Vocabulary
Identify the constant, the coefficient, and the variable in the following expression:
3x+12
constant: 12
coefficient: 3
variable: x
Write an algebraic expression to represent the verbal phrase, where d represents dollars.
"15 more dollars than she originally had."
d + 15
What is the greatest common factor of 20 and 35?
5
Evaluate the expression.
2(3) + 12 ÷ 4
9
Rewrite the expression 6(x + 3) using the Distributive Property.
6x + 18
The __________ Property states that to multiply a sum or difference by a number, multiply each term inside the parentheses by the number outside the parentheses.
The Distributive Property states that to multiply a sum or difference by a number, multiply each term inside the parentheses by the number outside the parentheses.
Write an algebraic expression to represent the verbal phrase, where b represents books.
"Ten fewer than the librarian’s number of books, b"
b - 10
What is the least common multiple of 8 and 6?
24
Evaluate the Expression.
9+(3 ∙ 5) - 42
8
Rewrite the expression 12(4x + 3) using the Distributive Property.
48x + 36
Which sentence is a numerical expression and which is an algebraic expression?
"Twice the sum of five and nine"
"Six more than three times the number q"
2(5+9) is a numerical expression
3q + 6 is an algebraic expression
Write an algebraic expression to represent the verbal phrase, where c represents candy.
"The product of four and the number of candy, c, increased by eleven."
4c + 11
What is the greatest common factor of 32 and 56?
8
Evaluate 4(x+2y) when x = 5 and y = 3
44
Rewrite the expression 14(2f + 5) using the Distributive Property.
28f +70
Like terms must have the same _______ and the same _________.
Like terms must have the same variable and the same exponent.
Write an algebraic expression to represent the verbal phrase, where b represents books.
"Ten more than half the librarian’s number of books, b"
1/2 b + 10
b/2 + 10
Use the GCF to FACTOR 35 + 56.
__ ( __ + __ )
(1/2)^2* (4*5-4)+1^3
Finish the rule:
a (b + c) = ?
a * b + a * c
In the expression
(4/5)^3
identify the exponent, the base, and the power.
base: 4/5
exponent: 3
power: (4/5)^3
Write an algebraic expression to represent the verbal phrase, where a represents acres.
"Six less than seven and one-half times the number of acres of land Ian has"
7 1/2a - 6
Use the GCF to FACTOR 28x + 42.
__ ( __ + __ )
Evaluate the expression when x=3, y=4, and z=6
(6x+3y)-z^2 divide (2x)
24
Two students are rewriting the expression 7(9 + h). Morgan rewrites the expression as 63 + h. Holly rewrites the expression as 63 + 7h. Which student is correct? Explain your reasoning in at least one complete sentence.