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Rearranging Formulas - Printable Mathematics Worksheets year 8 - Wayground

Rearranging Formulas

11 questions

8th - 8th Grade

Mathematics

Rearranging Formulas is a Grade 8 mathematics worksheet that gives students 11 multiple-choice problems on solving literal equations for a specified variable. Students isolate variables in linear equations such as 8x + 4y = 16 and y = mx + b, rearrange formulas with several terms such as ax + c = R and a + b = s + r, and work with relationships including pV = nRT and E = mc². The answer choices require students to distinguish correct inverse operations, signs, factors, and fractions. This free printable worksheet with an answer key supports practice in transforming formulas while preserving equality. It is useful for guided instruction, independent review, or a quick check of whether students can solve for a variable rather than simply substitute values. Because each item is multiple choice, teachers can use students’ selected distractors to identify whether they are adding or subtracting incorrectly, skipping a division step, or isolating the wrong expression.

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Worksheets

Rearranging Formulas

Total questions: 11

Name
Class
Date
1.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
2.
Solve for y:
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
3.
Solve:
y = mx + b , for b
a)
y - mx = b
b)
y + mx = b
c)
y/mx = b
d)
y + mx = -b
4.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
5.
a)
(2.5+h)f
b)
g=1
c)
f(5+h)/2
d)
(5f+h) / 2
6.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
7.
a)
4w-10
b)
-2w+10
c)
2w-10
d)
-4w + 10
8.
ax + c = R
(solve for x) 
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c)/a 
9.
Solve for s:
a + b = s + r
a)
s = a/r + b
b)
s = (a + b)/r
c)
s = r(a + b)
d)
s = a + b - r
10.

Solve the formula for p.
I = prtI\ =\ prt  

a)

p = I − rtp\ =\ I\ -\ rt  

b)

p = Irtp\ =\ \frac{I}{rt}  

c)

p = Irtp\ =\ Irt  

d)

p = rtIp\ =\ \frac{rt}{I}  

11.
E = mc2     solve for m
a)
m = sqrt(E/c)
b)
m = sqrt(E)/c
c)
m = E/c2
d)
m = money
Answer Key

Rearranging Formulas

Total questions: 11

1.
a) 2A/h
2.
c) y = -2x + 4
3.
a) y - mx = b
4.
a) R= pV/nT
5.
d) (5f+h) / 2
6.
c) x = by + v
7.
b) -2w+10
8.
d) x = (R-c)/a 
9.
d) s = a + b - r
10.
b)

p = Irtp\ =\ \frac{I}{rt}  

11.
c) m = E/c2

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FAQs

What does the Rearranging Formulas worksheet help Grade 8 students learn?

This Grade 8 mathematics worksheet helps students isolate a specified variable in literal equations using 11 multiple-choice problems. Students rearrange linear equations and formulas such as 8x + 4y = 16, y = mx + b, ax + c = R, a + b = s + r, and pV = nRT by applying inverse operations and handling coefficients, products, and fractions correctly.

How can I use this worksheet to teach students to rearrange formulas?

Model one problem by naming the target variable, undoing operations in reverse order, and checking the resulting equation. Then work through a linear example such as 8x + 4y = 16 before moving to formulas with several variables, such as pV = nRT or a + b = s + r. Ask students to explain why each incorrect choice fails—for example, whether it uses the wrong operation or leaves a coefficient attached to the target variable.

What mistakes should I watch for on the Rearranging Formulas worksheet?

Students may change a sign incorrectly when moving a term, as in solving y = mx + b for b, or stop after isolating a term without dividing by its coefficient, as in ax + c = R. They may also mishandle a product or fraction when solving formulas such as pV = nRT for R. The multiple-choice distractors make these errors visible, so have students verify each result by substituting it back into the original equation.

How do I assign and grade this Rearranging Formulas worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 11 multiple-choice questions. Assign the digital version for online responses, or print the PDF for written practice; printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time.

How can I differentiate this worksheet for students who need support with algebraic notation?

Use the worksheet’s Advanced Settings to increase font size or spacing so students can more easily track terms, signs, and fraction-style expressions in the multiple-choice items. You can also select a dyslexia-friendly font or translate the worksheet’s directions and answer choices into another language when appropriate. These adjustments preserve the formula-rearranging task while making the page easier to read.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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