Writing & Solving Two Step Equations

Vocabulary

100

I contain two operations. To solve me, you must undo each operation in reverse order. ex: 3x + 1 = 7

What is A Two Step - Equation

200

I am the number in front of a variable

What is the coefficient

300

I contain the same variable parts ex. 2x and 4x

What are like terms

400

Getting the unknown letter by itself

What is isolating the variable?

500

Extra, unnecessary information ex. parentheses with no distribution

What is superfluous?

One Step Equations A

100

Solve for X. x + 1 = -2

What is ..... x=-3

200

Solve for X 6 = x - 2

What is ... x = 8

300

Solve for m 2 = m + (-3)

What is .... m = 5

400

Solve for y -4 = 3 + y

What is .... y = -7

500

Solve for y 3 - y = 8

What is .... y = -5

One Step Equations B

100

Solve for x. 3x = 9

What is ... x = 3

200

Solve for p. -20 = -4p

What is .... p = 5

300

Solve for a. a/6 = -2

What is ... a = -12

400

Simplify the following equation. 2x = 1/2

What is ... x = 1/4

500

Solve for x. 2/3x = -8

What is ..... x = -12

Two Step Equations

100

Solve for n. 3n + 4 = 19

What is .... n = 5

200

Solve for n. 5 = 2n - 7

What is .... n = 6

300

Solve for n. 7 + n/3 = 10

What is ... n = 9

400

Solve for a. -24 = 6a - 15 - 5a

What is .... a = -9

500

Solve for c. -27 = 2c - 7 - 6c

What is .... c = 5

?? Mystery ??

100

Write the equation & solve for n. Four more than twice a number is 8.

What is .... 2n + 4 = 8 n = 2

200

Translate the sentence into an equation then solve for n. Nine more than three times a number is -6

What is .... 3n + 9 = -6 n = -5

300

Solve each problem by writing and solving an equation. " Over the weekend, Koko spent 2 hours on an assignment, and she spent equal amounts of time studying for 4 exams for a total of 16 hours. How much time did she spend studying for each exam?"

What is ... 4x + 2 = 16 x = 3.5

400

Solve the two step equation. "Katalina has a collection of 26 mugs. When packing to move, she put the same number of mugs in each of the first 4 boxes and 2 mugs in the last box. Solve 4x + 2 = 26 to find the number of mugs in each of the first four boxes."

What is ... 4x + 2 = 26 x = 6 mugs

500

Solve each problem by writing and solving an equation. " At the market, Francisco buys a bunch of bananas for $0.35 per pound and a frozen pizza for $4.99. The total for his purchase was $6.04, without tax. How many pounds of bananas did Francisco buy?"

What is .... 0.35x + 4.99 = 6.04 x = 3 lbs (pounds)