Unit Test — Unit test Answers

25 verified answers2 views
21
Free Preview

A student solves the following equation for all possible values of x: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 + 2Step 4: 3x = 18Step 5: x = 6He 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?

Question illustration
A
His solution for x is correct and his explanation of the extraneous solution is reasonable.
B
His solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x.
C
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.
D
His solution for x is incorrect. When solved correctly, there are no extraneous solutions.
22
Free Preview

Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over 2 Superscript 15 Baseline EndFraction
Option A
B
StartFraction 1 Over 2 Superscript 8 Baseline EndFraction
Option B
C
28
D
215
23

What is the quotient of ?

Question illustration
A
StartFraction x Superscript 9 Baseline Over 32 EndFraction
Option A
B
4x9
C
Negative StartFraction 12 Over x squared EndFraction
Option C
D
–2x9
24

What is the quotient?

Question illustration
A
Two-thirds
Option A
B
Three-halves
Option B
C
StartFraction (n + 3) squared Over 6 (n minus 3) squared EndFraction
Option C
D
StartFraction 6 (n minus 3) squared Over (n + 3) squared EndFraction
Option D
25

Anja simplified the expression to . What mistake did Anja make?

Question illustration
A
She divided the exponents instead of subtracting them.
B
She divided the coefficients instead of subtracting them.
C
She subtracted the coefficients instead of dividing them.
D
She subtracted the exponents instead of dividing them.

Did you find these answers helpful?