question

Which solution to the equation 1/x-1=x-2/2x2-2 is extraneous

answer

x=1

question

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?

answer

Their estimate is longer than the time it will actually take: 1/0.75+1/1.25=1/time to complete together

question

What is the solution to the equation 1/h-5+2/h+5=16/h2-25

answer

h=7

question

What are the solutions to the equation w/2w-3=4/w

answer

w = 2 and w = 6

question

What is the solution to the equation -3d/d2-2d-8+3/d-4=-2/d+2

answer

d=1

question

Kent multiplies both sides of the equation below by an expression, Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

answer

k2-8k+12=0

question

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?

answer

6hrs

question

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?

answer

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

question

What causes a solution to a rational equation to be an extraneous solution?

answer

If a solution results in zero when substituted into the denominator of the equation, the solution is extraneous.

question

What are the solutions to the equation x-7/x=6

answer

x = -1 and x = 7