4.01 Representing algebraic expressions
State the definition of a variable.
Consider the expression 8 x.
Identify the numerical part of the expression.
What is the numerical part of the term called?
What does the expression 4 x mean?
Identify the constant term and variable term in the expression 9 x + 8.
Write the expression 7 \times u in simplest form.
Write a single term that represents the expression v + v + v + v.
Using the given key, write an algebraic expression to represent the total number of oranges in each of the following diagrams:
Using the given key, write an algebraic expression to represent the total number of apples in each of the following diagrams:
Xanthe is selling some oranges in boxes and some oranges individually. The key is provided to show how many oranges each box represents:
Write an algebraic expression to represent the total number of oranges Xanthe is selling in the following diagram:
The expression a \times 2 represents the number of competitions Christa is expected to win in 2 months if she wins an average of a competitions a month.
State the type of expression represented by a \times 2.
The expression \dfrac{a}{5} represents the average number of LCD monitors in each room of a particular office.
State the type of expression represented by \dfrac{a}{5}.
How many terms does the expression have?
The expression 11 a represents the total number of candies in a packets if each packet contains 11 candies.
State the type of expression represented by 11 a.
What are the factors in the expression?
For each of the following:
Find the type of expression represented.
Find the number of terms the expression has.
Identify the constant term.
The expression 9 + n represents 9 more than the number of points, n, scored by the opposition team in a basketball game.
The expression a - 1 represents one less than the number of points, a, scored by the home team in a basketball game.
The expression \dfrac{m}{5} represents the number of chocolates, m, shared evenly by 5 children.
The expression 2r represents twice the number of chocolates, r, distributed to the children.
The expression \dfrac{x}{5} represents the average earnings of a family of five when they make a combined total of \$x in a year.
What type of expression does \dfrac{x}{5} represent?
Determine whether each of the following expressions is equivalent to \dfrac{x}{5}:
\dfrac{5}{x}
\dfrac{1}{5} \times x
\dfrac{1}{5 \times x}
\dfrac{1}{x} \times 5
Write an algebraic expression for each of the following statements:
7 multiplied by x
8 more than 5 x
3 less than 8 y
The product of 9 u and 8
The quotient of 8 u and 9
Four times y take away 9
8 more than the quotient of 9 and x
The difference of a and b, divided by 6