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

View Answer
Answer: (B) x^6y^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

View Answer
Answer: (A) 1,570 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

View Answer
Answer: (B) -2/3

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

View Answer
Answer: (C) 5

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}

View Answer
Answer: (A) \frac{x^2}{2y}

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

View Answer
Answer: (A) 2^7

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

View Answer
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}

View Answer
Answer: (A) \frac{9}{8}

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

View Answer
Answer: (A) x^4y^6

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

View Answer
Answer: (C) 6

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

View Answer
Answer: (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

View Answer
Answer: (C) 12

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

View Answer
Answer: (C) 9

Explanation: \sqrt{81} = 9 .

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

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

View Answer
Answer: (D) 6

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}

View Answer
Answer: (A) \frac{x}{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

View Answer
Answer: (D) 4

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}

View Answer
Answer: (A) \frac{5}{8}

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

View Answer
Answer: (A) 4x^6y^4

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

View Answer
Answer: (A) 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

View Answer
Answer: (A) 12

Explanation: \frac{2x}{3} = 8 \implies 2x = 24 \implies x = 12 .

See also:

TABE 11&12 Level: A

TABE 11&12 Level: D

Official Test Link PDF: TABE 11&12 Math Sample Items D