Unit 4 Study Guide

Unit 4 Study Guide

Unit 4 Test Tomorrow!!

​Unit 4 ALEKS Homework due tomorrow night

Multiple Choice

Which represents the slope formula?

• $$m=\frac{y_2-y_1}{x_2-x_1}$$

• $$Ax+By=C$$  

• $$y=mx+b$$  

Multiple Choice

Which represents slope-intercept form?

• $$m=\frac{y_2-y_1}{x_2-x_1}$$

• $$Ax+By=C$$  

• $$y=mx+b$$  

Multiple Choice

Which represents standard form?

• $$m=\frac{y_2-y_1}{x_2-x_1}$$

• $$Ax+By=C$$  

• $$y=mx+b$$  

Multiple Choice

#1 Find the slope of the line shown on the graph.

• $$-\frac{4}{3}$$  

• $$-\frac{3}{4}$$  

• $$\frac{3}{4}$$  

• $$\frac{4}{3}$$  

Multiple Choice

#2 Find the slope of the line shown on the graph.

• $$\frac{1}{2}$$  

• $$-\frac{1}{2}$$  

• $$2$$  

• $$-2$$  

Multiple Choice

#3 Find the slope of the line shown on the graph.

• 0

• $$-4$$  

• $$4$$  

• undefined

Multiple Choice

#4 Find the slope of the line that passes through the two points.

• $$\frac{2}{5}$$  

• $$-\frac{2}{5}$$  

• $$2$$  

• $$-2$$  

Multiple Choice

#5 Find the slope of the line that passes through the two points.

• $$-\frac{1}{6}$$  

• $$-\frac{1}{3}$$  

• $$-3$$  

• $$3$$  

Multiple Choice

#6 Find the slope of the line that passes through the two points.

• Undefined

• $$0$$  

• $$7$$  

• $$-7$$  

Fill in the Blank

#7 A car worth $27,500 in 2016 is worth $16,720 in 2020. Find the average rate of change in the value of the car.

Type with no comma and no dollar sign!

Multiple Choice

#8 Graph the equation using slope-intercept form. Look carefully!

Multiple Choice

#9 Graph the equation using slope-intercept form. Look carefully!

Multiple Choice

#10 Graph the equation using slope-intercept form. Look carefully!

Multiple Choice

#11 Graph the equation using slope-intercept form. Look carefully!

​For #12-15...

Fill in the Blank

#12 Convert to slope-intercept form.

​Type the entire question as your answer with NO SPACES. Type fractions using /.

Fill in the Blank

#13 Convert to slope-intercept form.

​Type the entire question as your answer with NO SPACES. Type fractions using /.

Fill in the Blank

#14 Convert to slope-intercept form.

​Type the entire question as your answer with NO SPACES. Type fractions using /.

#14 graph

Fill in the Blank

#15 Convert to slope-intercept form.

​Type the entire question as your answer with NO SPACES. Type fractions using /.

​#15 graph

Multiple Choice

#16 Find the x- and y-intercept.

• x-intercept: (-5, 0)

  y-intercept: (0, 5)

• x-intercept: (5, 0)

  y-intercept: (0, -5)

• x-intercept: (5, 0)

  y-intercept: (0, 5)

• x-intercept: (-5, 0)

  y-intercept: (0, -5)

​#16 graph

Multiple Choice

#17 Find the x- and y-intercept.

• x-intercept: (-5, 0)

  y-intercept: (0, -1)

• x-intercept: (5, 0)

  y-intercept: (0, 1)

• x-intercept: (1, 0)

  y-intercept: (0, 5)

• x-intercept: (1, 0)

  y-intercept: (0, -5)

​#17 graph

Multiple Choice

#18 Find the x- and y-intercept.

• x-intercept: (-4, 0)

  y-intercept: (0, 3)

• x-intercept: (3, 0)

  y-intercept: (0, 4)

• x-intercept: (-3, 0)

  y-intercept: (0, -4)

• x-intercept: (-4, 0)

  y-intercept: (0, -3)

​#18 graph

Multiple Choice

#19 Find the x- and y-intercept.

• x-intercept: (-2, 0)

  y-intercept: (0, 5/4)

• x-intercept: (4/5, 0)

  y-intercept: (0, -2)

• x-intercept: (5/4, 0)

  y-intercept: (0, -2)

• x-intercept: (5/4, 0)

  y-intercept: (0, 2)

​#19 graph

Multiple Choice

#20 Graph each equation.

y=1

Multiple Choice

#21 Graph each equation.

x=-6

Multiple Choice

#22 Which ordered pair is a solution to the linear inequality below?

$$2x-3y<9$$  

• A. (6, -4)

• B. (-1, -9)

• C. (2, -5)

• D. (-3, -3)

Multiple Choice

#23 Which type of line and shading are needed for your graph?

$$y\le\frac{5}{3}x-4$$  

• Solid line

  Shaded above

• Solid line

  Shaded below

• Dotted line

  Shaded above

• Dotted line

  Shaded below

​#23 graph

Multiple Choice

#24 Graph the inequality.

$$12x+8y>24$$  

Multiple Choice

#25 Graph the inequality.

$$x<3$$