Show:
Solving Equations
Solving Equations with a Variable on Both Sides (no calculators!!!)
Vocabulary Words
Creating Equations with a Variable on Both Sides
Old stuff
100

Solve for x.

x - 3 = 90

x = 93

100

Solve for x.

2x - 3 = x + 7

x = 10

100

What do you call the letter (unknown) in an equation?

Variable

100

Gym A charges $40 a month plus $75 at the start of each year. Gym B charges $30 a month plus $90 at the start of each year. Write an equation to compare the costs of both gyms after x months.

40x + 75 = 30x + 90

100

In the Real Number System, what category does the number -3 go in?

(must name two categories)

Rational

Integer

200

Solve for x.

9x + 11 = 110

x = 11

200

Solve for x.

(1/2)x + 19 = (1/4)x + 45

x = 104

200

What do you call the number next to the variable?

Coefficient

200

Ms. Landry charges $40 an hour with a $5 flat fee for tutoring. Ms. Bowman charges $30 an hour with a flat fee of $10 to tutor. Which equation represents the situation when the cost is the same to be tutored by Ms. Landry and Ms. Bowman, where h is hours?

Write an equation to represent this situation.

40h + 5 = 30h + 10

200
Write this number in standard form:


8.15 x 104

81,500

300

Solve for x.

(2/5)x + 3.5 = 14.6

x = 27.75 or 27 3/4 or 111/4

300

Solve for x.

3x - 14 = 2(1.5x - 7)

Infinitely many solutions.

300

What is the inverse of multiplication?

Division

300

Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is spending at a rate of $10 per week. Which equation will determine when they will have the same amount of money in the bank?

Write an equation to represent this situation.

140 + 6x = 462 - 10x 

or

6x+140=-10x+462

300

What four categories does the number 42 go in?

Natural

Whole

Integer

Rational

400

Solve for x.

3(x - 9) = 27

x = 18

400

Solve for x.

13x + 90 = 4(3.25x - 22.5)

No solution.

400

The number that is known and not changing is called the...

constant.

400

Jose has a new job and earns a salary of $48,000. Victor has a new job and earns a salary of $59,000. Jose will receive a salary increase of $2,800 per year and Victor will receive a salary increase of $1,700 per year.

Which equation can be used to find x, the number of years it will take Jose to earn the same salary as Victor?

48,000 + 2,800x = 59,000 + 1,700x

400

Put these numbers in order from least to greatest:

212 , square root of 462.25, 140 pi

212

square root of 462.25

140 pi

500

Solve for x.

(3)(x + 4.5) = 9

x = 4.5

500

Solve for x.

0.5(2x - 19) = 0.25(6x - 38)

x = 0

500

Inequality means something that is not...

equal.

500

Steve and Alice are doing yard work for a landscaping company. Steve digs up 3 patches of dirt a minute, while Alex digs up 6 patches of dirt a minute. If Steve has already dug up 42 patches of dirt and Alex has already dug up 27, how many minutes, x, will it take for them to dig up the same total number of dirt patches?

Write an equation to represent this situation.

3x+ 42 = 6x + 27

500
Write this number in Scientific Notation:

0.00000023541

2.3541 x 10-7