Solving Equations
Solve for x.
x - 3 = 90
x = 93
Solve for x.
2x - 3 = x + 7
x = 10
What do you call the letter (unknown) in an equation?
Variable
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
In the Real Number System, what category does the number -3 go in?
(must name two categories)
Rational
Integer
Solve for x.
9x + 11 = 110
x = 11
Solve for x.
(1/2)x + 19 = (1/4)x + 45
x = 104
What do you call the number next to the variable?
Coefficient
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
8.15 x 104
81,500
Solve for x.
(2/5)x + 3.5 = 14.6
x = 27.75 or 27 3/4 or 111/4
Solve for x.
3x - 14 = 2(1.5x - 7)
Infinitely many solutions.
What is the inverse of multiplication?
Division
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
What four categories does the number 42 go in?
Natural
Whole
Integer
Rational
Solve for x.
3(x - 9) = 27
x = 18
Solve for x.
13x + 90 = 4(3.25x - 22.5)
No solution.
The number that is known and not changing is called the...
constant.
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
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
Solve for x.
(3)(x + 4.5) = 9
x = 4.5
Solve for x.
0.5(2x - 19) = 0.25(6x - 38)
x = 0
Inequality means something that is not...
equal.
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
0.00000023541
2.3541 x 10-7