ALEKS Linear Equations and Inequalities 3

Question 1

Two distinct lines are parallel if they have:

Accepted Answer

The same slope

Answer

Parallel lines never intersect and always have equal slopes but different y-intercepts.

Question 2

Solve: (x + 3)/2 = 5

Accepted Answer

x = 7

Answer

Multiplying both sides by 2 gives x + 3 = 10, and subtracting 3 gives x = 7.

Question 3

Find x: 4x + 2 = 2x + 10

Accepted Answer

x = 4

Answer

Subtracting 2x from both sides gives 2x + 2 = 10, then 2x = 8, so x = 4.

Question 4

Solve: −2(x + 3) + 4 = −6

Accepted Answer

x = 2

Answer

Distributing gives −2x − 6 + 4 = −6, simplifying to −2x − 2 = −6, then −2x = −4, so x = 2.

Question 5

What is the solution set of |x| = 5?

Accepted Answer

{5, −5}

Answer

The absolute value equation |x| = 5 is satisfied by both x = 5 and x = −5, since |5| = |−5| = 5.

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test