Unit 3 review

Unit 3 test review

Multiple Choice

What is the slope of the line that goes through the points (42, 16) and (40, 36)?

• 20

• -10

• -6

• 1/2

Write your slope formula down.

 $\frac{y_2-y_1}{x_2-x_1}$  

Multiple Choice

Find the x-intercept of the line. 4x+6y=14.1

You will find the y-intercept on the next question.

• x=3.525

• x=2.35

• x=4

• x=6

Multiple Choice

Find the y-intercept of the line. 4x+6y=14.1

• y=3.525

• y=2.35

• y=4

• y=6

Multiple Choice

What point lies on the line

 $y+5=\frac{2}{3}\left(x+2\right)$  

• (2,5)

• (5,2)

• (2,3)
  

• (-5,-2)
  

• (-2,-5)

Point Slope form

Remember that the point has the opposite signs of what it looks like in the equation

Multiple Choice

What point lies on the line

 $y-3=2\left(x+7\right)$  

• (-3,7)

• (7,-3)

• (3,7)
  

• (-7,3)
  

• (-3,-7)

Multiple Choice

Given the equation  $y=-\frac{3}{5}x-2$     . What is the y-intercept? On the next question I will ask you the slope.

• y=-2

• y=2

• y= $-\frac{3}{5}$  

Multiple Choice

Given the equation  $y=-\frac{3}{5}x-2$     . What is the slope of the line?

• -2

• 2

•  $-\frac{3}{5}$  

Multiple Choice

 $15x+12=-3y+6$  

Find the y-intercept of the given line.

• 12

• 6

• -12

• -2

Multiple Choice

 $15x+12=-3y+6$  

Find the slope of the given line.

•  $-\frac{1}{5}$  
  

• 5

• -5

• 15

Be sure you can graph a line.

To graph, you need to solve for y to find your y-intercept and slope.

Multiple Choice

Write the equation of the line that goes through (-3,-5) and has a slope of  $\frac{3}{2}$  in point-slope form. 

•  $y+3=\frac{3}{2}\left(x+5\right)$  

•  $y+5=\frac{3}{2}\left(x+3\right)$  

•  $y-3=\frac{3}{2}\left(x-5\right)$  

•  $y-5=\frac{3}{2}\left(x-3\right)$  

Multiple Select

 $3y-x\le-6$  

Choose all of the ordered pairs that are solutions to the inequality,

• (6,0)

• (2,-1)

• (0,-2)

• (3,-2)

• (0,6)

Multiple Choice

Jim’s fundraiser BBQ needs to make at least $1000 in sales on Saturday. He sells hot dogs for $2 each and hamburgers for $3 each, and he wants to sell at least twice as many hamburgers as hot dogs. He brought 300 hot dogs and 800 hamburgers to sell.

The graph shows the feasible region, where x represents the number of hot dogs sold and y represents the number of hamburgers sold.

Which ordered pairs meet all the constraints for a successful fundraiser and make sense in context of the situation?

Select each correct answer.

• Read the situation and choose this answer when finished

• Did you read the situation? the answer choices are on the next page.

Which ordered pairs make sense for this situation?

• (200, 350)

• (0, 350)

• (100.5, 800.5)

• (250, 700)

• (275, 0)

Multiple Select

Which ordered pairs meet all the constraints for a successful fundraiser and make sense in context of the situation? Choose all that apply.

• (200, 350)

• (0, 350)

• (100.5, 800.5)

• (250, 700)

• (275, 0)

Multiple Choice

•You receive an $80 gift card to the bookstore. Hardback books cost $8 and paperback books cost $4. Write an inequality that represents the situation.

• 80x>12

• $8x+4y<80$
  

• $8x+4y\le80$
  

• 12x<80

You can now take your Unit 3 test

If you need more help with any of these types of questions, refer to USATP, Algebra Nation, EdPuzzle, or your course for extra help.