Download Unit 6 Group Test - Sonoma Valley High School

Algebra: Chapter 7 Team Test
Name_____________________________________
1. Solve the system using the equal values method
and write your answer as a coordinate pair.
y  3x  2
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6
and
Graph each equation to find where the lines
intersect.
y  2x  3
solution: (
,
)
2a) Plot the points 2,  1 and 2, 7 
b) Draw a slope triangle for these points
y

The slope is _______
x
c) Find the slope algebraically (show work)
d) Use the graph to find the equation of the line
e) Find the equation of the line algebraically
(show work)
____
6
3. Simplify the following by combining like terms
a) x 2  5x  6  (2x 2  x  7)

____
4




b) x 2  8x  17  (x 2  x  3)  2x 2  3x  10

4. Solve each system of equations for x and y
y  3x 11

x  y  3

solution: (
,
)
solution: (
,
)
solution: (
,
)
 x  y  4

x  2y  13

4 x  3y  7

2x  9y  35

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5. Solve each of the following equations for x and check your work.
3x  1  4 x  2   6
x  2 x 1

3
2
____
4
6.
Create a table and graph the rule y  x 2  4
x
y
-3
-2
-1
0
1
2
3
Where does the graph touch each axis?
x-int: (
,
)
(
,
)
y-int: (
,
)
____
5
7. Find the slope of the line through these two points.
(49, 40) and 33, 72 
(3, 2) and
6,  8 
____
4
8. At the soccer match, Hot Dogs are sold for $3 each and Colas are sold for $2 each. There were 3 times
as many colas sold as hot dogs. If a total of $72 was collected, how many of each item were sold?
Let h = hot dogs
c = colas





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4
sentence: ________________________________________________________________________
____
850
9. Write an equation for each line in y  mx  b form.
a) The line has a slope of 3 and passes through
b) The line has a slope of 2 and passes
through 1, 7 
2, 9 
c) The line has a slope of zero and passes
through 22, 35 
d) The line has a slope of 3 and passes has an
x-intercept of 2
Bonus:
Pearl has a new Standard Poodle named Roscoe. Roscoe is 7 weeks old and weighs 3000g. Pearl weighed
Roscoe over several days and found that he gains 43g each day. Assume that he has gained the same amount of
weight each day since birth. Make a graph and write an equation to find out how much Roscoe weighed at birth
(let x = number of days and y = number of ounces). Which method is more accurate? Why?
x
y
He weighed __________ grams at
birth.
equation:
__________________________
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4
More accurate method? Why?
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