ATI TEAS Math Practice Test: Algebra
- Algebra
- 10 questions
- 15 minutes
These questions practice the algebra on the TEAS Math section: equations, inequalities and word problems. Tip: after you solve, put your answer back into the original equation to check it.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Solve for x: 3x − 7 = 2x + 5
Correct answer: B
Subtract 2x from both sides to get x − 7 = 5, then add 7: x = 12. Check: 36 − 7 = 29 and 24 + 5 = 29.
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Question 2
Solve for x: 4(x + 3) = 2x − 6
Correct answer: C
Distribute: 4x + 12 = 2x − 6. Subtract 2x and 12: 2x = −18, so x = −9. Forgetting to multiply the 3 by 4 leads to x = −4.5.
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Question 3
Which inequality is the solution of −2x + 5 > 11?
Correct answer: D
Subtract 5: −2x > 6. Dividing by −2 reverses the inequality sign, so x < −3. Keeping the sign unchanged gives x > −3.
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Question 4
A phone plan costs $25 a month plus $0.10 for each text message. One month the bill is $31.40. How many text messages were sent?
Correct answer: C
Subtract the base fee: 31.40 − 25 = 6.40. Then 6.40 ÷ 0.10 = 64 texts.
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Question 5
Which equation matches the sentence "Five less than twice a number is 17"?
Correct answer: B
"Twice a number" is 2n, and "five less than" it means subtract 5 from 2n. Writing 5 − 2n reverses the order of the subtraction.
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Question 6
What is the value of 3a2 − 2b when a = −2 and b = 4?
Correct answer: D
(−2)2 = 4, so 3 × 4 = 12, and 12 − 2 × 4 = 12 − 8 = 4. Squaring incorrectly to −4 gives −12 − 8 = −20.
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Question 7
Simplify: 5(2x − 3) − 4x
Correct answer: A
Distribute the 5: 10x − 15, then subtract 4x: 6x − 15. Distributing only to the first term gives 6x − 3.
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Question 8
The perimeter of a rectangle is P = 2l + 2w. Which equation correctly solves for w?
Correct answer: D
Subtract 2l from both sides (2w = P − 2l), then divide the whole right side by 2. Without the parentheses, only 2l would be divided by 2.
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Question 9
A patient transport van travels at a steady 60 miles per hour. How long does it take to travel 195 miles?
Correct answer: A
Time = distance ÷ rate = 195 ÷ 60 = 3.25 hours, and 0.25 hour is 15 minutes. Reading 3.25 as "3 hours 25 minutes" is the usual trap.
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Question 10
A nurse earns $32 an hour for the first 40 hours in a week and 1.5 times that rate for every hour over 40. How much does the nurse earn for a 46-hour week?
Correct answer: B
Regular pay is 40 × 32 = $1,280. The overtime rate is $48, and 6 × 48 = $288. Total: $1,568. Paying all 46 hours at $32 gives $1,472.
Questions you leave blank are not counted as wrong.
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