TCAP Mathematics

Question 1

What is the value of x in the equation 3x + 7 = 22?

Accepted Answer

5

Answer

Subtract 7 from both sides: 3x = 15. Then divide both sides by 3: x = 5. Verification: 3(5) + 7 = 15 + 7 = 22.

Question 2

What is the area of a triangle with a base of 10 cm and a height of 6 cm?

Accepted Answer

30 sq cm

Answer

The area of a triangle is calculated using A = ½ × base × height = ½ × 10 × 6 = 30 square centimeters.

Question 3

Which property states that a + b = b + a?

Accepted Answer

Commutative property of addition

Answer

The commutative property of addition states that changing the order of addends does not change the sum. Similarly, it applies to multiplication.

Question 4

What is the mean (average) of the data set: 4, 8, 12, 16, 20?

Accepted Answer

12

Answer

The mean is found by adding all values (4 + 8 + 12 + 16 + 20 = 60) and dividing by the count (60 ÷ 5 = 12).

Question 5

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

Accepted Answer

2

Answer

Slope = (y₂ - y₁)/(x₂ - x₁) = (11 - 3)/(6 - 2) = 8/4 = 2. The line rises 2 units for every 1 unit of horizontal movement.

(TCAP) Tennessee Comprehensive Assessment Program Practice Test