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