Reporting category 3

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than

twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the

guitarist wrote g songs?

• g=2d -8

  g + d = 46

• g=8 - 2d

  g = 46 - d

• d=2g - 8

  d = 46 - g

• d=8 - 2g

  d + g = 46

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.

What is the range of the function for this situation?

• {0,1,2,3,4,5,6}

• {4, 24, 44, 64, 84, 104, 124}

• {0,2,4,6}

• {4, 44, 84, 124}

What is the solution to 8x-3(2x-4)=3(x - 6)?

• 6

• 2

• 30

• no solution

A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths. On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles. On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles. What is the length of the Green Route in miles?

• 4.4

• 4.5

• 6.4

• 6.8

What is the equation in slope-intercept form of the line that passes through the points (- 4, 47) and (2, - 16)?

• 
• 
• 
• 

A student is ordering a flower arrangement. She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30. If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations?

• 3x+2y<30

• 3x+2y≤30

• 2x+3y>30

• 2x+3y≤30

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

• 4

• 17.5

• 13

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06 m per day. Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

• t(x) = 450 - 0.06x

• t(x) = 0.06(x + 450)

• t(x) = 450 + 0.06x

• t(x) = 0.06(x + 450)

What is the equation of the line that passes through the point (2, 7) and has a slope of zero?

• x = 7

• y = -2

• x =-2

• y = 7

Which value of x makes the equation

0.75(x + 20) = 2 + 0.5(x- 2) true?

• 64

• -64

• 56

• -56