Unit 2B Practice Test (Solving Systems of Equations)

Unit 2B Practice Test (Solving Systems of Equations)

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____1.Which graph represents the solution to the system of equations?

y = x + 1

y = 2x – 1

a. / / c. /
b. / / d. /

____2.Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Find the number of months after which they will have the same number of CDs.

a. / 1 month / c. / 2 months
b. / 3 months / d. / 33 months

____3.What is the solution to the system?

a. / (–4, –21) / b. / (2, 3) / c. / (–2, –12) / d. / (2, –3)

____4.What is the solution to the system?

3x + 2y = 7

y = –3x + 11

a. / (6, –3) / b. / (6, –7) / c. / / d. / (5, –4)

____5.What is the solution to the system?

2x + 2y = 12

5x – 2y = 2

a. / (4, 2) / b. / (2, 4) / c. / (2, 5) / d. / (3, 3)

____6.How many solutions does the system have?

a. / one solution / c. / infinitely many solutions
b. / two solutions / d. / no solution

____7.How many solutions does the system have?

a. / one solution / c. / infinitely many solutions
b. / two solutions / d. / no solution

____8.A rental car agency charges a flat fee of $139.00 plus $30.00 per day to rent a certain car. Another agency charges a fee of $13.00 plus $51.00 per day to rent the same car.

Write a system of equations to find the number of days for which the costs are the same. Round your answer to the nearest whole day.

a. / 3 / c. / 6
b. / 9 / d. / 11

____9.Solve the system.

a. / infinitely many solutions / c. / (5, –2)
b. / (–5, 2) / d. / no solutions

____10.The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.80. Today they made $98.80 from the 70 wraps sold. How many of the wraps sold were vegetarian?

a. / 36 wraps / c. / 30 wraps
b. / 37 wraps / d. / 34 wraps

____11.What is the y value of the solution to the system below?

a. / 2 / b. / 30 / c. / –30 / d. / –2

____12.Which graph represents the solution to the system ?

a. / / c. /
b. / / d. /

____13.Kaylee wants to find an exact solution to the system shown. What method would be the most straightforward for her to use?

a. / The elimination method because one variable in each equation has the same coefficients.
b. / This system has no solution so the method selected does not matter.
c. / The graphical method because it gives a visual representation of the solution.
d. / The substitution method because you can easily solve one equation for a variable.

Short Answer

14.At what value does f(x) = g(x)?

f(x) = 2x + 6

g(x) = 4x

15.Use the best method to solve the system.

y = 5x + 6

y = 4x

16.Use any method to solve the system.

2x + 4y = –18

x + 16y = –37

17.Use the best method to solve the system.

18.A resort offers two weekend specials. One includes a 2-night stay with 3 meals that cost $195. The other includes a 3 night stay with 5 meals that cost $300. Write AND solve a system of equations that models this offer