Vocabulary
What is the difference between an equation and an expression?
An expression is a phrase and cannot be solved without further information; an equation is a sentence and can be solved because it has parentheses.
Solve for x
x + 10 = 28
x = 18
What are phrases used to describe expressions using addition and subtraction?
More than/less than; increased/decreased by
the sum of x and 17
x + 17
What is a variable?
A variable is a letter representing an unknown amount.
Solve for y
y - 46 = 58
y = 104
What are phrases used to describe expressions using multiplication and division?
Product of/quotient of; Multiplied by/ split into groups
99 less than y
y - 99
What is a term?
A term refers to a single part of an expression.
g / 13 = 13
g = 169
f - 88
f decreased by 88
the product of 4 and d
4d
What is a constant?
A constant is a part of the expression that is added or subtracted and is NOT affected by the variable.
Kelly's grandfather has a very old pet tortoise. He told Kelly that the tortoise was 56 years old when she was born 11 years ago. Kelly is amazed and wants to know how old the tortoise is now.
Write and solve the equation to know how old it is.
t = 67 years old
15e
15 multiplied by e
1024 split into r groups
1024/r
What is a coefficient?
A number directly next to a variable that is not separated by anything; multiplied together.
Gina teaches arts and crafts to kids. She is handing out p popsicle sticks to each kid, and there are 5 kids in today's class. Gina will hand out 40 popsicle sticks in all.
Write and solve the equation.
40/5 = p OR 5p=40
p = 8 popsicle sticks
the quotient of w and 7
At the start of the year, the soup kitchen had "v" volunteers. During the year, 12 more volunteers joined them. Write an expression that shows how many volunteers there are now.
v + 12