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Literal Equations

Authored by Erica Thomas

Mathematics

9th - 12th Grade

CCSS covered

Used 1K+ times

Literal Equations
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About

This quiz focuses on literal equations, a fundamental topic in algebra that requires students to manipulate equations to solve for a specified variable. The content is appropriate for grades 9-12, as it encompasses skills essential for Algebra 1 through more advanced mathematics courses. Students must demonstrate proficiency in inverse operations, including addition, subtraction, multiplication, and division, while applying the properties of equality to isolate variables systematically. The problems range from basic one-step isolations to more complex multi-step manipulations involving distribution, combining like terms, and working with formulas commonly found in geometry and physics. Mastery of these concepts requires students to think algebraically about relationships between variables, understand that equations represent balanced mathematical statements, and recognize that the same algebraic principles apply whether working with abstract variables or concrete formulas like area, perimeter, and scientific relationships. Created by Erica Thomas, a Mathematics teacher in US who teaches grades 9-12. This comprehensive assessment tool provides excellent support for instruction across multiple contexts, from daily warmup problems that reinforce algebraic thinking to formal summative assessments that measure student understanding of equation manipulation. Teachers can deploy these problems as homework assignments to build fluency with inverse operations, use them during guided practice sessions to model problem-solving strategies, or implement them as formative assessments to identify students who need additional support with algebraic reasoning. The quiz effectively prepares students for success with standards A-REI.3, which requires students to solve linear equations and inequalities in one variable, and A-CED.4, which focuses on rearranging formulas to highlight a quantity of interest. These literal equation skills form the foundation for advanced topics including systems of equations, quadratic formulas, and scientific applications where formula manipulation is essential for problem-solving.

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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve the literal equation for the given variable.

2A/h
2/(h)
2Ah
Ah/2

Tags

CCSS.HSA.CED.A.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve for a.

a = pw
a = p/w
a = w/p
a = w + p

Tags

CCSS.HSA.CED.A.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

S = 3F - 24  Solve for F

F = (S + 24)/3
F = S/3 + 24
F = 3S + 24
F = 3(S + 24)

Tags

CCSS.HSA.CED.A.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for y:
8x + 4y= 16

y = -8x + 16
y = 2x -4
y = -2x + 4
y = -8x + 12

Tags

CCSS.6.EE.C.9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for y:
5x - y = 16

-y = 5x + 16
y = 5x + 16
x = 5y - 16
y = 5x - 16

Tags

CCSS.6.EE.C.9

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve m - n = 5 for m.

m = 5 + n
m = -5 - n
m = -5 + n
m = 5 - n

Tags

CCSS.6.EE.C.9

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve -2 = 4r + s for s.

s = -2 + 4r
s = 2 - 4r
s = -2 - 4r
s = 2 + 4r

Tags

CCSS.6.EE.C.9

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