Download Systems of Linear Equations Test Review 1.) The tables below show

Systems of Linear Equations Test Review
1.) The tables below show values for two linear functions.
X
1
2
3
4
Y
2
4
6
8
X
3
4
5
6
Y
7
8
9
10
What is the solution to the system of equations represented by these tables?
2.) The graph and the equation below represent two different linear equations.
and
-6x+3y=3
What is the solution to the system of equations represented?
3.) The number of boys, b, is 10 less than twice the number of girls, g. There are a total of 29
students. Write and solve the system of equations that can be used to find the number of boys
and the number of girls.
4.) A math test has 25 questions. Some are worth 2 points and some are worth 3 points. The test
has 60 points total. Write the system of equations that can be used to determine the number of
2-point questions and the number of 3-point questions.
5.) What is the value of the independent variable in the system of equations below?
3x+8y=14
3x-4y=2
6.) Jessica has a sack of red marbles, r, and blue marbles, b. There are 25 total marbles. There are
3 more red marbles than blue marbles. Write and solve a system of linear equations to solve for
(r,b), the number of red and blue marbles.
7.)
The graphs of f(x)=2x+1 and g(x)=x-2 are shown below.
For what value of x will f(x)=g(x)?
8.) The tables for two linear equations are shown below.
Write the equations in slope intercept form that represent each of these tables.
9.) How many solutions does the following system of equations have?
2x+3y=6
8x+12y=16
10.) A group of 19 people (adults and students) went to a museum. Each adult paid $9 and each
student paid $4. All together the group paid $111. Write a system of equations to find the
number of adults, a, and the number of students, s, that went to the museum.
11.) What is the solution to the following system of equations?
x+4y=4
and
y=-1/4x+1
12.) The sum of two numbers is 20 and the difference of the same two numbers is 14. Write a
system of equations that could be used to determine the two numbers.