Download d72a_unit_3a_review_sheet

Systems of Equations - Review
Name ________________
Please put your answer to each question in the box provided.
1. Write the following equations in y = mx + b form and then identify the slope, xintercept, and y–intercept.
a. 3x - y = 4
d. 2x + y = 8
e. – 4x + 2y = –10
Eq:
Eq:
Eq:
Slope:
Slope:
Slope:
Y-int:
Y-int:
Y-int:
2. Mary is selling bracelets and necklaces. She sells each bracelet for $5 and each
necklace for $8
a. What equation shows Mary’s income I from the number of bracelets x she sells
and the number of necklaces y she sells?
b. Find Mary’s income from selling her jewelry if she sells:
i.
5 bracelets and 8 necklaces
ii. 13 bracelets and 9 necklaces
c. Write an equation relating number of bracelets and necklaces Mary must sell in
order to make exactly $300.
d. Find 3 pairs of numbers of bracelets and necklaces that will bring Mary an
income of $300.
1.
2.
3.
3.
Jill is planning a canoe trip and wants to figure out which river offers the best deal.
She researched her options, and she found the following two packages.
Wild Waters
White Rapids
$5 fee
+
$2 per hour for rental
$8 fee
+
$1 per hour for rental
a. Write equations to represent each of the canoe packages.
b. Graph each equation on the graph to the right.
c. Under what circumstances are the costs for the canoe packages the same and
what will that cost be?
d. Under what circumstances
is White Rapids cheaper
than Wild Waters?
e. What is the cost of a canoe
rental for Wild Waters if
you rent the canoe for 8
hours?
4. Name the three methods used to solve
systems of equation.
i.
ii.
iii.
5. Complete the following table:
Intersecting Lines
Parallel Lines
Number of Solutions
Slopes
Y-Intercepts
Solve each system of equations using the method of your choice.
 y  3x  1
6. 
 y  2 x  4
8 x  6 y  122
9. 
 4 x  6 y  94
5 x  7 y  77
7. 
5 x  3 y  53
 x  2 y  200
8. 
 x  y  50
2 x  3 y  11
10. 
3x  2 y  21
Coincident (Same) Lines