Simple Linear Equations (A)
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1 1. 3z + 4 = 34 Simple Linear Equations (A) Solve for each variable. 6. 3x + 2 = z + 5 = u + 10 = a + 4 = c + 4 = y + 1 = c + 6 = x + 5 = c + 8 = x + 8 = v + 3 = c + 7 = u + 4 = c + 7 = 21 Math-Drills.com
2 1. 3z + 4 = 34 z = 10 Simple Linear Equations (A) Answers Solve for each variable. 6. 3x + 2 = 5 x = z + 5 = 8 z = u + 10 = 22 u = a + 4 = 14 a = c + 4 = 22 c = y + 1 = 17 y = c + 6 = 18 c = x + 5 = 23 x = c + 8 = 14 c = x + 8 = 22 x = v + 3 = 23 v = c + 7 = 17 c = u + 4 = 10 u = c + 7 = 21 c = 7 Math-Drills.com
3 Simple Linear Equations (A) Solve for each variable z 2 = 5 6. v = y = u = 7 7. c 5 3 = z + 10 = y = b 3 = a 5 = x = y 9 = c 9 = b 8 = u + 10 = y = 12 Math-Drills.com
4 1. 8 z 2 = 5 z = 6 Simple Linear Equations (A) Answers Solve for each variable. v = 7 v = y = 15 y = u = 7 u = 8 7. c 5 3 = 3 c = z + 10 = 12 7 z = y = 13 y = b 3 = 7 b = a 5 = 12 a = x = 9 x = y 9 = 11 y = c 9 = 12 c = b 8 = 8 b = u + 10 = 17 5 u = y = 12 y = 8 Math-Drills.com
5 Adding & Subtracting Linear Expressions (A) Simplify each expression (6v - 6) - 5(-8v + 3) 2. 3(3m - 1) + 5(6m + 7) 3. -4(-4m - 1) - 4(7m + 3) 4. (-3q + 3) + 7(8q + 1) 5. -7(-4b - 9) + 9(3b + 3) 6. -3(2) - 6(p + 8) 7. 6(9c - 4) + 9(c - 1) 8. 3(2c + 1) + 2(9c - 1) 9. -9(-4n + 3) - 3(5n + 6) 10. 5(9d - 2) + 6(5d - 2) Math-Drills.Com
6 Adding & Subtracting Linear Expressions (A) Answers Simplify each expression (6v - 6) - 5(-8v + 3) 22v (3m - 1) + 5(6m + 7) 39m (-4m - 1) - 4(7m + 3) -12m (-3q + 3) + 7(8q + 1) 53q (-4b - 9) + 9(3b + 3) 55b (2) - 6(p + 8) -6p (9c - 4) + 9(c - 1) 63c (2c + 1) + 2(9c - 1) 24c (-4n + 3) - 3(5n + 6) 21n (9d - 2) + 6(5d - 2) 75d - 22 Math-Drills.Com
7 Kuta Software - Infinite Algebra 1 Literal Equations Solve each equation for the indicated variable. Name Date Period 1) g x, for x 2) u x, for x 3) z m x, for x 4) g ca, for a 5) u x k, for x 6) g c x, for x 7) u k a, for a 8) g xc, for x 9) am, for a 10) x c, for x 11) am n p, for a 12) u ak b, for a 13) a c d r, for a 14) xm np, for x v w2z0y1m6d wkpustlam ES[obfStywFarrWep ALlLjCy.C B wavl]lo NrOikgOhetxsE srwehs]eirmvkegdt.w ] omlaxdte\ `wtigtrhu zijn`f^ihndiztpea WAelrgueibTrnal R1V. Worksheet by Kuta Software LLC
8 Kuta Software - Infinite Algebra 1 Literal Equations Solve each equation for the indicated variable. 1) g x, for x x g Name 2) u x, for x x u Date Period 3) z m x, for x x z m 4) g ca, for a a g c 5) u x k, for x x u k 6) g c x, for x x g c 7) u k a, for a 8) g xc, for x x g c a k u 9) am, for a a m 10) x c, for x x c 11) am n p, for a a n p m 12) u ak b, for a a ub k 13) a c d r, for a a c d r 14) xm np, for x x np m O r2c0f1d6v ukturtfaz usiocf[twwlamrfex nlulnca.e I tarlplx errisgghctxsv xrke^s`ejrdvqeedb.s R smia[dsep mwdistnhk EIanef]iDnIixt_el kamlegmeiberfap n1g. Worksheet by Kuta Software LLC
