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MA40 Chapter 3.1-3.2 Review WS
Name
HW # 24
Graph each system and state the solution.
y  2x  4
1.
2.
2
y x8
5
solution _______________
2x  4 y   8
 6x  3y   3
solution _______________
------------------------------------------------------------------------------------------------------------------------------Choose the most efficient method for solving the system.
(Graphing (G), substitution (S) or elimination (E))
3.
y  2x  8
3x  2 y  13
4.
4 x  5 y   34
2 x  4 y  22
5.
( y  3)   4 ( x  1)
x  5
Circle One:
Circle One:
Circle One:
G S E
G S E
G S E
------------------------------------------------------------------------------------------------------------------------------Solve one of the systems in problems #3-5 by the
6. substitution method problem # _____
7. elimination method problem # _____
solution _______________
solution _______________
Determine if (-3, -5) is a solution to each system of equations.
3x  4 y 1
x  y  8
8.
9.
2 x  5 y   31
x y2
YES or NO
YES or NO
------------------------------------------------------------------------------------------------------------------------------Solve the systems using any method.
x  20  y
 3 x  4 y   16
10.
11.
2 x  3 y  10
5x  2 y  8
solution _______________
solution _______________
------------------------------------------------------------------------------------------------------------------------------12. Kaylie has designed two styles of handbags that she wants to sell during the Christmas season. She
only has time to make 100 handbags. The larger bag will be sold for $15 and the smaller bag will be sold
for $10. How many of each bag must she make and sell in order to make $1200 for her own Christmas
shopping?
(a) Define variables.
(b) Write the equations.
(c) Solve the system.
(d) Answer with labels.
13. M & M candies that sell for $6 per pound will be mixed with peanuts that sell for $3 per pound to
make 8 pounds of a snack that sells for $5 per pound. How many pounds of peanuts must be used?
(a) Define the variables.
(b) Write the equations.
(c) Solve the system.
(d) Answer with labels.
------------------------------------------------------------------------------------------------------------------------------Do the following relations represent functions?
13. yes or no
14. yes or no
x
-5
-3
-1
y
4
6
4
domain: ____________________
range:
____________________
------------------------------------------------------------------------------------------------------------------------------15. Given the points: (7, 3) and (-4, 6):
(a) find the slope
(b) write an equation of the line
------------------------------------------------------------------------------------------------------------------------------16. Write an equation of the line that passes through the point (2, -5) and is perpendicular to the line
through the points (7, 3) and (-4, 6).
(a) y – 5 =
-3
(x + 2)
11
(b) y + 5 =
11
(x – 2)
3
(c) y – 5 =
-3
-11
(x + 2) (d) y + 5 =
(x – 2)
11
3
17. If two lines are parallel, then the solution to the system has:
(a) one solution
(b) two solutions
(c) many solutions
(d) no solutions
------------------------------------------------------------------------------------------------------------------------------18. Which line has undefined slope?
(a) x = 5
(c) 3x – 4y = 24
(b) y = -7
(d) y = x
------------------------------------------------------------------------------------------------------------------------------19. Which is a list of whole numbers?
(a) . . . -3, -2, -1, 0, 1, 2, 3, . . .
(b) 1, 2, 3, . . .
(c) 0, 1, 2, 3, . . .
(d)
2,
3,
5
------------------------------------------------------------------------------------------------------------------------------20. Determine the rate of change (slope) for the following:
(a)
(b)
For the points:
(6, – 10) and (9, – 12)
------------------------------------------------------------------------------------------------------------------------------21. Victoria can make 4 dozen cupcakes in 2 hours and 8 dozen cupcakes in 6 hours. What is her rate of
change in cupcakes per hour?
(a)
3
dozen/hour
4
(b) 1 dozen/hour
(c)
1
dozen/hour
2
(d) 2 dozen/hour
------------------------------------------------------------------------------------------------------------------------------22. Determine if the lines are parallel, perpendicular, or neither.
(a)
(b)
(c)
Line 1: (-5, -2) and (-5, -6)
Line 1: (1, 6) and (-4, 1)
Line 2: (0, 1) and (-6, 1)
Line 2: (3, 7) and (2, 6)
12x – 4y = -10
1
y  7   ( x  4)
3