Algebra I Fundamentals A v.21 - LINEAR SYSTEMS ALTERNATE TEST

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In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie. $4.50 $2.50 $3.50

$2.50

2x - y = 2s2x - 2y = 4s The lines whose equations are shown intersect at which point? (0, -2s) (-2s, 0) (4s, 2s)

(0, -2s)

x + y = 3kx - y = kThe solution of the system shown is _____. (2k, k) (2k, 0) (0, 2k)

(2k, k)

Solve the system algebraically.y = 3 - 1/2x 3x + 4y = 1What is the value of x? -11 17/2 11

-11

Find the system determinant of the given matrix. https://dw6y82u65ww8h.cloudfront.net/organisations/328/46f13dc2-f653-41c5-bec6-a9c1ceae2ded/272edit.gif 6 -30 30 -6

-30

x + 2y = 5 x - 3y = 7W hat is the value of the system determinant? 5 1 -5

-5

x + 2y = 5x - 3y = 7What is the second row of entries for the system determinant? 1, -3 2, -3 5, 7

1, -3

x + 2y = 5 x - 3y = 7 What is the value of the y-determinant? -1 2 -2

2

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. If b = the rate of the boat in still water and c = the rate of the current, which of the following equations represents the trip downstream? 4(b + c) = 120 3(b - c) = 120 3(b + c) = 120

3(b + c) = 120

One number is 9 more than twice another. If their difference is 22, what is the larger number? 13 31 35

35

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the boat in still water? 32 mph 35 mph 30 mph

35 mph

Which of the following equations is equivalent to x - y = 6? 4x - 3y = 36 2x - y = 36 2x - y = 6

4x - 3y = 36

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to . If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem? 3n = 5d and 2n - 4 = d - 2 5n = 3d and n - 2 = 2d - 4 5n = 3d and 2n - 4 = d - 2

5n = 3d and 2n - 4 = d - 2

2x + y = 3x - 2y = -1If equation two is multiplied by -2 and then the equations are added, the result is _____. 3y = 5 5y = 5 -3y = 3

5y = 5

The systems shown have the same solution set. https://dw6y82u65ww8h.cloudfront.net/organisations/328/38770706-1c6d-4fdd-a8c0-0ff7d8097974/M90920C.gif https://dw6y82u65ww8h.cloudfront.net/organisations/328/7ae6d1da-9a9a-4672-bd6f-f29d6b1dc97a/M90921A.gif True False

False

Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed. y > x y < -x

https://cdn.lti.glynlyon.com/media/f75787c6-1d11-47eb-b7a8-94ce61e2fc36/img/m90917b.gif

Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed. x + 3 ≤ 0 x - 2 ≥ 0

https://cdn.lti.glynlyon.com/media/f75787c6-1d11-47eb-b7a8-94ce61e2fc36/img/m90918d.gif

For the following pair of lines, identify the system by type. https://dw6y82u65ww8h.cloudfront.net/organisations/328/38770706-1c6d-4fdd-a8c0-0ff7d8097974/M90920A.gif equivalent consistent inconsistent

inconsistent

For the following pair of lines, identify the system by type. https://dw6y82u65ww8h.cloudfront.net/organisations/328/7ae6d1da-9a9a-4672-bd6f-f29d6b1dc97a/M90921A.gif consistent equivalent inconsistent

inconsistent

Solve the system algebraically. Check your work. 4x+2y=10 3x+2y=6 Make sure there are NO SPACES in your answer. Be sure to include a comma.ANSWER: {( )}

{(4, -3 )}

Given the system of equations, what is the solution?x + 2y = 11x - 2y = -1 {(-5, -3)} {(5, 3)} {(1, 1)}

{(5, 3)}

Given the system of equations, what is the solution?5x - 4y = 7x = 5 - y {(61/23, 36/23)} {(61/23, -36/23)} {(-61/23, 36/23)}

{(61/23, 36/23)}


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