which of the following expressions represents the sum of three times a number and eight times a different number

ATI TEAS 7

Practice Math TEAS TEST

1. Which of the following expressions represents the sum of three times a number and eight times a different number?

A. 3x + 8y
B. 8x + 3x
C. 3x - 8y
D. 8x - 3y

Correct answer: A

Rationale: The correct expression for the sum of three times a number and eight times a different number is given by 3x + 8y. This represents adding three times the variable x (3x) to eight times the variable y (8y). Choice B (8x + 3x) is incorrect as it represents adding eight times x to three times x, which is redundant. Choice C (3x - 8y) is incorrect because it represents subtracting eight times y from three times x, not their sum. Choice D (8x - 3y) is also incorrect as it represents subtracting three times y from eight times x, not their sum.

2. After taxes, a worker earned $15,036 in 7 months. What is the amount the worker earned in 2 months?

A. $2,148
B. $4,296
C. $6,444
D. $8,592

Correct answer: B

Rationale: To find the amount earned in 2 months, set up a proportion using two ratios relating amount earned to months: (15,036/7) = (x /2). Cross-multiply and solve for x: 7x = 30,072, x = 4,296. Therefore, the worker earned $4,296 in 2 months. Choice A, $2,148, is incorrect as it is half of the correct answer. Choices C and D, $6,444 and $8,592, are incorrect as they do not correspond to the calculated proportion.

3. Solve this equation: 2x+8=0

A. -4
B. 3
C. 5
D. 0

Correct answer: A

Rationale: To solve 2 𝑥 + 8 = 0 2x+8=0: Subtract 8 from both sides: 2 𝑥 = − 8 2x=−8 Divide both sides by 2: 𝑥 = − 8 2 = − 4 x= 2 −8 =−4 Therefore, the solution is 𝑥 = − 4 x=−4.

4. How many milliliters are there in 3.2 liters?

A. 0.32
B. 32
C. 3200
D. 320

Correct answer: C

Rationale: To convert liters to milliliters, you need to know that 1 liter is equal to 1000 milliliters. Therefore, 3.2 liters is equivalent to 3.2 x 1000 = 3200 milliliters. Choice A (0.32) is incorrect as it incorrectly moves the decimal point. Choice B (32) is incorrect as it doesn't consider the conversion factor between liters and milliliters. Choice D (320) is incorrect as it is a partial conversion error, missing a zero at the end.

5. Susan bought a dress for $69.99, shoes for $39.99, and accessories for $34.67. What was the total cost of her outfit?

A. 139.65
B. 144.65
C. 145.55
D. 144.65

Correct answer: B

Rationale: To find the total cost of Susan's outfit, you need to add the prices of the dress, shoes, and accessories together. $69.99 + $39.99 + $34.67 = $144.65. Therefore, the correct total cost of her outfit is $144.65. Choice A ($139.65) is incorrect as it does not account for the full cost of all items. Choice C ($145.55) is incorrect as it includes an extra amount not part of the given prices. Choice D ($144.65) is incorrect due to a duplication of the correct answer.