Writing Expressions
Write "The sum of 9 and 2 of a number" as an algebraic expression.
9+2n
Identify the hypothesis and conclusion of the following statement: "If x is a whole number, then x is an integer."
Hypothesis: "x is a whole number"
Conclusion: "x is an integer"
Evaluate
3+10divide2
8
Solve for the variable using the given replacement set:
3m=15
{0,3,5}
m=5
Write
4x-1
as a verbal expression.
Identify the hypothesis and conclusion of the following statement: "An angle is acute if it is less than 90 degrees"
Hypothesis: "an angle is less than 90 degrees"
Conclusion: "it is acute"
Evaluate
3(2+1^2)
9
Solve for the variable using the given replacement set:
5x+2=17
{3,4,5}
x=3
Write "the quotient of a number squared and 20" as an algebraic expression.
(n^2)/20
Provide a counterexample to prove that the following conditional statement is false: "If you own a dog, then it is a husky."
You own a dog that is any other breed than a husky.
Evaluate
(3^2-1)/(2(3+1))
1
Solve for the variable using the given replacement set:
10x-1=49
{0,5,10}
x=5
Write
(n+1)/2
as a verbal expression.
The quotient of 1 more than a number and 2.
Provide a counterexample to prove that the following conditional statement is false: "If a number is positive, then it can be divided evenly by two."
Any positive number that is not divisible by 2: 3, 7, 15, etc.
Solve for the variable
w=[2(10-6divide3)]+1
w=17
Solve for the variable using the given replacement set:
9x<27
{1,2,3}
x={1,2}
Write
3a^3-b
as a verbal expression.
The difference of 3 of a cubed and b.
Provide a counterexample to prove that the following conditional statement is false: If
2x+6le12
then
x<3
x=3
Solve for the variable
3^2+(10+2^3)/(9)=x
11=x
Solve for the variable using the given replacement set:
2b+2>4
{0,1,2}
b=2