New Jersey NJSLA Algebra 1 - Literal Equations and Formulas - Quick Review & Practice

Sep 30, 2026

Uploaded by noah

Practice, progress, and success resources for New Jersey NJSLA Algebra 1 focused on literal equations and formulas. The material defines literal equations with multiple variables, explains how to solve for a specific variable using inverse operations, and highlights substituting values after rearranging once. It includes guided practice problems covering common formulas such as distance, perimeter, circumference, area, simple interest, and unit conversion, with corresponding answer keys and step-by-step tutor notes.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Quick Review

Practice

Word Problems

Answer Keys

Step-by-Step Tutor Notes

Practice • Progress • Succeed | New Jersey NJSLA Algebra 1 [A-CED.4] ~~ ~~ [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)[ ](EffortlessMath.com)Literal Equations and Formulas | Name: | D | ate: | S | core: / 24 | | --- | --- | --- | --- | --- | Quick Review A literal equation is an equation with more than one variable—think formulas like d = rt, A = 12bh, or C = 2􀀙r.“Solve for” aspeci􀀂c variable means rearrange the formula so that variable is alone on one side. Here’s the secret: treat every variable you’re not solving for like it’s a known number, and use the same inverse-operation moves as any other equation. The big advantage of solving for a variable up front: once you’ve done the algebra once, you can substitute different values without redoing the work. Solving d = rt for t gives t = dr ; solving P = 2l + 2w for w gives w = P~~ ~~−22l . |
PRACTICE | | | --- | --- | | Solve each formula for the indicated variable.
1. Solve the distance formula d = rt for the rate r.
2. A = lw; for w
3. P = 2l + 2w; for l
4. V = lwh; for h
5. Solve the circumference formula C = 2􀀙r for the radius r.
6. I = Prt; for t
7. y = mx + b; for x
[8.](8. ax)[ ax](8. ax) + by = c; for y
9. S = 2􀀙r2 + 2􀀙rh; for h
10. Solve the simple-interest amount formula A = P(1 + rt) for the rate r. | 11. V = ~~1~~3􀀙r 2 h; for h
12. E = mc2 ; for m
13. F = ~~9~~5C + 32; for C
14. K = ~~1~~2mv 2 ; for v 2
15. y 􀀀 y 1 = m (x 􀀀 x1 ); for m
16. P = 2(l + w); for w
17. a = v~~ ~~~~ ~~v0 ; for v
18. A = ~~h~~2 (b1 + b2 ); for b 1
19. P = R 􀀀 C; for C a
20. Solve the formula S = for the rate r.
1 􀀀 r | ♦ Word Problems 21. The perimeter of a rectangle is P = 2l + 2w. A garden has a perimeter of 56 ft and a length of 18 ft. First solve for w, then 􀀂nd the width. 22. A car travels at a constant speed: d = rt. The car covers 210 miles in 3.5 hours. Solve the formula for r and 􀀂nd the speed. 23. The area of a triangle is A = ~~1~~2bh. A triangle has area 30 in2 and base 12 in. Solve for h and 􀀂nd the height. 24. The formula C = ~~5~~9 (F 􀀀 32) converts Fahrenheit to Celsius. Solve it for F, then use your formula to 􀀂nd F when C = 25◦ C. [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com) 1 Scan Me Practice • Progress • Succeed | New Jersey NJSLA Algebra 1 [A-CED.4] ~~ ~~ [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com) Answer Keys 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. m = E c2 | 5(F 􀀀 32) C = ~~ ~~
9 | | | | | | | | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | 2 2Kv = m | | | | | | | | | | | | | | | | m = yx~~ ~~􀀀~~ ~~yx11 | | | | | | | | | | | | | | | | w =
P 􀀀 2l
2 | | | | | | | | | | | | | | | | v = at + v0 | | | | | | | | |

FAQs

What is a literal equation, and why does it matter?

A literal equation has more than one variable. Solving for one variable lets you substitute different values later without redoing the algebra.

How do you “solve for” an indicated variable?

Rearrange the formula so the target variable is alone on one side by using inverse operations and keeping both sides balanced.

Which real-world word problems are included?

Word problems include perimeter of a rectangle, constant-speed travel using a distance formula, and triangle area problems, plus a Fahrenheit-to-Celsius conversion example.

Sep 30, 2026

Uploaded by noah