Quiz about Linear Equations in X

Question 1

$$Is\ the\ equation\ true\ when\ \ x=-3?\ $$

Equation: 6x + 5 = 5x + 8 + 2x

Accepted Answer

Yes

Answer

No

Question 2

Does x = 12 satisfy the equation

Accepted Answer

Yes

Answer

No

Question 3

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

Accepted Answer

$$y=\frac{1}{2}x-8$$

Answer

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

Answer

$$x-2y=16$$

Answer

$$y=\frac{1}{2}x-11$$

Question 4

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

Accepted Answer

$$3x+y=1$$

Answer

$$y=-3x+9$$

Answer

$$y+8=-3\left(x-3\right)$$

Answer

$$y=-3x+1$$

Question 5

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

Accepted Answer

$$y=x-3$$

Answer

$$y+7=x+4$$

Answer

$$y=x-7$$

Answer

$$x-y=3$$

Question 6

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

Which equations form a linear function?

Accepted Answer

$$y=2x-5$$

Accepted Answer

$$y=-x$$

Answer

$$y=x^2+2$$

Answer

$$y=\frac{4}{x}$$

Question 9

Which equation represents the graph of the function with point (-2, 5) and slope of 3?

Accepted Answer

$$y-5=3\left(x+2\right)$$

Answer

$$y=3x+5$$

Answer

$$3x-y=11$$

Answer

$$y-5=3\left(x-2\right)$$

Question 10

What is the equation and slope of the line shown on the grid?

Accepted Answer

x = 6; slope is undefined

Answer

y = 6; slope is -1

Answer

x = 6; slope is zero

Answer

y = 6; slope is 6

Linear Equations in X

15 questions

Create a linear equation that has x = 5 as a solution.

Does x = 4 make the equation 2x + 16 = 3x + 12 true?

Is 2 a solution to the linear equation -3x -10 = 2(x + 1) - 2? Show your work.

Create a linear equation that has -1 as a solution.

Does x = 12 satisfy the equation

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

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

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

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