9 -1- n y2b0k1v2f HKguzttaj 6SRohf0t7wBaKrgel DLjL3CL.9 r sar llo TrQiWgbhftXsr 6r 3egsCeRrUvEe3d2.H T fmjagd2em gwxictbhl ri6nyfxidnailtees UPsrUe8-PAHlug9eybmrWan.e Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name Multi-Step Equations Solve each equation. 1) 6a + 5a = 11 2) 6n 2n = 16 Date Period 3) 4x = 17 4) 0 = 5n 2n 5) 6r 1 + 6r = 11 6) r r = 29 7) -13 = 5(1 + 4m) - 2m 8) 10p + 9 p = 12 9) 42 = 8m + 13m 10) a = 2 11) 18 = 3(3x 6) 12) 30 = 5(6n + 6)
10 -1-4 T25031T28 9KDuAtAan TS3ovfOtWw4aXrWem LLhLnC6.1 y OAblVlm Srqiug3hxtdsy 8rReUsaeor6vPekdn.9 O XMjatdOel Jw8itt8h8 xi4nyfdiun3ixtxef ZP7rReA- rakllgieobgr DaX.I Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name Multi-Step Equations Solve each equation. Date Period 1) 6a + 5a = 11 a = 1 2) 6n 2n = 16 n = 2 3) 4x = 17 x = 2 4) 0 = 5n 2n n = 0 5) 6r 1 + 6r = 11 r = 1 6) r r = 29 r = 2 7) -13 = 5(1 + 4m) - 2m m = 1 8) 10p + 9 p = 12 p = 12 9) 42 = 8m + 13m m = 2 10) a = 2 a = 3 11) 18 = 3(3x 6) x = 4 12) 30 = 5(6n + 6) n = 2
11 Name: Date: 2-Step Equation Word Problems 2. Jasmine s cell phone company charges her $35 an month for phone service plus 0.50 for each text message. How many text messages does Jasmine send in a month if her bill was $52? a. Write an equation using t for the number of text messages. 3. Caroline s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy? a. Write an equation using r for the number of refills. b. Solve the equation. b. Solve the equation. 4. Elkins Pointe basketball team purchased equipment and uniforms for a total cost of $912. The equipment cost 612 and the uniforms were $25 each. How many uniforms did the school purchase? 5. The bill for the repair of a computer was $179. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the computer? a. Write an equation using u for the number of uniforms. a. Write an equation using h for the number of hours it took to repair the computer. b. Solve the equation. b. Solve the equation. 6. Blake s Bowling Alley offers a special. Each game costs $2.50 and the shoe rental $2.00. You spend $14.50 total. How many games did you bowl? 7. Renting boats on a lake costs $22 per hour plus a flat fee of $10 for insurance. If you paid $98 to rent the boat, how many hours did you rent the boat? a. Write an equation and solve. a. Write an equation and solve. 8. The sum of the measures of the angles of all 9. You and 3 friends are going to the County Fair. triangles is 180 degrees. If one angle of the You have a coupon that will save your group triangle measures 45 degrees. The measure of $20. If the total bill to get into the fair was the other 2 angles is equal. What is the $100, how much does one regular price ticket measure of the other 2 angles? to the fair cost? a. Write an equation and solve. a. Write an equation and solve. 10. Ronaldo scored 4 goals in his first soccer game. He then scored the same amount of goals in his next 3 games. If Ronaldo has 10 goals total, how many did he score in each game? a. Write an equation and solve. 11. Raymond buys bottles of water at $2 each and a large pizza at $13. The total cost was $21. How many bottles of water did Raymond buy? a. Write an equation and solve.
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