# TABE 11&12 Math Practice Test 2024 Level D

Prepare for the TABE 11 & 12 Math Practice Test 2024 Level D with our example questions and answers. These practice tests are designed to help you get familiar with the format and types of questions you will encounter on the actual test.

Strengthen your math skills by practicing problems that include fractions, decimals, percentages, algebra, and geometry. Each question is accompanied by a detailed explanation of the correct answer to ensure you understand the concepts and improve your test-taking abilities.

## TABE 11&12 Math Practice Test 2024 Level D

Question 1: Which expression is equivalent to (x^2y)^3 \cdot x^3 ?

(A) x^5y^3 (B) x^6y^3 (C) x^9y^3 (D) x^{18}y^3

Explanation: (x^2y)^3 = x^{6}y^3 and x^6 \cdot x^3 = x^{6+3} = x^9y^3 .

Question 2: Solve for the total volume of a cylinder with a diameter of 10 cm and height of 20 cm. (Use \pi \approx 3.14 )

(A) 1,570 cubic centimeters
(B) 3,140 cubic centimeters
(C) 6,280 cubic centimeters
(D) 12,560 cubic centimeters

Explanation: Volume = \pi r^2 h , where r = 5 cm, h = 20 cm. \pi (5^2)(20) = 3.14 \cdot 25 \cdot 20 = 1,570 cubic centimeters.

Question 3: What is the slope of the line represented by the equation 2x + 3y = 6 ?

(A) -2
(B) -2/3
(C) 2/3
(D) 3/2

Explanation: Rewrite in slope-intercept form: y = -\frac{2}{3}x + 2 , where the slope is -\frac{2}{3} .

Question 4: If f(x) = 4x - 7 , find f(3) .

(A) 3
(B) 5
(C) 7
(D) 9

Explanation: f(3) = 4(3) - 7 = 12 - 7 = 5 .

Question 5: Simplify \frac{2x^3y}{4xy^2} .

(A) \frac{x^2}{2y} (B) \frac{x^2}{2} (C) x^2y (D) \frac{x^2}{y}

Explanation: \frac{2x^3y}{4xy^2} = \frac{x^2}{2y} .

Question 6: What is the value of 2^{3} \cdot 2^{4} ?

(A) 2^7 (B) 2^{12} (C) 14 (D) 16

Explanation: 2^3 \cdot 2^4 = 2^{3+4} = 2^7 .

Question 7: If a + b = 10 and a - b = 2 , what are the values of a and b?

(A) a = 6, b = 4 (B) a = 7, b = 3 (C) a = 8, b = 2 (D) a = 5, b = 5

Answer: (A) a = 6, b = 4

Explanation: Adding the equations: 2a = 12 \implies a = 6 , Substituting: 6 + b = 10 \implies b = 4 .

Question 8: Evaluate \frac{3}{4} \div \frac{2}{3} .

(A) \frac{9}{8} (B) \frac{8}{9} (C) \frac{6}{7} (D) \frac{4}{3}

Explanation: \frac{3}{4} \div \frac{2}{3} = \frac{3}{4} \times \frac{3}{2} = \frac{9}{8} .

Question 9: Simplify (x^2y^3)^2 .

(A) x^4y^6 (B) x^4y^3 (C) x^2y^6 (D) x^4y^5

Explanation: (x^2y^3)^2 = x^{2 \cdot 2} y^{3 \cdot 2} = x^4y^6 .

Question 10: Solve for x in 2x + 5 = 17 .

(A) 5
(B) 6
(C) 7
(D) 8

Explanation: 2x + 5 = 17 \implies 2x = 12 \implies x = 6 .

Question 11: If a = 3 and b = 4 , what is the value of a^2 + b^2 ?

(A) 9
(B) 12
(C) 16
(D) 25

Explanation: a^2 + b^2 = 3^2 + 4^2 = 9 + 16 = 25 .

Question 12: What is the least common multiple (LCM) of 4 and 6?

(A) 8
(B) 10
(C) 12
(D) 14

Explanation: LCM of 4 and 6 is 12.

Question 13: What is the value of \sqrt{81} ?

(A) 7
(B) 8
(C) 9
(D) 10

Explanation: \sqrt{81} = 9 .

Question 14: Solve for y in 3y - 7 = 11 .

(A) 5
(B) 6
(C) 7
(D) 8

Explanation: 3y - 7 = 11 \implies 3y = 18 \implies y = 6 .

Question 15: Simplify \frac{5x^3}{10x^2} .

(A) \frac{x}{2} (B) \frac{1}{2} (C) \frac{1}{2x} (D) \frac{x^2}{2}

Explanation: \frac{5x^3}{10x^2} = \frac{5}{10} \cdot x^{3-2} = \frac{1}{2} \cdot x = \frac{x}{2} .

Question 16: Solve for x in 4x - 5 = 11 .

(A) 3
(B) 4
(C) 5
(D) 6

Explanation: 4x - 5 = 11 \implies 4x = 16 \implies x = 4 .

Question 17: Evaluate \frac{7}{8} - \frac{1}{4} .

(A) \frac{5}{8} (B) \frac{3}{4} (C) \frac{1}{2} (D) \frac{1}{4}

Explanation: \frac{7}{8} - \frac{1}{4} = \frac{7}{8} - \frac{2}{8} = \frac{5}{8} .

Question 18: Simplify (2x^3y^2)^2 .

(A) 4x^6y^4 (B) 4x^5y^4 (C) 4x^3y^4 (D) 4x^6y^2

Explanation: (2x^3y^2)^2 = 2^2 \cdot x^{3 \cdot 2} \cdot y^{2 \cdot 2} = 4x^6y^4 .

Question 19: What is the product of (x + 3)(x - 3) ?

(A) x^2 - 9 (B) x^2 + 6x + 9 (C) x^2 - 6x + 9 (D) x^2 + 9

Explanation: (x + 3)(x - 3) = x^2 - 9 .

Question 20: Solve for x in \frac{2x}{3} = 8 .

(A) 12
(B) 10
(C) 11
(D) 9