BSEP Algebraic Concepts 5

Question 1

Which expression represents 'five less than three times a number k'?

Accepted Answer

3k - 5

Answer

'Three times a number k' is 3k, and 'five less than' that means subtract 5, giving 3k - 5.

Question 2

If the equation 6x + c = 18 has the solution x = 2, what is the value of c?

Accepted Answer

6

Answer

Substitute x = 2: 6(2) + c = 18 → 12 + c = 18 → c = 6.

Question 3

What is the result of subtracting (3x - 4) from (7x + 2)?

Accepted Answer

4x + 6

Answer

(7x + 2) - (3x - 4) = 7x + 2 - 3x + 4 = 4x + 6.

Question 4

A number is multiplied by 3, then 7 is added, giving a result of 28. What is the number?

Accepted Answer

7

Answer

Let n be the number: 3n + 7 = 28 → 3n = 21 → n = 7.

Question 5

On a number line, the solution set of -2 ≤ x < 4 includes which values?

Accepted Answer

-2 and all values up to but not including 4

Answer

The symbol ≤ means -2 is included, and < means 4 is not included, so x ranges from -2 up to (but not including) 4.

BSEP - Basic Skills Education Program Practice Test