Rational Equations
Where is the removable discontinuity of f(x)=(x+5)/(x2+3x-10) located?
A
Which of the following represents the solution of (3/2)=(3/2x)-(6/5x)
A
Without solving, which values for g could be extraneous for the equation below? (3/2g+8)=(3/4)
A
Working alone, it would take Shandra 45 minutes to mow the lawn. To mow the same lawn, also working alone, it would take Kelly 1 hour and 15 minutes. If they work together, the girls believe it will take them 1 hour to mow the lawn. Which best describes the reasonableness of their solution?
A
The graph of the function f(x)=(10/x+2) is shown below.
B
What are the removable discontinuities of the following function? f(x)=(x^2-36)/x^3-36x)
B
What causes a solution to a rational equation to be an extraneous solution?
B
Which statement is true about the discontinuities of the function f(x)? f(x)=(x-5)/(3x^2-17x-28)
B
For the inverse variation equation p=8/V, what is the value of V when p = 4?
C
The graph below shows the function f(x)=(5x+10)/(x^2+7+10)
C
The speed, s, of the current in a certain whirlpool is modeled bys=(300/d), where d is the distance from the center of the whirlpool. Which statement is true?
C
What is the solution for the equation (5/3b^3)-(2b^2-5)=(2/b^3-2)
C
For the inverse variation equation xy = k, what is the constant of variation, k, when x = -3 and y = -2?
D
For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?
D
Given x varies inversely with y and xy = 2, what is the value of x when y = 1?
D
The graph of the function f(x)=6/(x-3) is shown below.
D
What is the solution to the equation (-3d/d^2-2d-8)+(3/d-4)=(-2/d+2)
D
For the inverse variation equation p=(8/V), what is the value of V when p =1/2?
NOT A
What are the solutions to the equation (W/2W-3)=(4/W)
NOT A
What are the solutions to the equation (X)-(7/X)=(6)
NOT A
What is the solution to the equation (1/H-5)+(2/H+5)=(16/H^2-25)
NOT A
A student solves the following equation for all possible values of x: (8/X+2)=(2/X-4) His solution is as follows: Step 1: 8(x - 4) = 2(x + 2) Step 2: 4(x - 4) = (x + 2) Step 3: 4x - 16 = x + 2 Step 4: 3x = 18 Step 5: x = 6 He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. Which best describes the reasonableness of the student's solution?
NOT A NOT B
Given x varies inversely with y and xy = 2, what is the value of x when y = 1?
NOT A NOT B
Without solving, which values for x could be extraneous for the equation below? (x+3/x-1)+(x-2/x)=5
NOT B NOT A
Kent multiplies both sides of the equation below by an expression. k+(12/k)=8
NOT C
What is the solution of (-8/2y-8)=(5/y+4)-(7y+8/y^2-16)
NOT C NOT B
Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer than Juan, who picks up litter for 2 miles. If it took Juan x hours, how long did it take Yumi?
NOT C NOT B
Janet wants to solve the equation y+(y^2-5/y^2-1)=(y^2+y+2/y+1) What should she multiply both sides of the equation by?
NOT D NOT C
The graph of the function f(x)=(3)/(x+5) is shown below.
A
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y=(3*10^8)/(x)
A
What is true about the solution of (X^2/2X-6)=(9/6X-18)
A
Where are the asymptotes for the following function located? f(x)=(14)/((x-5(x+1))
A
Where is the hole for the following function located? f(x)=(x+3)/((x-4)(x+3))
A
