Writing algebraic expressions
Write an expression for the product of 3 and w.
3w
Write a verbal expression for x + 3. (Use sum, difference, quotient or product)
The sum of x and 3
3n -5
Identify the variable.
n
p + 9
Evaluate when p = 6.
p + 9
=(6) + 9
=15
Is 3n = 12 an expression or an equation?
Equation because it has an equal sign
Write an expression for w less than 15.
15 - w
Write a verbal expression for 2y. (Use quotient, sum, difference or product.)
The product of 2 and y
2z + 9
Identify the constant.
9
8 - g
Evaluate the expression when g is 3.
8 - g
=8 - (3)
=5
List the order of operations. Either write the words or the symbols. (We use an acronym to help us remember!)
Bonus points for circling any operations that are paired together (we solve them left to right).
Brackets ()
Exponents n2
Division รท or /
Multiplication x or *
Addition +
Subtraction -
Write an expression for the difference of twice p and 9.
2p - 9
Write a verbal expression for 3m - 2.
The product of 3 and m minus 2
3x + 12
State the coefficient
3
4w
Evaluate the expression when w is 5
4w
=4(5)
=20
6p
What operation is shown?
(A number and a letter means multiply together!)
Write an expression for 9 times the difference of r and 8.
9(r-8)
Write a verbal expression for x/5 + 10
The sum of x divided by five, and 10
In the expression 7 + 9x, identify the constant, the coefficient, and the variable. 400 points each.
7 is the constant
9 is the coefficient
x is the variable
w/4 + 9
Evaluate when w = 28
w/4 + 9
=(28)/4 + 9
=7+9
=16
What operation can be represented by a fraction?
Division
Sophia goes to the movie with her friends. Her ticket costs $15 and the theatre charges $10 per snack. Write an expression that models the cost of Sophia's trip to the movies. (DOUBLE POINTS: What does the variable represent?)
10s + 15
Where s represents the number of snacks Sophia buys.
Write a verbal expression for 3(q - 7).
3 times the difference of q and 7.
n
State the coefficient and the constant. 500 points each
Coefficient is 1
Constant is 0
1n+0
30 - 3n
Evaluate the expression when n = 6
30 - 3n
=30 - 3(6)
=30 - 18
=12
Sometimes you can switch the order of the terms in an expression and sometimes you can't (commutativity). Which operations are you NOT allowed to change the order for?
Subtraction and division