Vocabulary
This is a mathematical phrase containing numbers, variables, and operations, but no equals sign.
Expression
In the expression 6y + 8, what is the coefficient?
6
Jayden is ordering pizza for a party. The total cost in dollars can be modeled by the expression 12 + 2x, where x is the number of toppings.
In the expression 12 + 2x, _______ represents the cost of the pizza with no toppings.
12
2In the expression 2x4+5x3+7x2+2x+10 what is the quadratic term?
7x2
Write an expression for “5 more than a number n.”
n+5
This is a number multiplied by a variable in an expression.
Coefficient
In the expression 5m + 9, what is the constant?
9
The expression 15 + 0.5m represents the total cost (in dollars) to rent a bike for m miles, where the rental includes a base fee and a per-mile charge. What does 15 represent?
The base fee.
In the expression 2x4+5x3+7x2+2x+10 what is the degree?
4
Write an expression for “twice a number k minus 7.”
2k-7
Terms that have the same variables raised to the same powers are called this.
Like Terms
In the expression 3k – 7, what is the variable?
k
Aaliyah is riding in a taxi. The total cost in dollars is given by 8 + 1.5m, where m is the number of miles traveled.
In the expression 8 + 1.5m, _____ represents the cost per mile.
1.5
In the expression 2x+5
What is the linear term?
Write an expression for “the product of 4 and the sum of a number m and 6.”
4(m+6)
The highest exponent in a term with one variable, or the sum of the exponents in a multi-variable term, is called this.
Degree
In the expression 4x² + 2x – 5, how many terms are there?
3
Malik is selling raffle tickets to raise money for the school dance. The total amount of money he collects can be modeled by 10 + 5t
In the expression 10 + 5t, $10 represents the money he already had, and $5 represents the amount earned from each ticket sold. What does t represent?
The number of tickets sold
In the expression 100x2+2x5+15. What is the degree?
5
Write an expression for “the cost of c concert tickets at $25 each plus a $12 service fee.”
25c+12
This type of term has an exponent of 2 on its variable.
Quadratic Term
In the expression –7ab² + 5a – 4, identify the constant.
-4
Destiny is using a prepaid cell phone plan. The total cost for her plan is modeled by 25 + 10g, where g is the number of gigabytes of data she buys.
In the expression 25 + 10g, _____ represents the monthly base fee.
monthly base fee
In the expression 10x4y5g3+5x3w4+2r9+7x+14 what is the degree?
Write an expression for “five decreased by twice a number.”
5-2x