BSEP Algebraic Concepts 2

Question 1

What is the value of x in the equation 3x - 9 = 12?

Accepted Answer

9

Answer

Add 9 to both sides to get 3x = 21, then divide by 3 to get x = 7.

Question 2

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

Accepted Answer

8x + 12

Answer

Distribute 4 to each term inside the parentheses: 4·2x = 8x and 4·3 = 12.

Question 3

If y = 2x + 5, what is y when x = -3?

Accepted Answer

-1

Answer

Substitute x = -3: y = 2(-3) + 5 = -6 + 5 = -1.

Question 4

Solve for n: 5n + 4 = 2n + 19

Accepted Answer

5

Answer

Subtract 2n from both sides: 3n + 4 = 19, then subtract 4: 3n = 15, so n = 5.

Question 5

What is the slope of the line described by y = -4x + 7?

Accepted Answer

-4

Answer

In slope-intercept form y = mx + b, the slope m is the coefficient of x, which is -4.

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