Linear Equations

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2 

•  $y+6=\frac{1}{2}\left(x+6\right)$  

•  $x-2y=16$  

•  $y=\frac{1}{2}x-8$  

•  $y=\frac{1}{2}x-11$  

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CCSS.HSA.CED.A.2

Write a line equation in standard form given the point and slope: (3, -8); slope = -3

• $3x+y=1$

• $y=-3x+9$

• $y+8=-3\left(x-3\right)$

• $y=-3x+1$

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Write a linear equation in point-slope form given the point and slope: (5, -9), slope = -2/5

• $y+5=-\frac{2}{5}\left(x-9\right)$

• $y-5=-\frac{2}{5}\left(x+9\right)$

• $y-9=-\frac{2}{5}\left(x+5\right)$

• $y+9=-\frac{2}{5}\left(x-5\right)$

Tags

CCSS.HSA.CED.A.2

Write an equation in slope-intercept form given the point and slope: (-4, -7); slope = 1

• $y+7=x+4$

• $y=x-3$

• $y=x-7$

• $x-y=3$

Tags

CCSS.HSA.CED.A.2

Starting at sunrise, the temperature rose 2.5⁰ every hour. After 8 hours, the temperature was 67⁰. Write an equation in point-slope form to model the temperature, y, after x hours after sunrise. If sunrise was at 6:00 AM, what is the temperature at noon?

•   y+67=2.5(x+8) ; the temperature was 62⁰ at noon

•  y−67=2.5(x−8); the temperature was 62⁰ at noon

•  y−67=2.5(x−8); the temperature was 77⁰ at noon

•  y−8=2.5(x−67); the temperature was 77⁰ at noon

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSS.ID.C.7

The aquarium is draining a large fish tank. The pump they are using can drain 24 gallons per hour. After 3 hours, there are 78 gallons left in the tank. Write an equation in slope-intercept form to model the water left in the tank, y, after x hours of draining. How many gallons were originally in the tank?

• $y=-24x+78$ ; there was 78 gal in the tank initially

• $y=24x-150$ ; there was 150 gal in the tank initially

• $y=150x-24$ ; there was 24 gal in the tank initially

• $y=-24x+150$ ; there was 150 gal in the tank initially

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CCSS.6.EE.C.9

Ben and Julia rented a truck from the same company to move to college. Ben drive 150 miles and paid $64.95 while Julia drove 84 miles and paid $45.15. What is the slope and what does it represent in context to the situation.

• m = 0.30; it represents the cost per mile.

• m = 0.30; it represents the initial fee for the moving truck

• m = 19.95; it represents the initial fee for the moving truck

• m = 3.33; it represents the cost per mile.

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CCSS.8.EE.B.5

Allie orders candles from an online company that offers flat rate shipping. She placed an order for 4 candles for $35. A few months later, she placed an order for 12 candles for $95. Write an equation in point-slope form to model the total cost, y, for ordering x candles. How much is shipping?

• $y+35=7.5\left(x+4\right)$ ; shipping is $7.50

• $y-95=7.5\left(x-12\right)$ ; shipping is $7.50

• $y-35=7.5\left(x-4\right)$ ; shipping is $5

• $y+95=7.5\left(x+12\right)$ ; shipping is $5

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CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Which equations form a linear function?

• $y=2x-5$

• $y=x^2+2$

• $y=-x$

• $y=\frac{4}{x}$

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CCSS.8.F.A.3

If g(x) represents a vertical shift of f(x) = -x up 4 units followed by a vertical stretch (steepness) by a factor of 3. What is the rule of g(x)?

• $g\left(x\right)=-3x+12$

• $g\left(x\right)=-4x+12$

• $g\left(x\right)=-x+4$

• $g\left(x\right)=-3x+4$

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CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7