MATH 110 COMPREHENSIVE EXAM STUDY
GUIDE WITH COMPLETE SOLUTIONS
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation.
y=1
Answer: Slope is m= 0
Y-intercept= (0,1)
●● Use the graphing tool to graph the linear equation. Use the slope and
y-intercept when drawing the line.
2x+y=1
Answer:
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
9x-12y=84
Answer: The slope is: 3/4
The y-intercept is (0,7)
,●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
-21=4x+7y
Answer: The slope is m= -4/7
The y-intercept (0,-3)
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
5x+3y=0
Answer: The slope is -5/3
The y-intercept is (0,0)
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
y-5=0
Answer: The slope is m=0
The y-intercept is (0,5)
, ●● Find the approximate x-intercept and the approximate y-intercept of
the equation below.
6.1x+3.7y=9.9
Answer: The x-intercept of the given equation is (1.62,0)
The y-intercept of the given equation is (0,2.68)
●● A student thinks the graph of 6+7x=6 has slope 7 because the
coefficient of the 7x term is 7. Is the student correct? If yes, explain why.
If no, find the slope.
Answer: The student is incorrect. The slope is -7/6
●● Determine whether the relation is a function. Explain.
3x-8y=16
Answer: Yes, because the equation can be written in the form y=mx+b,
where m and b are constants.
●● Determine whether the relation is a function. Explain.
x=6
GUIDE WITH COMPLETE SOLUTIONS
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation.
y=1
Answer: Slope is m= 0
Y-intercept= (0,1)
●● Use the graphing tool to graph the linear equation. Use the slope and
y-intercept when drawing the line.
2x+y=1
Answer:
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
9x-12y=84
Answer: The slope is: 3/4
The y-intercept is (0,7)
,●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
-21=4x+7y
Answer: The slope is m= -4/7
The y-intercept (0,-3)
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
5x+3y=0
Answer: The slope is -5/3
The y-intercept is (0,0)
●● Determine the slope and the y-intercept. Use the slope and the y-
intercept to graph the equation. Use a graphing calculator to verify your
work.
y-5=0
Answer: The slope is m=0
The y-intercept is (0,5)
, ●● Find the approximate x-intercept and the approximate y-intercept of
the equation below.
6.1x+3.7y=9.9
Answer: The x-intercept of the given equation is (1.62,0)
The y-intercept of the given equation is (0,2.68)
●● A student thinks the graph of 6+7x=6 has slope 7 because the
coefficient of the 7x term is 7. Is the student correct? If yes, explain why.
If no, find the slope.
Answer: The student is incorrect. The slope is -7/6
●● Determine whether the relation is a function. Explain.
3x-8y=16
Answer: Yes, because the equation can be written in the form y=mx+b,
where m and b are constants.
●● Determine whether the relation is a function. Explain.
x=6
