Exam 4: Systems of Equations

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -Explain how the multiplication and addition principles are used in solving systems of equations using the addition method.

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Question 1

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The multiplication principle might be used to obtain a pair of terms that are
opposites. The addition principle is used to eliminate a variable. Once a variable
has been eliminated, the multiplication and addition principles are also used to
solve for the remaining variable and, after a substitution, are used again to solve for
the variable that was eliminated.

Write the word or phrase that best completes each statement or answers the question. - $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$ $\frac { 1 } { 4 } x - \frac { 1 } { 4 } y = - \frac { 7 } { 2 }$

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Question 2

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Write the word or phrase that best completes each statement or answers the question. -Explain why the solution of a system of equations is the point of intersection of the graphs of the equations.

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Question 3

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Each point on the graph corresponds to an ordered pair that is a solution of the
equation. The point of intersection of the graphs of two lines corresponds to an
ordered pair that is a solution of both equations and, hence, a solution of a system
of equations.

Write the word or phrase that best completes each statement or answers the question. -A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 5 bags of potato chips for $16.75. Another customer buys 2 hot dogs and 3 bags of potato chips for $9.25. Find the Cost of each item.

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Question 4

Write the word or phrase that best completes each statement or answers the question. -x + y = -4 x + y = -5

(Multiple Choice)

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Question 5

Write the word or phrase that best completes each statement or answers the question. -Describe the three possible outcomes when graphing a system of equations, and relate each to the type of solution(s) each system has.

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Question 6

Write the word or phrase that best completes each statement or answers the question. - 3x+6y=10 9x+18y=30

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Question 7

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -Write a system of equations that would be more easily solved using the addition method than the substitution method. Explain why addition would be easier than substitution.

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Question 8

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -Anne and Nancy use a metal alloy that is 19.4% copper to make jewelry. How many ounces of an alloy that is 11% copper must be mixed with an alloy that is 25% copper to form 80 ounces of the Desired alloy?

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Question 9

Solve the problem. - $\text { Ioe has a collection of nickels and dimes that is worth }$

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Question 10

Write the word or phrase that best completes each statement or answers the question. - x+y=-8 x-y=6

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Question 11

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 8x + 6 $\text { forms a dependent system }$

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Question 12

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 3x + 6 $\text { forms an inconsistent system }$

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Question 13

Solve the problem. -On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $8 each and a number of necklaces at $15 each. She wrote a check for $1100 to pay for The order. How many bracelets and how many necklaces did Rosaria purchase?

(Multiple Choice)

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Question 14

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -Bob fenced in a rectangular garden in his yard. The length of the rectangle is 4 feet longer than the width and the perimeter is 52 feet. What is the width of the rectangle?

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Question 15

Solve the problem. -There were 550 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $830. How many adults and how many children attended?

(Multiple Choice)

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Question 16

Write the word or phrase that best completes each statement or answers the question. - x+y=4 7x+7y=28

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Question 17

Write the word or phrase that best completes each statement or answers the question. -When graphing a system of two linear inequalities, the final shaded region is made up of all points which belong to the graphs of either of the individual inequalities.

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Question 18

Write the word or phrase that best completes each statement or answers the question. - y=6x+30 9x+8y=-102

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Question 19

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -Helen Weller invested $10,000 in an account that pays 12% APR. How much additional money must be invested in an account that pays an APR of 15% so that the total interest is equal to the Interest on the two investments at the rate of 13%?

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Question 20

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work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -Explain how the multiplication and addition principles are used in solving systems of equations using the addition method.

Write the word or phrase that best completes each statement or answers the question. - $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$ $\frac { 1 } { 4 } x - \frac { 1 } { 4 } y = - \frac { 7 } { 2 }$

Write the word or phrase that best completes each statement or answers the question. -Explain why the solution of a system of equations is the point of intersection of the graphs of the equations.

Write the word or phrase that best completes each statement or answers the question. -A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 5 bags of potato chips for $16.75. Another customer buys 2 hot dogs and 3 bags of potato chips for $9.25. Find the Cost of each item.

Write the word or phrase that best completes each statement or answers the question. -x + y = -4 x + y = -5

Write the word or phrase that best completes each statement or answers the question. -Describe the three possible outcomes when graphing a system of equations, and relate each to the type of solution(s) each system has.

Write the word or phrase that best completes each statement or answers the question. - 3x+6y=10 9x+18y=30

Solve the problem. - $\text { Ioe has a collection of nickels and dimes that is worth }$

Write the word or phrase that best completes each statement or answers the question. - x+y=-8 x-y=6

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 8x + 6 $\text { forms a dependent system }$

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 3x + 6 $\text { forms an inconsistent system }$

Solve the problem. -On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $8 each and a number of necklaces at $15 each. She wrote a check for $1100 to pay for The order. How many bracelets and how many necklaces did Rosaria purchase?

Solve the problem. -There were 550 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $830. How many adults and how many children attended?

Write the word or phrase that best completes each statement or answers the question. - x+y=4 7x+7y=28

Write the word or phrase that best completes each statement or answers the question. -When graphing a system of two linear inequalities, the final shaded region is made up of all points which belong to the graphs of either of the individual inequalities.

Write the word or phrase that best completes each statement or answers the question. - y=6x+30 9x+8y=-102

Review of Real Numbers

Linear Equations

Graphing Linear Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 4: Systems of Equations

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -Explain how the multiplication and addition principles are used in solving systems of equations using the addition method.

Write the word or phrase that best completes each statement or answers the question. - 14x+14y=0\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 041​x+41​y=0 14x−14y=−72\frac { 1 } { 4 } x - \frac { 1 } { 4 } y = - \frac { 7 } { 2 }41​x−41​y=−27​

Write the word or phrase that best completes each statement or answers the question. -Explain why the solution of a system of equations is the point of intersection of the graphs of the equations.

Write the word or phrase that best completes each statement or answers the question. -x + y = -4 x + y = -5

Write the word or phrase that best completes each statement or answers the question. -Describe the three possible outcomes when graphing a system of equations, and relate each to the type of solution(s) each system has.

Write the word or phrase that best completes each statement or answers the question. - 3x+6y=10 9x+18y=30

Solve the problem. - Ioe has a collection of nickels and dimes that is worth \text { Ioe has a collection of nickels and dimes that is worth } Ioe has a collection of nickels and dimes that is worth

Write the word or phrase that best completes each statement or answers the question. - x+y=-8 x-y=6

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 8x + 6 forms a dependent system \text { forms a dependent system } forms a dependent system

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 3x + 6 forms an inconsistent system \text { forms an inconsistent system } forms an inconsistent system

Solve the problem. -On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $8 each and a number of necklaces at $15 each. She wrote a check for $1100 to pay for The order. How many bracelets and how many necklaces did Rosaria purchase?

Solve the problem. -There were 550 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $830. How many adults and how many children attended?

Write the word or phrase that best completes each statement or answers the question. - x+y=4 7x+7y=28

Write the word or phrase that best completes each statement or answers the question. -When graphing a system of two linear inequalities, the final shaded region is made up of all points which belong to the graphs of either of the individual inequalities.

Write the word or phrase that best completes each statement or answers the question. - y=6x+30 9x+8y=-102

Review of Real Numbers

Linear Equations

Graphing Linear Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Write the word or phrase that best completes each statement or answers the question. - $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$ $\frac { 1 } { 4 } x - \frac { 1 } { 4 } y = - \frac { 7 } { 2 }$

Solve the problem. - $\text { Ioe has a collection of nickels and dimes that is worth }$

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 8x + 6 $\text { forms a dependent system }$

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 3x + 6 $\text { forms an inconsistent system }$