simplify the expression 2x 3x 5
Logo

Nursing Elites

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. Solve for x: x + 5 = x - 3.

Correct answer: A

Rationale: To solve the equation x + 5 = x - 3, we aim to isolate x. By subtracting x from both sides, we get 5 = -3, which is not possible. This indicates that the equation has no solution. Therefore, the correct answer is x = -5. Choices B, C, and D are incorrect as they do not yield a valid solution when substituted back into the original equation.

3. Simplify the following expression: 5 x 3 รท 9 x 4

Correct answer: A

Rationale: To simplify the expression 5 x 3 รท 9 x 4, first perform the multiplications and divisions from left to right: 5 x 3 = 15 and 9 x 4 = 36. So, the expression becomes 15 รท 36. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. Hence, 15 รท 36 = 15/36. To simplify the fraction further, find the greatest common divisor, which is 3. Divide both the numerator and denominator by 3 to get the final result: 15/36 = 5/12. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the correct simplification of the given expression.

4. If the price of a shirt was originally $30 and it is now being sold at a 20% discount, what is the sale price of the shirt?

Correct answer: A

Rationale: To find the discount amount, calculate 20% of $30: 0.20 ร— $30 = $6. Subtract the discount from the original price to get the sale price: $30 - $6 = $24. Therefore, the correct answer is $24. Choices B, C, and D are incorrect as they do not reflect the correct calculation of applying a 20% discount to the original price of $30.

5. Which of the following is the decimal form of 87.5%?

Correct answer: C

Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 87.5% as a decimal is 0.875. Choice A (875) is incorrect as it represents the percentage without converting to a decimal. Choice B (8,750) is incorrect as it represents the percentage in whole numbers without decimal conversion. Choice D (8.75) is incorrect as it represents 875% instead of 87.5%.

Similar Questions

As part of a study, a set of patients will be divided into three groups. 4/15 of the patients will be in Group Alpha, 2/5 in Group Beta, and 1/3 in Group Gamma. Order the groups from smallest to largest, according to the number of patients in each group.
Approximately how many people voted for the proposition if 9.5% of the town's population of 51,623 voted for it in a municipal election?
Divide 4/3 by 9/13 and reduce the fraction.
A charter bus driver drove at an average speed of 65 mph for 305 miles. If he stops at a gas station for 15 minutes, then drives another 162 miles at 80 mph, how long will it have been since he began the trip?
Solve for x: 2x + 6 = 14

Access More Features

ATI TEAS Premium Plus
$150/ 90 days

  • Actual ATI TEAS 7 Questions
  • 3,000 questions with answers
  • 90 days access

ATI TEAS Basic
$99/ 30 days

  • 3,000 Questions with answers
  • 30 days access

Other Courses