EDPT Algebraic Concepts and Equations 2

Question 1

If 3x - 7 = 2x + 5, what is the value of x?

Accepted Answer

12

Answer

Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

Question 2

Which expression is equivalent to 4(2x - 3) + 8?

Accepted Answer

8x - 4

Answer

Distribute 4 to get 8x - 12, then add 8 to get 8x - 4.

Question 3

What is the slope of the line passing through (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.

Question 4

Solve for y: 2y/3 = 10

Accepted Answer

y = 15

Answer

Multiply both sides by 3/2 to isolate y: y = 10 × (3/2) = 15.

Question 5

If f(x) = x² - 4x + 4, what is f(3)?

Accepted Answer

1

Answer

f(3) = 9 - 12 + 4 = 1.

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