Sum Equations

x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

• x = 2
  y = -1
  z = 3

• x= -5
  y = 3
  z = 1

• x = 10
  y = -2
  z = 0

• x= 4
  y = 1
  z = -1

What is the value of the Riemann sum?

• 8

• 10

• 11

• 12

Based on the table, use a left Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.) 

• 5(3) + 1(4) + 2(5) + 1(7)

• 5(4) + 1(5) + 2(7) + 1(6)

• 5(3) + 6(4) + 8(5) + 9(7)

• 0(3) + 5(4) + 6(5) + 8(7)

Find the right-hand Riemann Sum, with three sub-intervals indicated by the table.

• 28

• 16

• 34

• 21

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

Use a midpoint Riemann Sum to approximate the area between 0 to 3 with 3 subintervals.

• 14

• 7

• 26

• 11

Given the graph of f(x), Which of the following has the greatest value?

• Left Sum

• Right Sum

• Midpoint Sum

• Trapezoid Sum

Solve for x

• 28

• 12

• 10

• 2