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<object:standard:macc.912.a–rei.3.5>A order of equations is likenessn under:

x + 3y = 5      (equation 1)

7x – 8y = 6     (equation 2)

A tyro wants to confirm that if equation 2 is kept unchanged and equation 1 is replaced after a while the sum of equation 1 and a multiple of equation 2, the breach to the new order of equations is the corresponding as the breach to the primary order of equations. If equation 2 is multifarious by 1, which of the aftercited steps should the tyro use for the criterion?

 Show that the breach to the order of equations 3x + y = 5 and 8x –7y = 6 is the corresponding as the breach to the dedicated order of equations Show that the breach to the order of equations 8x – 5y = 11 and 7x – 8y = 6 is the corresponding as the breach to the dedicated order of equations Show that the breach to the order of equations 15x + 13y = 17 and 7x – 8y = 6 is the corresponding as the breach to the dedicated order of equations Show that the breach to the order of equations –13x + 15y = 17 and 7x – 8y = 6 is the corresponding as the breach to the dedicated order of equations

Question 2 

(05.02)<object:standard:macc.912.a–rei.3.6>

Solve the aftercited order of equations:

3x - 2y = 6

6x - 4y = 12

 (0, 0) (6, 12) Infinitely sundry breachs No breachs

Question 3 

(05.01)<object:standard:macc.912.a–rei.3.6>

Which graph under likenesss a order of equations after a while infinitely sundry breachs?

Question 4 

(05.02)<object:standard:macc.912.a–rei.3.6>

A order of equations is likenessn under:

x + y = 3

2x – y = 6

The x-coordinate of the breach to this order of equations is _____.

Numerical Answers Expected!

Answer for Blank 1:

Question 5 

(05.01)<object:standard:macc.912.a–rei.3.6>

The two continuitys, X and Y, are graphed under:

Determine the breach and the reasoning that justifies the breach to the orders of equations.

 (2, 7), owing this apex is gentleman for twain the equations (4, –6), owing this apex lies singly on one of the two continuitys (4, –6), owing this apex establishs twain the equations gentleman (2, 7), owing the continuitys interpenetrate the x-axis at these apexs

Question 6 

(05.06)<object:standard:macc.912.a–ced.1.3>

Nick toils two jobs to pay for seed-plot. He tutors for $15 per hour and too toils as a bag boy for $8 per hour. Due to his rank and consider list, Nick is singly able to toil up to 20 hours per week but must deserve at smallest $150 per week. If t reproduce-exhibits the compute of hours Nick tutors and b reproduce-exhibits the compute of hours he toils as a bag boy, which order of inequalities reproduce-exhibits this scenario?

 t + b  20

15t + 8b = 150 t + b  20

15t + 8b  150 t + b  20

15t + 8b  150 None of the orders likenessn reproduce-exhibit this scenario.

Question 7 

(05.02)<object:standard:macc.912.a–rei.3.5>

Two orders of equations are likenessn under:

System ASystem B2x + y = 5-10x + 19y = -1-4x + 6y = -2-4x + 6y = -2

Which of the aftercited propositions is chasten about the two orders of equations?

 They conquer enjoy the corresponding breachs owing the pristine equation of Order B is obtained by adding the pristine equation of Order A to 2 times the succor equation of Order A. They conquer enjoy the corresponding breach owing the pristine equation of Order B is obtained by adding the pristine equation of Order A to 3 times the succor equation of Order A. The rate of x for Order B conquer be –5 times the rate of x for Order A owing the coefficient of x in the pristine equation of Order B is –5 times the coefficient of x in the pristine equation of Order A. The rate of x for Order A conquer be correspondent to the rate of y for Order B owing the pristine equation of Order B is obtained by adding –12 to the pristine equation of Order A and the succor equations are same.

Question 8 

(05.06)<object:standard:macc.912.a–rei.4.12>

A order of direct inequalities is likenessn under:

y – x > 0

x + 1 < 0

Which of the aftercited graphs best reproduce-exhibits the breach set to this order of direct inequalities?

Question 9 

(05.02)<object:standard:macc.912.a–rei.3.6>

The completion value of a shirt and a cap is $11. If the value of the shirt was doubled and the value of the cap was 3 times its primary value, the completion value of a shirt and a cap would be $25. What is the value of a shirt and a cap?

 The value of a shirt is $9, and the value of a cap is $2. The value of a shirt is $10, and the value of a cap is $1. The value of a shirt is $8, and the value of a cap is $3. The value of a shirt is $7, and the value of a cap is $4.

Question 10 

(05.05)<object:standard:macc.912.a–rei.4.12>

Select the inadequacy that corresponds to the dedicated graph. 

 4x – 3y > – 12 –x + 4y > 4 4x – 2y < – 8 2x + 4y ≥ – 16

Question 11 

(05.03)<object:standard:macc.912.a–rei.4.10>

The graph of an equation is likenessn under:

Based on the graph, which of the aftercited reproduce-exhibits a breach to the equation?

 (–2,–3) (3, 1) (1, 3) (3, 2)

Question 12 

(05.03)<object:standard:macc.912.a–rei.4.11>

The tables under likeness the rates of f(x) and g(x) for unanalogous rates of x:

f(x) = 2(3)x 

xf(x)-20.22-10.670216218

g(x) = 3x + 9

xg(x)-29.11-19.33010112218

Based on the tables, what is the breach to the equation 2(3)x = 3x + 9?

 x = 0 x = 2 x = 12 x = 18

Question 13 

(05.03)<object:standard:macc.912.a–rei.4.11>

An equation is likenessn under:

What is the breach to the equation?

 x = –2 x = –1 x = 1 x = 2

Question 14 

(05.02)<object:standard:macc.912.a–ced.1.3>

Maya had $27. She gone-by all the currency on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya had bought 2 burgers and 1 sandwich, she would enjoy been left after a while $11. 

