7th Grade: Solving Equations

One Step Equations

100

solve 12x=132

answer: 11

200

solve 2b= 58

29

300

5g = 70

14

400

solve  x/5  = 30 

150

500

solve: 55x = 3300

x = 60

Two Step Equations

100

2x + 3 = 6

answer: 1.5

200

solve -2(x + 4) = 12

-10

300

solve 2x -3 = 9

6

400

when will you use equations in real life? (give two examples)

bills, jobs, paychecks, math

500

5x + 3 -4 = 105

x = 21.2

Combining Like Terms.

100

simplify  a + 3k + 6a - k

7a + 2k

200

2x + 3y + 4 + 4x + 10 

6x + 3y + 14

300

simplify 7r + 2K - 1 + 3r -k

10r + k -1

400

Simplify 5x + 3y - 10 - 3x + 2y -5

2x + 5y - 15

500

simplify   2x²  _{+   6   +  3 x} ²  _{- 5}

5x²  _{+  1}

Vocabulary

100

What is a variable?

A letter or symbol that represents an unknown value.

200

How do you define a coefficient?

A number that multiplies or divides a variable; a coefficient always has a variable.

300

What is a constant?

A fixes value; a number that stands on its own.

400

What are Like Terms?

Two or more terms in a variable expression that have the same variable factors.

500

What are equivalent expressions?

Expressions that have the same value for every possible value of the variable. 

Multi-Step Equations

100

8x - 1 = 63

x = 8

200

-1 + 8a = -129

a = -16

300

-6 + (n/14) = -5

n = 14

400

-8k + 3 = -125

k = 16

500

(d/12) + 25 = 29

d = 48