1.09 Unit Test: Systems of Equations

Which ordered pair is the best estimate for the solution of the system of equations? y=−2/5x−2 y=5x+1 (0, −2) (−0.5, −1.75) (−0.5, −1) (−1, −2)

(-0.5, -1.75)

Solve the linear system of equations using the linear combination method. {8a−4b=20 5a−8b=62 Enter your answers in the boxes.

(-2, -9)

Graph the system of equations on graph paper to answer the question. {y=2x+7 y=−4x−5 What is the solution for the system of equations? Enter your answer by filling in the boxes.

(-2, 3)

Solve the system of equations using the linear combination method. {5p−3q=−39 −2p−3q=3 Enter your answers in the boxes.

(-6, 3)

Solve the system of equations using the substitution method. {2x+8y=4 x=−3y+5 Enter your answers in the boxes.

(14, -3)

Solve the system of equations using the linear combination method. {9x+5y=35 2x+5y=0 Enter your answers in the boxes.

(5, -2)

The table shows values for functions f(x) and g(x) . x f(x)=4x+20 g(x)=2^x+6 −6 −4 1 −5 0 2 −4 4 4 −3 8 8 −2 12 16 −1 16 32 0 20 64 What is the solution to f(x)=g(x) ? Select each correct answer. −6 −5 −4 −3 −2 −1 0

-4 and -3

Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 Drag the answers into the boxes to match each step. 10a+35b=0; 21a−35b=217 ​31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2

1- multiplication property of equality 2- addition property of equality 3- division property of equality 4- substitution property of equality 5- simplify 6- subtraction property of equality 7- division property of equality

Use a system of equations to solve this problem. Bronze is a mix, or alloy, of tin and copper. A metal worker needs 100 g of bronze that is 25% tin. He has one tin/copper alloy that is 5% tin and another tin/copper alloy that is 45% tin. Let x = the number of grams of the 5% tin alloy. Let y = the number of grams of the 45% tin alloy. How many grams of each alloy should the metal worker combine? Enter your answers in the boxes.

50-- g of the 5% tin alloy 50-- g of the 45% tin alloy

Graph the system of equations. {6x−4y=−24 4x−8y=−32 Use the Line tool to graph the lines.

graph at (-4, 6) and (-8, 4)

Graph the functions f(x)=−6x+2 and g(x)=−2^x+2 +6 on the same coordinate plane. What are the solutions of the equation −6x+2=−2x+2+6 ? Select each correct answer. x = 0 x = 1 x = 2 x = 3 x = 4

x=0 and x=2

This graph shows the functions f(x)=−6x−12 and g(x)=(1/2)^x −4. What are the solutions of the equation −6x−12=(1/2)^x−4? x = 12 and x = 0 ​x=−4​ and x = 12 ​x=−12​ and ​x = 12​ ​x=−4​ and x=−2

​x=−4​ and x=−2