One-Step Equations
Whole Numbers
Whole Numbers
11 = w - 5
w = 16
w + 4.4 = 5.3
w = 0.9
Read the inequality and give one possible value:
x>2
x is greater than 2
answers for part 2 may vary
Write an algebraic expression:
The sum of a number c and 13
c + 13
8 3
512
What is the inverse of addition?
Subtraction
b/5=20
b = 100
d - 9.8 = 13.8
d = 23.6
Read the inequality and give one possible value:
x<90
x is less than 90
When 45 is subtracted from a number a
a - 45
1/4 to the third power
1/64
What is the inverse of division?
Multiplication
i + 7 = 9
i = 2
1.2m = 9.6
m = 8
Write an inequality for the amount of money, d, Daniel has if he has at least $7.50
d is greater than or equal to 7.50
The product of ten and the number of papers, p, increased by 10
10p +10
47
16,384
What does it mean for operations to have an inverse relationship?
They undo each other. Examples:
+11 and -11
\times 7 and \div 7
5h = 35
h = 7
2.5 = j/0.4
j = 1
Write an inequality to represent Chloe's age, a, if she is not 11 years old.
C is not equal to 11
five more than half the student's books, b
1/2 b + 5
The formula for the area of a triangle is A = 1/2 (b)(h). If a triangle has a base of 10 inches and an area of 65 inches, what is its height? Use substitution.
13 inches
Describe the relationship between the properties of equality and equations.
The properties of equality state that if you do the same operation by the same number on both sides of a balanced equation, the equation will remain balanced.
45 = 9 + x
x = 36
6.3 = v + 10.4
v = -4.1
Write an inequality to represent the cost, c, of a bag of chips if it is no more than $5
C is less than or equal to 5
seven less than one-half the number of cars Joe has. Use a - as the variable
1/2 a - 7
The distance around a lake is 4.8 miles. On Monday, Sarah bikes a total of 25.3 miles around the lake. Write a multiplication equation with a variable to find the numbers of times Sarsh biked around the lake.
4.8 b = 25.3
Which property of equality would you use to solve the following algebraic equation?
5x=20
The Division Property of Equality