simplify the expression 2x 3x 5
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ATI TEAS 7

TEAS Test Math Questions

1. Simplify the expression: 2x + 3x - 5.

Correct answer: A

Rationale: To simplify the expression 2๐‘ฅ + 3๐‘ฅ - 5, follow these steps: Identify and combine like terms. The terms 2๐‘ฅ and 3๐‘ฅ are both 'like terms' because they both contain the variable ๐‘ฅ. Add the coefficients of the like terms: 2๐‘ฅ + 3๐‘ฅ = 5๐‘ฅ. Simplify the expression. After combining the like terms, the expression becomes 5๐‘ฅ - 5, which includes the simplified term 5๐‘ฅ and the constant -5. Thus, the fully simplified expression is 5๐‘ฅ - 5, making Option A the correct answer. This method ensures all terms are correctly simplified by combining similar elements and retaining constants.

2. Three roommates decided to combine their money to buy a birthday gift for the fourth roommate. The first roommate contributed $12.03, the second roommate gave $11.96, and the third roommate donated $12.06. Estimate the total amount of money the roommates used to purchase the gift

Correct answer: C

Rationale: To find the total amount contributed, you can add the individual contributions: $12.03 + $11.96 + $12.06 = $36. Therefore, the roommates used a total of $36 to purchase the gift. Choice A ($34), B ($35), and D ($37) are incorrect as they do not reflect the accurate total amount contributed by the roommates.

3. A store offers a 15% discount on all items. If an item costs $100, what is the price after the discount?

Correct answer: B

Rationale: To calculate the price after the 15% discount on a $100 item, you first find 15% of $100, which is $15. Then, subtract $15 from the original price: $100 - $15 = $85. Therefore, the correct answer is $85. Choice A ($90), Choice C ($80), and Choice D ($75) are incorrect as they do not reflect the correct calculation of applying a 15% discount to the original $100 price.

4. What is the product of two irrational numbers?

Correct answer: C

Rationale: The correct answer is C: 'Irrational or rational.' When you multiply two irrational numbers, the result can be either irrational or rational. For example, multiplying the square root of 2 (โˆš2) by itself results in the rational number 2. This shows that the product of two irrational numbers can lead to a rational result. Choices A, B, and D are incorrect because the product of two irrational numbers is not limited to being irrational; it can also be rational.

5. x รท 7 = x โˆ’ 36. Solve the equation. Which of the following is correct?

Correct answer: B

Rationale: To solve the equation x รท 7 = x โˆ’ 36, start by multiplying both sides by 7 to get 7(x รท 7) = 7(x โˆ’ 36), which simplifies to x = 7x โˆ’ 252. Next, subtract 7x from both sides to get -6x = -252. Finally, divide both sides by -6 to solve for x, which results in x = 42. Therefore, the correct answer is x = 42. Choice A (x = 6), Choice C (x = 4), and Choice D (x = 252) are incorrect as they do not align with the correct solution derived from the equation.

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