Download 1. a. function b.

Unit 1/Lesson 2 I2/L3 Practice Quiz
Name________________________
1. Tamika pays $0.08 a minute for any daytime (7A.M.-7P.M. on weekdays) longdistance calls she makes and $0.04 a minute for night and weekend long-distance
calls she makes.
a. Tamika's long-distance bill B depends on the number of daytime minutes d and the
number of night/weekend minutes w she uses. Write a rule expressing B as a
function of d and w.
b. Tamika has budgeted $10 per month for long-distance. Write an equation that
represents all the combinations of daytime and night/weekend minutes she can use
and have her long-distance bill be exactly $10.
c. If Tamika talks for 60 minutes at night and during the weekend, how long can she
talk during the day if she only has $10.
d. If Tamika talks for 60 minutes during the day, how long can she talk during the
night and weekend if she only has $10.
e. Rewrite your equation from Part b so that it expresses w as a function of d. Then
describe what the slope and y-intercept of the graph of this function would tell you.
f. Find three (d, w) pairs of daytime and night/weekend minutes that are solutions to
your equation in Part e.
2. Solve the system of equations by using the graphing method.
-2x + 4y = 12
5x - 2y = 10
3. Solve the system of equations by using substitution.
-3x + y = -5
5x – 8y = -17
4. Solve the system using the elimination method.
2x - y = 3
4x + 3y = 21
5.
Use substitution or elimination to determine if the two lines below intersect. (Your
answer should be one of the following: infinitely many solutions, no solution, or one
solution).
-3x – 3y = -18
3x + 3y = 3
6.
Use substitution or elimination to determine if the two lines below intersect. (Your
answer should be one of the following: infinitely many solutions, no solution, or one
solution).
x + 2y = 5
7.
3x + 6y = 15
Pat bought 16 pounds of nuts to have as refreshments at a party. Pat bought some peanuts and
some almonds. The total cost of the nuts was $60. The peanuts cost $3 per pound and the
almonds cost $5 per pound. Write a system of equations that can be used to determine
how many pounds of each type of nut Pat bought. Make sure you explain what each
variable represents. Then use a matrix and your calculator to solve the system.