ALEKS Linear Equations and Inequalities

Question 1

What is the solution to 2x + 5 = 13?

Accepted Answer

x = 4

Answer

Subtracting 5 from both sides gives 2x = 8, and dividing by 2 gives x = 4.

Question 2

Solve for x: 3x − 7 = 2x + 5

Accepted Answer

x = 12

Answer

Subtracting 2x from both sides gives x − 7 = 5, and adding 7 to both sides gives x = 12.

Question 3

Which value satisfies −4x + 8 = 0?

Accepted Answer

x = 2

Answer

Adding 4x to both sides gives 8 = 4x, and dividing both sides by 4 gives x = 2.

Question 4

What is the slope of the line y = 3x − 5?

Accepted Answer

3

Answer

In slope-intercept form y = mx + b, the coefficient of x is the slope, so m = 3.

Question 5

Solve: x/4 + 3 = 7

Accepted Answer

x = 16

Answer

Subtracting 3 from both sides gives x/4 = 4, and multiplying both sides by 4 gives x = 16.

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test