−28=0x^2+3x-28=0x2+3x−28=0﻿

Incorrect

Great!

Select the quadratic function used to solve following word problem:
The difference of the squares of two consecutive even integers is 68. What are these numbers?

$(x+2)^2-(x)^2=68$

$(x+1)^2-(x)^2=8$

$x^2-(x-8)^2=(x-16)^2$

$〖2x〗^2-(x)^2=(x-16)^2$

$1100=0.6x(-25x+500)$

$1100=0.6x(25x+500)$

Select the quadratic function used to solve following word problem:
A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/h, find the speed of the boat in still water.

$x^2-2x+7=0$

$2x^2-5x-7=0$

Select the quadratic function used to solve following word problem:
A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

$x^2-8x-64=0$

$x^2-x-64=0$

Select the quadratic function used to solve following word problem:
A line segment AB is 8 cm in length. AB is produced to P such that BP22 = AB ∙ AP. Find the length of BP.

$x^2-8x-64=0$

$x^2-x-64=0$

Select the quadratic function used to solve following word problem:
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

$3+14t-5t^2=0$

$3+t-5t^2=0$

Select the quadratic function used to solve following word problem:
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground?

$3+14t-5t^2=0$

$3+t-5t^2=0$

Select the quadratic function used to solve following word problem:
Find two consecutive integers that have a product of 42.

$x^2+x-42=0$

$2x^2-5x-7=0$

Select the quadratic function used to solve following word problem:
There are three consecutive integers. The product of the two larger integers is 30. Find the three integers.

$x^2=(x-16)^2$

$x^2+3x-28=0$