NCDAP Elementary Algebra 5

Question 1

What is the value of x if 4x + 3 = 2x + 11?

Accepted Answer

4

Answer

Subtracting 2x and 3 from both sides gives 2x = 8, so x = 4.

Question 2

A store sells notebooks for $3 each. Maria has $20 and spends d dollars on other items. Which inequality shows how many notebooks n she can buy?

Accepted Answer

3n ≤ 20 - d

Answer

Maria has 20 - d left after other purchases, so 3n ≤ 20 - d.

Question 3

What is the GCF of 12x³ and 18x²?

Accepted Answer

6x²

Answer

GCF of 12 and 18 is 6; GCF of x³ and x² is x²; so GCF = 6x².

Question 4

If the ratio of boys to girls in a class is 3:4 and there are 21 boys, how many girls are there?

Accepted Answer

28

Answer

Setting up 3/4 = 21/g gives g = 28.

Question 5

Which equation represents a line parallel to y = 3x - 5?

Accepted Answer

y = 3x + 7

Answer

Parallel lines have the same slope; y = 3x + 7 has slope 3, matching the given line.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test