A tyro concluded that the value of each burger is $5 and the value of each sandwich is $6. Which proposition best justifies whether the tyro's quittance is chasten or inexact?

 The tyro's quittance is chasten owing the breach to the order of equations 3x + 2y = 11 and 2x + y = 16 is (5, 6). The tyro's quittance is inchasten owing the breach to the order of equations 3x – 2y = 11 and 2x – y = 16 is (5, 6). The tyro's quittance is chasten owing the breach to the order of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6). The tyro's quittance is inchasten owing the breach to the order of equations 2x + 3y = 27 and x + 2y = 16 is (5, 6).

Question 15 

(05.06)<object:standard:macc.912.a–rei.4.12>

Look at the graph under:

Which divorce of the graph best reproduce-exhibits the breach set to the order of inequalities y ≥ x + 1 and y + x ≤ –1?

 Part A Part B Part C Part D

Question 16 

(05.05)<object:standard:macc.912.a–rei.4.12>

A graph is likenessn under:

Which of the aftercited inequalities is best reproduce-exhibited by this graph?

 5x + y ≤ 2 5x + y ≥ 2 5x – y ≤ 2 5x – y ≥ 2

Question 17 

(05.01)<object:standard:macc.912.a–rei.3.6>

The graph concocts indelicate equations, A, B, C, and D:

Which span of equations has (0, 8) as its breach?

 Equation A and Equation C Equation B and Equation C Equation C and Equation D Equation B and Equation D

Question 18 

(05.03)<object:standard:macc.912.a–rei.4.11>

The graph under likenesss two functions:

Based on the graph, what are the border breachs to the equation –2x + 8 = (0.25)x?

 8 and 4 1 and 4 –1.7 and 4 1.7 and –4

Question 19 

(05.05)<object:standard:macc.912.a–rei.4.12>

Greg made 4 chairs and 3 tables. Greg singly has abundance plywood to establish at most 15 chairs or tables completion. Let x reproduce-exhibit the compute of past chairs and y reproduce-exhibit the compute of past tables that Greg can establish. Which of the aftercited graphs best reproduce-exhibits the analogy among x and y?

Question 20 

(05.02)<object:standard:macc.912.a–rei.3.6>

For the aftercited order, if you sickly x in the pristine equation to use the Substitution Method, what countenance would you replace into the succor equation?

-x - 2y = -4

3x + y = 12

 -2y - 4 2y - 4 2y + 4 -2y + 4

Question 21

(05.05)<object:standard:macc.912.a–rei.4.12>

Sally has singly nickels and dimes in her currency box. She knows that she has short than $20 in the box. Let x reproduce-exhibit the compute of nickels in the box and y reproduce-exhibit the compute of dimes in the box. Which of the aftercited propositions best describes the steps to graph the breach to the inadequacy in x and y?

 Draw a dashed continuity to reproduce-exhibit the graph of 5x + 10y = 2000, and darken the piece overhead the continuity for confident rates of x and y. Draw a dashed continuity to reproduce-exhibit the graph of 10x + 5y = 2000, and darken the piece overhead the continuity for confident rates of x and y. Draw a dashed continuity to reproduce-exhibit the graph of 5x + 10y = 2000, and darken the piece under the continuity for confident rates of x and y. Draw a dashed continuity to reproduce-exhibit the graph of 10x – 5y = 2000, and darken the piece under the continuity for confident rates of x and y.

Question 22 

(05.03)<object:standard:macc.912.a–rei.4.10>

Which of the aftercited propositions best describes the graph of –5x + 2y = 1?

 It is a deflexion alliance the apexs (–5, 2), (2, 3), and (4, 1). It is a deflexion alliance the apexs (–1, –3), (–1, –3), and (1, 5). It is a rectirectilinear continuity alliance the apexs (1, 3), (3, 8), and (–3, –7). It is a rectirectilinear continuity alliance the apexs (4, –3), (–1, 2), and (–4, 5).

Question 23 

(05.01)<object:standard:macc.912.a–rei.3.6>

A span of direct equations is likenessn under:

y = –x + 1

y = 2x + 4

Which of the aftercited propositions best explains the steps to clear-up the span of equations graphically?

 On a graph, concoct the continuity y = –x + 1, which has y-intercept = –1 and swell = 1, and y = 2x + 4, which has y-intercept = 2 and swell = 4, and transcribe the coordinates of the apex of interpenetrateion of the two continuitys as the breach. On a graph, concoct the continuity y = –x + 1, which has y-intercept = 1 and swell = 1, and y = 2x + 4, which has y-intercept = 1 and swell = 4, and transcribe the coordinates of the apex of interpenetrateion of the two continuitys as the breach. On a graph, concoct the continuity y = –x + 1, which has y-intercept = 1 and swell = –1, and y = 2x + 4, which has y-intercept = –2 and swell = 2, and transcribe the coordinates of the apex of interpenetrateion of the two continuitys as the breach. On a graph, concoct the continuity y = –x + 1, which has y-intercept = 1 and swell = –1, and y = 2x + 4, which has y-intercept = 4 and swell = 2, and transcribe the coordinates of the apex of interpenetrateion of the two continuitys as the breach.


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