NCDAP Elementary Algebra 2

Question 1

If 3x - 7 = 14, what is the value of x?

Accepted Answer

7

Answer

Adding 7 to both sides gives 3x = 21, then dividing by 3 gives x = 7.

Question 2

Which expression is equivalent to 4(2x - 3) + 5?

Accepted Answer

8x - 7

Answer

Distributing gives 8x - 12, then adding 5 gives 8x - 7.

Question 3

A number increased by 12 equals 31. What is the number?

Accepted Answer

19

Answer

Setting up n + 12 = 31 and subtracting 12 from both sides gives n = 19.

Question 4

What is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 5

Simplify: 5x² - 3x + 2x² + 7x

Accepted Answer

7x² + 4x

Answer

Combining like terms: (5x² + 2x²) + (-3x + 7x) = 7x² + 4x.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test