# 6th Grade - Solve An Equation

 Grade Level: 6th Skill: Algebra Topic: Solve an Equation Goal: Write and solve one-step linear equations in one variable. Skill Description: Understand that both sides of an equation are equal. Know that a variable is a symbol, usually a letter, represents a number. Use this understanding to solve algebraic equations with one variable.

## Building Blocks/Prerequisites

### Sample Problems

 (1) a + 12 = 29. What is a? (a = 17) (2) Solve for z. 79 – z = 53 (z = 26) (3) Solve for b. b – 154 = 325 (b = 479) (4) 45 x n = 495. Find the value of n. (n=11) (5) Mytien bought a skirt and shirt for \$30. If the shirt cost \$10, how much did the skirt cost? Write an equation and use it to solve the problem. (\$30 = n+10; \$20)

### Online Resources

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### Extra Help Problems

 (1) X – 19 = 33 (x = 52) (2) X + 19 = 33 (x = 14) (3) N x 5 = 45 (N=9) (4) 45  n = 5 (n = 9) (5) 12 = p – 13 (p = 25) (6) 80 = 15 + s (s = 65) (7) 11x = 121 (x = 11) (8) 55 = x  11 (x = 605) (9) 8.25 – n = 2.50 (n=5.75) (10) 17.5 = p + 5.72 (p = 11.78) (11) 12n = 21 (n = 1.75) (12) b  15.63 = 5.25 (b = 82.0575) (13) 3 ½ + c = 7 ¼ (c = 3 -3/4) (14) 6/16 – a = ¼ (a = 2/16) (15) 2/3n = 5/2 (n = 15/4) (16) 9 1/3  p = 3 ½ (p = 8/3) (17) If x – 5 = 10, which of the following is also true? x – 5 - 5 = 10 – 5 B) x – 5 + 5 = 10 + 5 (B) (18) 8 + m = 9(4) (m = 28) (19) 16  2 = 4c (c = 2) (20) Adriana and James collect marbles. James has 6 times as many marbles as Adriana. If James has 120 marbles, how many does Adriana have? Write an equation with using the variable m for Adriana’s marbles and solve it. (120 = 6 m; m = 20) (21) Jaime wants to make a CD of his favorite songs. There are 56 minutes of time on his CD. He records 16 songs. Write an equation that could be used to find the average length of each song and then solve it. (16n = 56; n = 3.5) (22) Noah earns \$20 for doing chores each week. He gives a set amount to charity and has \$14.50 left over. Write an equation that could be used to find how much money Noah gives to his charity and then solve it. (20 – n = 14.50; n = \$5.50) (23) The Cubs won 40 games this season, this is 4 more games than last season. Solve the equation g + 4 = 40 to find g, the number of games they won last season. (g = 36) (24) Shane has \$23 in his pocket after spending \$12 at the movies. Solve the equation d – 12 = 23 to find d, the amount of dollar he had before the movies. (d = \$35) (25) Reyanne buys 3 notebooks and one binder. The binder costs \$3.20, which is 4 times the cost of the notebooks. How much do the notebooks cost? (\$.80)