BECE Algebraic Expressions and Equations 2

Question 1

Simplify the expression 3(2x + 4) − 2(x − 1).

Accepted Answer

4x + 14

Answer

Distribute: 6x + 12 − 2x + 2 = 4x + 14.

Question 2

If 5y − 3 = 2y + 9, what is the value of y?

Accepted Answer

4

Answer

5y − 2y = 9 + 3, so 3y = 12, giving y = 4.

Question 3

Which of the following is a binomial?

Accepted Answer

3x + 7

Answer

A binomial has exactly two terms; 3x + 7 has two terms.

Question 4

Evaluate 2a² − 3b when a = 3 and b = 2.

Accepted Answer

12

Answer

2(3²) − 3(2) = 2(9) − 6 = 18 − 6 = 12.

Question 5

The product of 4x and (x − 3) is:

Accepted Answer

4x² − 12x

Answer

4x × x = 4x² and 4x × (−3) = −12x, giving 4x² − 12x.

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