Equations Review

Write the equation

100

The sum of a number and 9 is 12.

x+9 =12

200

Two thirds of a number minus 3 is the same as 7.

2/3 x-3=7

300

Four less than the quotient of a number and 5 is 11.

x/5-4=11

400

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?

5+4x=25

500

How old am I if 400 reduced by 2 times my age is 244?

400-2x=244

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

What is: 

x = 1

200

Solving Equations

4(6 + 5x) = 124

What is: 

x = 5

300

Solving Equations

6(6n - 2) = 8n - 40

What is:

n = -1

400

Solving Equations

-15 - 5x = 5(-x - 3)

What is:

True statement, infinite solutions

500

Solving Equations

-4(-8p + 1) = -4 - 8p

What is:

p = 0

Absolute Value

100

Solving Absolute Value

|6r + 6| = 60

What is:

 r = -11 or r = 9

{-11,9}

200

Solving Absolute Value

|10x - 3| = 27

What is:

x = 3 or x = -12/5 

{3, -12/5}

300

Solving Absolute Value

-2|-6 + 3a| = -72

What is:

a = -10 or a = 14

{-10, 14}

400

Solving Absolute Value

|7n + 1| - 1 = 47

What is:

n = -7 or n = 47/7 

{-7, (47/7)}

500

Solving Absolute Value

|4k + 7| = -11

What is:

No solution

Solve for a variable

100

Solve for w.

x+w-c=f

w=f+c-x

200

Solve for x.

2x + 10y = -8

What is:

x = -5y - 4

300

Solve for y.

7x - 5y = -25

What is:

y = (7/5)x + 5

400

Solve for z.

3z + w = p

What is:

z = (p - w)/3

500

Solve for c.

10=r/(2c)

c=r/20

Potpourri

100

Absolute value measures...

distance from zero.

200

What method can be used to solve a proportion?

Cross multiplication

300

Simplify.

root 2(25)

5

400

6,000 • 900

5,400,000

500

Simplfiy.

root 2(x^10)

x^5

So easy, it's difficult???

100

-x=11

x=-11

200

x/11 = 4

x=44

300

3-x=7

x=-4

400

5x=0

x=0

500

3+x=0

x=-3