Nt1310 Unit Test

Words: 324
Pages: 2

Graded Assignment
Unit Test, Part 2: Systems of Equations
Show all your work.
Total score: ____ of 26 points
(Score for Question 1: ___ of 10 points)
1. At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice and two pancake specials is $2.90.
(a) Write a system of two equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special.
(b) Use the substitution method to solve the system of equations.
(c) What would be the bill for one glass of orange juice and one pancake special?
Answer:

three glasses of orange juice and five pancake specials is $7.60
3j + 5p = 7.60

one glass of orange juice and two pancake specials is $2.90
…show more content…
For the system below:
(a) Solve the system by the linear combination method. Show all work carefully.
(b) Check your answer. Answer:

a + b = 2(b+3) a + b = 2b + 6 a - b = 6

a - 2b = 2 – a - b = 6
–––––––
-b = -4 b = 4

Put this "B" value into the 1st equation: a - 2b = 2 a - 8 =