60-algebra-2-quest-ons-Solve-3x-y-2z-6

QUESTION 1

1. Solve 3x – y + 2z = 6
   -x + y = 2
   x – 2z = –5
   

   		(-1, -3, -3)
   		(1, 3, 3)
   		(1, -3, -3)
   		(1, 3, -3)

2 points

QUESTION 2

1. Solve 2x + y + z = 5
   4x – 2y – z = 0
   3x – y + 2z = 6
   

   		(1, 1, 2)
   		(-1, -1, -2)
   		(5, 0, 6)
   		(1, 1, -2)

2 points

QUESTION 3

1. Solve 5x + 2y – 3z = 4
   -2x – 4y + z = -8
   x + y + z = 2
   

   		(2, 0, 0)
   		(0, 2, 0)
   		(2, -2, 0)
   		(0, -6, 9)

2 points

QUESTION 4

1. Solve 4x + y + z = 1
   8x – 4y – 7z = 2
   –5y – 9z = –33
   

   		(3, -33, 22)
   		(1, 2, 3)
   		(-3, 0.5, 2)
   		(0.5, 3, 2)

2 points

QUESTION 5

1. Solve 2x + y – z = 3
   4x – y + 4z = 0
   -3y + 2z = 6
   

   		(2, -4, -3)
   		(-2, 4, 3)
   		(4, 2, -7)
   		(-4, -2, 7)

2 points

QUESTION 6

1. Solve 4x + y – 2z = 0
   2x – 3y + 3z = 9
   -6x – 2y + z = 0
   

   		(0, 9, 0)
   		(0, -9, 0)

2 points

QUESTION 7

1. Solve x + 3y + 4z = 0
   x – 2z = 8
   y + z = 3
   

2 points

QUESTION 8

1. Twice the first number is eleven more than the sum of the other two numbers. The sum of twice the first number and three times the third number is one more than the second number. The second number is equal to the sum of the first number and the third number. Find the three numbers.
   

   		1st number = -6, 2nd number = 3.5, 3rd number = 2.5
   		1st number = 8, 2nd number = 4, 3rd number = 1
   		1st number = -8, 2nd number = -4, 3rd number = -1
   		1st number = 6, 2nd number = 3.5, 3rd number = -2.5

2 points

QUESTION 9

1. The sum of the length, width, and height of a rectangular box is 16 cm, the width is twice the height, and twice the length exceeds the sum of the width and height by 5. Find the length, width, and height of the box.
   

   		Length = 10 cm, Width = 4 cm, Height = 2 cm
   		Length = 7 cm, Width = 6 cm, Height = 3 cm
   		Length = 7 cm, Width = 3 cm, Height = 6 cm
   		Length = 10 cm, Width = 2 cm, Height = 4 cm

2 points

QUESTION 10

1. In a certain triangle, the angle of the greatest measure measures 75 degrees more than the angle of the least measure. If one-third the sum of the degree measures of the smallest and the largest angles is equal to the degree measure of the remaining angle, what is the degree measure of each angle of the triangle?
   

   		Largest angle = 105, Middle angle = 45, Smallest angle = 30
   		Largest angle = 100, Middle angle = 50, Smallest angle = 30
   		Largest angle = 115, Middle angle = 45, Smallest angle = 40
   		Largest angle = 120, Middle angle = 45, Smallest angle = 15

2 points

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QUESTION 1

1. If a parallelogram is a rhombus then the diagonals are congruent.
   

   		True
   		False

2 points

QUESTION 2

1. ABCD is a parallelogram. What is true about and

   		||

2 points

QUESTION 3

1. What property is true for a rectangle, a square and a rhombus?
   

   		All four angles are right angles
   		All four sides are congruent
   		Consecutive angles are supplementary
   		The diagonals are perpendicular

