Math 40
Exam #3 Study Guide
Name:
Date:
Each problem is worth 4 points. Must show work for credit.
1. Graph each of the following ordered pairs on a rectangular coordinate system.
!
" !
"
1
1
(−1, −3), (3, 5), (0, −4), −5, −3
, 5, −
2
2
y
x
2. Right triangle ABC has legs of length 5. Point C is the ordered pair (−7, 9). Find the
coordinates of A and B.
y
C
x
A
B
3. Fill in the following ordered pairs for the equation.
2x − 5y = −10
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(0, ), ( , 0), (10, ), ( , -3)
1/5
Math 40 Exam #3 Study Guide.pdf (#54)
4. Which of the following ordered pairs are solutions to
y = 4x − 3?
(2, 5), (0, -3), (3, 0), (-2, 11)
5
5. The equation T = c + 2, can be used to find the cost, T in hundreds of dollars, of tuition
4
and fees of a community college where c is the number of credits a student registers for.
(a) What is the cost of tuition and fees for four three-unit courses?
(b) How many units will it take for the cost to be $2,200?
(c) Is it true that the cost will be $2,500 for 20 units?
6. Find three solutions to each equation, then graph the solution set.
1
y =− x+3
4
y
x
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7. Find the x- and y-intercepts for the following equations, then graph.
−8x + 4y = 24
y
x
8. For the graph below, find the x- and y-intercepts and the slope.
y
x
9. Find the slope of the line through each of the following pairs of points.
(a) (2, −3), (4, −7)
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(b) (−3, 5), (2, −8)
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10. Graph the line with the given slope and y-intercept.
2
m=− , b=4
3
y
x
11. Write the equation, in slope-intercept form, of the line whose graph is shown below.
y
•
•
x
12. Solve for the variable if the line through the two points (−1, x) and (−3, 5) has slope
m = 4.
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13. Find the equation of the line through (−5, 5) with a slope of 3.
14. Find the equation of the line passing through the points (−3, 1) and (−2, 4).
15. Graph the linear inequality in two variables.
3x − 4y > 12
y
x
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5/5
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