Vocabulary
This mathematical sentence uses an equal sign to show that two expressions are equal.
equation
Solve the equation: d + 4.5 = 8.2
d = 3.7
Write the equation for: The sum of a number a and 13 is 27.
a + 13 = 27
The total amount needed for a school trip is $4550. If $1246 is already raised, write and solve an equation to find how much more is needed.
1246 + x = 4550
$3,304 more is needed
Fill in the blank so that the ordered pair is a solution of y=3x−2: (____, 25).
x = 3
A value that makes an equation true.
solution
Solve the equation: 110 = 10a
a = 11
Write the equation for: Three more than a number b equals 15.
b + 3 = 15
Solve for z if "Three-fourths of a number z is 36."
z = 48
Is 5 a solution of the equation 2t−7=3?
Yes, it is a solution.
Operations that "undo" each other, like addition and subtraction or multiplication and division.
Inverse operations
Solve the equation: 0.7z = 4.2
z = 6
Write the equation for: Twice a number c equals 25.
2c = 25
You work at the movie theater for $10 an hour, which is expressed by the equation y = 10x. Identify the independent and dependent variables.
Independent variable: x, hours worked
Dependent variable: y, total money earned
Write an equation in two variables that represents the total cost of buying x books, where each book costs $12 and there is a $5 fixed shipping fee.
y = 5 + 12x
The variable representing the quantity that can change freely in an equation in two variables.
independent variable
Solve the equation: 0.4t = 8
t = 20
Write the equation for: The product of 5 and a number d is 40.
5d = 40
It costs $50 to join a gym, plus $15 per month for a membership. Write an equation in two variables that represents the total cost of joining the gym.
y = 50 + 15x
Determine if (3,12) is a solution of y=4x+9?
No, it is not a solution.
The variable whose value depends on the independent variable in an equation in two variables.
dependent variable
Solve the equation: d/13 = 8
d = 8
Six less than a number e is equal to 19.
e - 6 = 19
A rectangle has a length of 8 inches and a width of x inches. Write and solve an equation to find the missing dimension of a rectangle given its area as 56 square inches.
8x = 56
x = 7
Check if (4,13) is a solution to y=2x+5.
Yes, it is a solution.