Download At home practice worksheet for test #6 answer key

Name _________________________________________________
Algebra 1
At Home Practice for Test #6 – Linear Systems and Everything Else
1. Graph the absolute value function.
2.a. Solve.
y = −|2 − x| + 5
4|2𝑥 + 8 | − 1 = 19
Domain: __________________
Range:____________________
2.b. Solve.
−2|3𝑥 + 5 | = 14
3. Solve the system of linear equations by graphing. Verify algebraically.
1
y = 3x − 4
y = -x
4. Solve the system of equations using substitution.
x – y = 10
3x + 5y = 16
5. Solve the system of equations using elimination.
9x – 2y = -20
-x + 3y = 6
6. Solve the system of linear equations by graphing. Explain
3
y= x−2
4
-6x + 8y = 16
7. Solve the system of linear equations by graphing. Explain
-9x – 3y = -15
y = -3x + 5
8. Solve the system of equations using elimination. Explain.
3x – 4y = -2
6x – 8y = 6
9. Solve the system of equations using substitution. Explain.
x + 2y = 2
3x + 6y = 6
10. Graph the system of linear inequalities on the coordinate plane below. Give a solution.
x – 3y > 18
4x + y > -3
11. Write the system of linear inequalities from the coordinate plane below.
12. Frankie took all of his friends out for pizza to celebrate the end of the school year. He bought 6 pies and 12
bottles of soda for $84. Everyone was still hungry so he purchased another 2 pies and 5 bottles of soda for $30.
How much does one pie cost? How much does one bottle of soda cost?
12.a. Write a system of linear equations and solve graphically.
12.b. Graph.
13. Frank sold necklaces and bracelets to help raise money for people of New Jersey whose homes were
destroyed by wild fires. Frank sold necklaces for $10 each and he sold bracelets for $5 each. Frank raised a
total of $700. He sold twice as many bracelets as necklaces. How many necklaces did he sell? How many
bracelets did he sell? Write a system of linear equations and solve.
14. Francisco had to go shirt shopping to get ready for his upcoming internship. He purchased some
undershirts and some dress shirts, but altogether he knew he had purchased 20 shirts. The undershirts cost $5
each and the dress shirts cost $25 each. If he spent a total $300, how many undershirts and how many dress
shirts did he purchase? Write a system of linear equations and solve.
15. Write the equation of the line that passes through (3, -6) and (5, 9).
16. A coupon club started in 1970 with a certain amount of members, and they have gotten more members each
year since. In 1980 the coupon club had 200 members. In 2010 the coupon club had 500 members.
a) Write a linear function that models the number of members N in terms of the number of years since 1970 t.
b) What does the slope represent?
d) How many members does the club have in 2016?
c) What does the y-intercept represent?