THEA THEA Algebra & Problem Solving

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

x = 5

Answer

Subtracting 7 from both sides gives 3x = 15, then dividing by 3 gives x = 5.

Question 2

Which of the following is equivalent to 4(x - 3) + 2x?

Accepted Answer

6x - 12

Answer

Distributing gives 4x - 12 + 2x, then combining like terms gives 6x - 12.

Question 3

If f(x) = 2x² - 3, what is f(4)?

Accepted Answer

29

Answer

Substituting x = 4: f(4) = 2(16) - 3 = 32 - 3 = 29.

Question 4

What is the slope of the line passing through the points (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 5

Solve the inequality: 2x - 5 > 9

Accepted Answer

x > 7

Answer

Adding 5 to both sides: 2x > 14, then dividing by 2: x > 7.

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