10-1: I can represent a real-world situation with a two-step equation.
Definitions
100
Solve.
m + 12 = 10
What is m=-2?
100
√256
What is 16?
100
Solve.
6x + 8 = 50
What is x=7?
100
The equation y = 12x + 60 can be used to estimate y, the height of a tree in centimeters x months after it is planted. When a tree is 150 cm tall, how long ago was the tree planted?
What is 7.5 months?
100
A mathematical sentence that shows the two expressions are equivalent.
What is an equation?
200
Solve.
-2 = g - 9
What is g=7?
200
√9
What is 3?
200
Solve.
7 - 3x = 34
What is x=-9?
200
To become a member at a gym, you must pay a start-up fee of $100 plus $25 each month. Write an equation for the total bill t in terms of the number of months m.
What is t = 25m + 100
200
A mathematical phrase that contains operations, numbers, and/or variables.
What is an expression?
300
Solve.
-7y = -91
What is y=13?
300
Which number is not a rational?
0.8, 2/3, π, or –5
What is π, pi?
300
Solve.
13 = -4x + 9
What is -1=x or x=-1?
300
Alexis opened a savings account with a $3500 deposit. Each
week she will put $120 into the account. Write an equation for the account balance b in terms of the number of weeks, w.
What is b = 120w + 3500?
300
Operations that undo each other: addition and subtraction, or multiplication and division.
What is an inverse operation?
400
Solve.
a÷9 = -4
What is a=-36?
400
Which number is not a rational?
√24, √25, √81, or √100
What √24?
400
Solve.
2x - 5 = 11
What is x=8?
400
Maria pays a monthly fee of $53.95 plus $0.05 per minute for long distance calls. Write an equation for the phone bill p in terms of the number of minutes m.
What is p = 0.05m + 53.95
400
A mathematical statement that two ratios are equivalent.
What is a proportion?
500
Solve.
f - 50 = 75
What is f=125?
500
Which numbers are rational?
√1000, √100, √47, or √0.25
What is √100 and √0.25
500
Solve.
4m - 6 = 10
What is m=4?
500
A taxi charges a $10.50 flat fee plus $0.55 per mile. Write an equation for taxi fare t in terms of miles m.