2 points

QUESTION 4

1. In a rectangle, the opposite sides are congruent.
   

   		True
   		False

2 points

QUESTION 5

1. The opposite sides of a parallelogram are _________.
   

   		adjacent
   		congruent
   		collinear
   		perpendicular

2 points

QUESTION 6

1. The following is a rhombus, therefore
   

   		True
   		False

2 points

QUESTION 7

1. If a parallelogram is a rectangle then the diagonals are congruent.
   

   		True
   		False

2 points

QUESTION 8

1. Figure ABCD is a square. Angle B measures . Find the value of x.
   

   		8
   		4
   		10
   		Not enough information

2 points

QUESTION 9

1. YWXZ is a rhombus with diagonals that intersect at point S. Side WX measures 4a + 12. Side XZ measures 6a. Find the value of a.
   

   		Not enough information is given.
   		16.8
   		-6
   		6

2 points

QUESTION 10

1. KLMN is a kite. If angle MLK measures Angle MNK measures Find the value of x.
   

   		1.6
   		10.3
   		3.2
   		10

2 points

QUESTION 11

1. QRST is a parallelogram. Find x and y.
   

   		x = -1, y = -3
   		x = 1, y = 3
   		x = -1, y = 2
   		x = 2, y = 3

2 points

QUESTION 12

1. Figure ABCD is a square. Side AB measures 10x – 7. Side BC measures 2x + 52. Find the value of x.
   

   		5.625
   		7.375
   		4.917
   		3.75

2 points

QUESTION 13

1. Figure ABCD is a kite with diagonals which cross at point P. The angle APB measures . Find the value of x.
   

   		7.6
   		10.4
   		66
   		Not enough information

2 points

QUESTION 14

1. Triangle ABC is congruent to triangle DFE. Find x.
   

   		23
   		16
   		49.5
   		51

2 points

QUESTION 15

1. Triangle ABC is congruent to triangle XYZ. Angle A measures , angle B measures and angle X measures . Find the value of x.
   

   		20.5
   		13.67
   		16
   		10.5

2 points

QUESTION 16

1. Triangle RSV is congruent to triangle TVS. Find x.
   

   		23.5
   		20
   		18.5
   		21.5

2 points

QUESTION 17

1. Triangle DEF is congruent to triangle GHI. Side DE measures 52. Side GH measures 10x – 13. Side HI measures 12x – 16. Find the value of x.
   

   		7.14
   		1.5
   		5.67
   		6.5

2 points

QUESTION 18

1. Triangle DEF is congruent to triangle GHI. Side EF measures 52. Side GH measures 10x – 13. Side HI measures 12x – 16. Find the value of x.
   

   		7.14
   		1.5
   		5.67
   		6.5

2 points

QUESTION 19

1. Triangle PQR is congruent to triangle STU. Side PQ measures 3x + 15. Side QR measures 5x – 5. Side TU measures 60. Find the value of x.
   

   		15
   		13
   		13.75
   		10

2 points

QUESTION 20

1. Triangles QVS and RTS are similar. Find side VS.
   

   		70
   		60
   		50
   		40

2 points

QUESTION 21

1. Triangle DEF is similar to triangle PQR. Side DE measures 3, side EF measures 7 and side FD measures 9. Side PQ measures 5x – 25 and side RP measures 10x – 5. Find the value of x.
   

   		11
   		12
   		3
   		14

2 points

QUESTION 22

1. Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side YZ measures 5x – 5. Find the value of x.
   

   		6.33
   		7.2
   		5
   		8

2 points

QUESTION 23

1. Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x.
   

   		6.33
   		7.2
   		5
   		8

2 points

QUESTION 24

1. Triangles QVS and RTS are similar. Find side VS.
   

   		72.8
   		54.8
   		78.2
   		88.7

2 points

QUESTION 25

1. Triangles MOP and MNQ are similar. Find x.
   

   		6.25
   		7
   		5.5
   		6.75

2 points

QUESTION 26

1. Find x.
   

   		12
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