Algebra 1 Practice Test: Literal Equations
- Literal Equations
- 10 questions
- 13 minutes
These 10 questions ask you to solve formulas such as area, interest and temperature conversions for one variable. Treat the other letters like numbers and undo operations in reverse order.
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
The area of a triangle is A = 12bh. Which equation is solved for h?
Correct answer: B
Multiply both sides by 2 to get 2A = bh, then divide by b: h = 2Ab. Dividing by 2 instead of multiplying gives the trap A2b.
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Question 2
Solve y = mx + b for x.
Correct answer: D
Subtract b first: y − b = mx, then divide the whole side by m. Dividing only y by m gives ym − b, which is not equivalent.
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Question 3
The formula F = 95C + 32 converts degrees Celsius to degrees Fahrenheit. Which formula gives C in terms of F?
Correct answer: A
Subtract 32 first, then multiply by the reciprocal 59. Writing 59F − 32 multiplies before subtracting, which reverses the order of the steps.
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Question 4
Solve 3x + 4y = 12 for y.
Correct answer: C
Subtract 3x: 4y = −3x + 12, then divide every term by 4. Forgetting to divide 12 by 4 leaves the constant as 12.
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Question 5
The volume of a cylinder is V = πr2h. Which equation is solved for h?
Correct answer: B
Here h is multiplied by πr2, so divide both sides by πr2. Subtracting πr2 would undo addition, not multiplication.
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Question 6
Solve ax + b = c for x, where a ≠ 0.
Correct answer: A
Subtract b from both sides to get ax = c − b, then divide by a. Subtracting in the wrong order gives b − c, which has the opposite sign.
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Question 7
Simple interest is found with I = Prt. Which equation gives the rate r?
Correct answer: D
The rate is multiplied by both P and t, so divide I by the product Pt. Flipping the fraction to PtI is a common slip.
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Question 8
Solve a(x − b) = c for x, where a ≠ 0.
Correct answer: C
Divide both sides by a to get x − b = ca, then add b. Subtracting b at the end moves it the wrong way.
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Question 9
Solve 2x − 5y = 10 for y.
Correct answer: A
Subtract 2x: −5y = −2x + 10. Dividing every term by −5 gives y = 25x − 2. Dividing by +5 instead flips both signs.
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Question 10
The area of a trapezoid is A = 12h(b1 + b2). Which equation is solved for b1?
Correct answer: C
Multiply by 2 and divide by h to get 2Ah = b1 + b2, then subtract b2. Writing A2h divides by 2 instead of multiplying.
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