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Mathematics, 11.10.2019 02:00 maddysmom

1. henry's current age is 10 times justin's current age. in 6 years, henry's age will be 4 times justin's age. which system of equations can be used to calculate h, henry's current age and j, justin's current age?
a: j=10h
j+6=4 [h+6]
b: j+6=h
j+4=h+10
c: h=10j
h+6=4 [j+6]
d: h=10j
h+4=6 [j+4]

2. kevin plotted a linear equation on a graph with 18 as the y-intercept. which of the following could be the equation plotted by kevin?
a: 3x=6-1/3y
b: 7x+2y=38
c: 4y+18y=21
d: 1/2y=9x+5

3. janie was given [-2,3] as the end point of a line segment and [1,0] as it's midpoint. which ordered pair should janie choose as the other endpoint?
a: [ -1/2, 3/2}
b: [ 1/2, 1/2]
c: [ - 5, 6 ] so this one and the following are not negatives, the line is at the top of the 5 not above it but next to it, higher than the actual 5.
d: [ 4, -3 ] this is the same situation, the line isn't a negative and isn't directly above the 3 but it is higher than the 3 and is to the left of it.

4. mrs. matthews drew a hexagon with a perimeter of 60 centimeters on a sheet of paper. she used the photocopier in her office to make copies of the drawing. the length of each side of the hexagons on the photocopies is 1 1/2 times the length of each side of the hexagon on the drawing. what is the perimeter in centimeters of each hexagon on the photocopies?
a: 40
b: 90
c: 69
d: 150

5. jim used 3 logs to mark the perimeter of his triangular flower bed. one side of the flower bed is 6 feet long and another side is 9 feet long. which could be the length in feet of the third side?
a: 2
b: 3
c: 13
d: 15

6. what is the distance between [ 45, 76 ] and [ 76, 76 ] along the x-axis on a coordinate grid?
a: 76
b: 31
c: 121
d: 0

7. which set of data should be graphed using a scatter plot instead of a line graph?
a: the height of a child from birth to age 12.
b: the cans of drinks sold each day in the snack bar.
c: the depth of the water in a lake over 2 months.
d: the temperature of a cup of coffee over an hour.

8. if the point [ 5, k ] lies on the line represented by the equation 2x+y=9, the value of k is:
a: 1
b: -1
c: 2
d: -2

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