ATI TEAS 7
TEAS Test Math Questions Questions
Question 1 of 5
Solve the system of equations. Equation 1: 2x + y = 0 Equation 2: x - 2y = 8
Correct Answer: B
Rationale: From Equation 1: 2x + y = 0. Solve for y: y = -2x. Substitute y = -2x into Equation 2: x - 2(-2x) = 8. Simplify to x + 4x = 8, then 5x = 8, and x = 8 · 5 = 1.6. Substitute x = 1.6 back into y = -2x to find y = -3.2.
Therefore, one solution is (1.6, -3.2).
To find the second solution, use -1.6 for x to get (-1.6, 3.2). Thus, the correct answer is B, representing the solutions (1.8, -3.6) and (-1.8, 3.6).
Choices A, C, and D contain incorrect values that do not match the solutions derived from solving the system of equations.
Question 2 of 5
Solve for x in the equation: 3x - 5 = 16
Correct Answer: C
Rationale:
To solve for x, add 5 to both sides of the equation: 3x - 5 + 5 = 16 + 5, which simplifies to 3x = 21. Next, divide both sides by 3: x = 21 · 3 = 7.
Therefore, the correct answer is x = 7, making option A the correct choice. Option C, '8,' is incorrect as it is not the solution obtained from the correct calculations. Options B and D, '5' and '9,' are also incorrect and not the solution to the given equation.
Question 3 of 5
What is the result of multiplying 3/5 by 5/7?
Correct Answer: A
Rationale:
To multiply fractions, multiply the numerators together and the denominators together. Multiplying 3/5 by 5/7 gives (3*5)/(5*7) = 15/35. This fraction simplifies to 3/7 by dividing the numerator and denominator by their greatest common factor, which is 5.
Therefore, the correct answer is 3/7.
Choices B, C, and D are incorrect as they do not result from multiplying 3/5 by 5/7.
Question 4 of 5
What is the product of 2/3 and 3/4?
Correct Answer: A
Rationale:
To multiply fractions, you multiply the numerators to get the new numerator and multiply the denominators to get the new denominator.
Therefore, multiplying 2/3 by 3/4 results in (2*3) / (3*4) = 6/12. Simplifying 6/12 by dividing both the numerator and denominator by 6 gives 1. Hence, the correct answer is 1.
Choices B, C, and D are incorrect as they do not represent the correct product of multiplying 2/3 by 3/4.
Question 5 of 5
How much hydrochloric acid (HCl) is necessary to make 2.5 liters of a 5:1 solution of water (in liters) to HCl (in grams)?
Correct Answer: C
Rationale:
To create a 5:1 solution in 2.5 liters, 0.5 liters are needed for HCl, which translates to 5 grams. The correct answer is 5 grams, as this amount corresponds to the 5:1 ratio specified in the solution.
Choices A, B, and D are incorrect because they do not align with the 5:1 ratio and the volume of the solution.