ALEKS Algebra Fundamentals

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

x = 5

Answer

Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.

Question 2

Simplify: 4x + 3y - 2x + y

Accepted Answer

2x + 4y

Answer

Combine like terms: (4x - 2x) + (3y + y) = 2x + 4y.

Question 3

What is the slope of the line passing through (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (11 - 3)/(6 - 2) = 8/4 = 2.

Question 4

Which equation represents a line with slope -3 and y-intercept 5?

Accepted Answer

y = -3x + 5

Answer

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Question 5

Factor completely: x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

x² - 9 is a difference of squares: a² - b² = (a + b)(a - b), so x² - 9 = (x + 3)(x - 3).

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test