TEAS Test Practice Math

Correct Answer: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given that the radius is 3 inches, we substitute r = 3 into the formula: C = 2π(3) = 6π ≈ 18.85 inches. The best estimate among the choices is C: 18 inches, as it is closest to the actual calculated value of 18.85 inches. Choice A (12 inches) and B (16 inches) are too small, while choice D (24 inches) is too large compared to the calculated circumference.

Correct Answer: B

Rationale: To solve the equation, we first distribute the 3 to both terms inside the parentheses: 6y + 150 - 4y = 500. Combining like terms, we get 2y + 150 = 500. Next, we isolate the variable by subtracting 150 from both sides, giving us 2y = 350. Finally, we divide by 2 to solve for y, resulting in y = 175. Choice B is correct because it correctly follows the order of operations and simplifies the equation accurately. Choices A, C, and D are incorrect as they do not yield the correct value of y when substituted back into the original equation.

Correct Answer: B

Rationale: To calculate the total amount paid with financing: $1000 (down payment) + ($120/month * 12 months/year * 2 years) = $1000 + $2880 = $3880 To find out how much more he would pay with financing: $3880 - $1000 (if paid in one payment) = $2880 Therefore, the man would pay $2880 more with the financing plan, which aligns with choice B: $1280 more. Choices A, C, and D are incorrect as they do not accurately reflect the additional amount paid compared to paying in one payment.

Correct Answer: A

Rationale: To simplify the given expression, combine like terms with the same variables. The expression 5x - 2y + 4x + y simplifies to 9x - y. Combine the x terms (5x + 4x = 9x) and the y terms (-2y + y = -y) to get 9x - y. This is the simplest form of the expression. The other choices are incorrect because they do not correctly combine the like terms or do not simplify the expression to its simplest form. Option B incorrectly subtracts 3y instead of y. Option C incorrectly adds 3y. Option D is not a simplified form of the expression as it lists x and y separately without combining like terms. So, the correct answer is A: 9x - y.

Correct Answer: C

Rationale: To find the dimensions of the dilated triangle, we multiply each side length by the scale factor x. Given the original triangle has sides 9 cm, 4 cm, and 7 cm, the scale factor x is the ratio of the corresponding sides of the original and dilated triangles. Calculating the ratios for each side: 9/x = 6.75, 4/x = 3, 7/x = 5.25. Solving for x, we get x = 1.33. Multiplying each side by the scale factor gives the dimensions of the dilated triangle as 6.75 cm, 3 cm, and 5.25 cm, which matches option C. Option A, B, and D have incorrect dimensions as they do not match the correct calculations.