6.02 Building algebraic expressions
For each of the following terms, choose the correct definition from the options below:
Pronumeral
Coefficient
Expression
A numeral that is placed before and multiplies a pronumeral in an algebraic term
A way to express a mathematical value that involves pronumerals
A symbol, commonly a letter, that is used in the place of a numeric value
State the coefficient in the following terms:
4 x
- 4 y
6 y
- 6 y
0.5 m
8ab
9z
-101pqr
\dfrac{4h}{3}
-i
\dfrac{-f}{5}
\pi r
State the constant term in the following expressions:
u + 11
a - 11
3 n
5 x + 8
8 y - 3
\dfrac{p}{6} - 7
10a - 12b + 7c -2
3xy+5+4y-x
14-20ab+4a
15v +8y+2uv- 30
State the number of terms in the following expressions:
-2x
7y + 1
1024
ab + 18
\dfrac{j}{2} + k
\dfrac{m}{5} + \dfrac{n}{3} + 21
8xy+4 - 12y
5x - 7y + 8xyz - 12
For each of the following terms, choose the correct definition from the options below:
Sum
Product
Difference
Quotient
Factor
Term
The result of multiplying two or more values or algebraic expressions.
The result of dividing a value or algebraic expression by another.
A single component of a product.
The result of adding two or more values or algebraic expressions.
A single component of a sum or subtraction.
The result of subtracting a value or algebraic expression from another.
Write an algebraic expression for each of the following statements:
Seven multiplied by x
Eight more than 5 x
Three 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
Write an algebraic expression for each of the following statements:
Five times the sum of x and ten
Three groups of the sum of a and b
Seven groups of the difference between n and 8, then increased by 4
Eleven more than the product of 4 and the difference between m and 9
Write a word statement for each of the following expressions:
Write a word statement for each of the following expressions:
For each of the following expressions:
State the order in which the operations should be performed.
Hence, simplify the expression.