ALEKS Linear Equations and Inequalities 2

Question 1

Solve for y: 2y + 6 = 18

Accepted Answer

y = 6

Answer

Subtracting 6 from both sides gives 2y = 12, and dividing by 2 gives y = 6.

Question 2

What is the y-intercept of the line y = −2x + 4?

Accepted Answer

4

Answer

In slope-intercept form y = mx + b, the y-intercept is the constant b = 4.

Question 3

Solve: 3(x − 2) = 12

Accepted Answer

x = 6

Answer

Distributing gives 3x − 6 = 12, then adding 6 yields 3x = 18, so x = 6.

Question 4

Which value is a solution to 2x − 3 > 7?

Accepted Answer

x = 6

Answer

Adding 3 gives 2x > 10, so x > 5; only x = 6 satisfies this condition.

Question 5

What is the x-intercept of y = 2x − 8?

Accepted Answer

(4, 0)

Answer

Setting y = 0 gives 2x = 8, so x = 4, making the x-intercept the point (4, 0).

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test