Function Equations and Real World Graphs

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.

Which system of equations can be used to find the number of 7-inch plates, x , and the number of 12-inch plates, y , that are in the cabinet?

• x + y = 140

  12 x + 7 y = 15

• 7 x + 12 y = 140

  7 x + 12 y = 15

• x + y = 15

  7 x + 12 y = 140

• x + y = 15

  12 x + 7 y = 140

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g ?

• g ( x ) = f ( x ) − 4

• 
• g ( x ) = f ( x ) − 2

• g ( x ) = 3 f ( x )

What is the solution to 34 x + 95 = 3(14 x + 9)?

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year.

Which function models the total number of metric tons of copper produced in the year that is x years since 1900?

• 
• 
• 
• 

What are the equation and slope of the line shown on the grid?

• y = 6; slope is -1/6

• x = 6; slope is zero.

• y = 6; slope is 6.

• x = 6; slope is undefined.

What is the solution set for −4 x + 10 ≥ 5 x + 55?

• x ≥ 5

• x ≥ 45

• x ≤ −5

• x ≤ −45

Which graph best represents a quadratic function that has only one zero?

• 
• 
• 
• 

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10

• n - $5.12 = $27.10

• n - $5.12 = -$27.10

• $5.12 - n = $27.10

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

Solve for x:
6(2x + 1) = 18

• 3

• 17/12

• 1

• 2