Systems of Linear Equations/Inequalities:Revised3/21/14

Systems of Linear Equations/Inequalities:Revised3/21/14

Math 8 Unit 7 Almost There Test

Directions: Read each question. Choose the best answer and then shade in the corresponding letter on your scantron sheet. Label each problem and show your work on a separate sheet of paper. You must turn in your “Working it out Paper,” scantron, and test! If you score an 80% or higher on the entire test (1-20), you may exempt the post-test. The quiz includes questions 1-15.

DO NOT WRITE ON THIS TEST!!!

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Systems of Linear Equations/Inequalities:Revised3/21/14

Knowledge & Understanding

System of Linear Equation
System of Inequalities
Coinciding Lines
Parallel Lines

1)Lines that have all pointsas the solution to a system of equations

2)Two or more equations that together define a relationship between variables usually in a problem situation. A system of equations can have no solution, one solution, or many solutions.

3)Two or more inequalities that together define a relationship between variables usually in a problem situation. A system of inequalities can have no solution or multiple solutions

4)What are the possible solutions for a system of equations?

AOne solution

BNo solution

CInfinite solutions

DAll of the above

5)Solve the system of equations.

A(–1, 11)

B(–1, 1)

C(–1, –1)

D(–4, –1)

6)Solve the system of equations.

A(2, 12)

B(12, 2)

C(2, –8)

D(13, 12)

7)Solve the system of equations.

A(-4, -3)

B(-4, 3)

C(4, 3)

D(4, -3)

8)Solve the system of equations.

A(6, 1)

B(-6, 1)

C(-6, -1)

D(6, -1)

9)Kerry and Luke biked a total of 18 miles in one weekend. Kerry biked 4 miles more than Luke. How many miles did Luke bike?

A11 miles

B4miles

C18 miles

D7 miles

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10)Solve the system graphically.

A /
(-4, -2)
B /
(-4, 2)
C /
(4, -2)
D /
(4, 2)

11)The solution to a set of linear equations is graphed. Which of the following could be the set of equations?

A / 2x + y = 4
y = 2
B / 2x + y = –4
y = 1
C / x = 1
x + 2y = 4
D / x = 1
x + y = 4

12)Wireless phone company A charges $20 per month plus 12¢ per minute. Wireless phone company B charges $50 per month plus 6¢ per minute. For how many minutes of calls will the monthly bills be the same?

A80 minutes

B100 minutes

C250 minutes

D500 minutes

13)Two basketballs and one football cost $92. Four basketballs and 3 footballs cost $212. Which system of equations could be used to find the costs of one basketball and of one football?

A /
B /
C /
D /

14)A bicyclist heads east at 19 km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30 km/h. About how long will it take the second cyclist to catch up to the first cyclist?

A /
It will take the second cyclist 3.2 hours to catch up to the first cyclist.
B /
It will take the second cyclist 3.7 hours to catch up to the first cyclist.
C /
D /
It will take the second cyclist 1.7 hours to catch up to the first cyclist.