Exam 4: Systems of Linear Equations
Exam 1: The Basics329 Questions
Exam 2: Linear Equations and Inequalities310 Questions
Exam 3: Linear Equations and Inequalities in Two Variables155 Questions
Exam 4: Systems of Linear Equations135 Questions
Exam 5: Exponents and Polynomials300 Questions
Exam 6: Factoring295 Questions
Exam 7: Rational Expressions302 Questions
Exam 8: Roots and Radicals215 Questions
Exam 9: Quadratic Equations212 Questions
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The difference of two numbers is
Their sum is
Find the two numbers.


(Multiple Choice)
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Solve the system by solving one of the equations for x or y and then use the substitution method.
If the system is dependent or inconsistent , or if there is no solution , indicate this.

(Essay)
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Solve the system of linear equations by the elimination method. 

(Multiple Choice)
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Two positive numbers have a difference of
The larger number is one more than twice the smaller. Find the two numbers.

(Multiple Choice)
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Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

(Multiple Choice)
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Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him
a month in loan payments, and it gets
miles per gallon in gas mileage. The car will cost
a month in loan payments, but it gets
miles per gallon in gas mileage. Daniel estimates that he will pay
per gallon for gas. This means that the monthly cost to drive the truck
miles will be
The total monthly cost to drive the car
miles will be
. The following figure shows the graph of each equation.
At how many miles do the car and the truck cost the same to operate? __________ miles










(Short Answer)
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Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.
If the system is dependent or inconsistent , or if there is no solution , indicate this.

(Essay)
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The difference of two positive numbers is
The larger is twice the smaller decreased by
Find the two numbers.


(Essay)
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(42)
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

(Essay)
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The Bishop's Peak 4H club is having its annual fundraising dinner. Adults pay $30 apiece and children pay $15 apiece. If the number of adult tickets sold is twice the number of children's tickets sold, and the total income for the dinner is $3,750, how many of each kind of ticket did the 4H club sell?
(Multiple Choice)
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Ms. Hagan invested twice as much money in an account that pays
interest as she did in an account that pays
in interest. Her total investment pays her
a year in interest. How much did she invest at each rate?



(Multiple Choice)
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(40)
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

(Multiple Choice)
4.8/5
(43)
Solve the system of linear equations by the elimination method. 

(Multiple Choice)
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(33)
Maria has
in dimes and nickels. She has a total of
coins. How many of each kind does she have? __________ nickels __________ dimes


(Essay)
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