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

3(y - 4) = 15

y = 9

500

5x + 3 -4 = 105

x = 21.2

Mixed Equations

100

x + 3 + 2 = 9

x = 4

200

5(n - 3) = 10

n = 5

300

2(x + 2) = 10

x = 3

400

7x + 9 = 2x - 1

x = -2

500

8x - 3(x - 1) = 4(x + 2)

x = 3

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  +3x²  -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 that have the same variable and exponent. Constants are also like terms.

500

What is two equivalent expressions that are separated by an equal sign?

An equation.