translate expressions from words
Translate the phrase "five more than a number" into an algebraic expression.
5 + n
Solve for x: 2x + 3 = 9
3
Define what a coefficient is in relation to algebra.
A value, in mathematics, that appears in front of and multiplies another value
Solve the inequality: x + 4 < 10
x < 6
Express the phrase "twice a number increased by 3" as an algebraic expression.
2x + 3
Find the value of y: y - 5 = 8
13
Explain the term "variable" when used in algebra.
A variable is an unknow number.
Find the solution for y in the inequality: 2y - 5 ≥ 7
y ≥ 6
Write an algebraic expression for "three less than twice a number plus 5."
(3 - 2x) + 5
Solve the equation for z: 3z + 7 = 16
3
Define what an expression is in mathematics.
An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.
Solve the inequality for z: 3z + 2 > 11
z > 3
Turn the words "the sum of a number and 8" into an algebraic expression.
n + 8
Determine the solution for x in the equation: 4x - 10 = 18
7
What is the meaning of the term "constant" in algebraic expressions?
Constant: it is a fixed numerical value.
Determine the solution for x: 2x - 8 ≤ 12
x ≤ 10
What is the algebraic expression for "four times a number decreased by 2"?
4x - 2
What is the value of t: 2t + 4 = 12
4
Explain the concept of an equation in mathematics.
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.
What is the solution to the inequality: 4y + 3 < 19
y < 4