Algebraic Thinking Flashcards
(25 cards)
What is a variable?
A symbol used to represent an unknown value in mathematics.
True or False: An expression is a combination of numbers, variables, and operations.
True
Fill in the blank: In the expression 3x + 5, the number 5 is called a ______.
constant
What does the term ‘coefficient’ refer to?
A numerical factor that multiplies a variable.
Which of the following is an example of an equation? A) 2x + 3 B) 2x + 3 = 7 C) 2x + 3 > 7
B) 2x + 3 = 7
What is the main difference between an equation and an inequality?
An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.
True or False: The expression 4x - 2 is an equation.
False
What is the solution of the equation 2x + 4 = 12?
x = 4
Fill in the blank: An ______ is a mathematical sentence that contains an equals sign.
equation
What is the inequality symbol for ‘greater than’?
>
What is a linear equation?
An equation that graphs to a straight line.
True or False: The expression 3x^2 + 2x - 5 is a linear expression.
False
What is the standard form of a linear equation?
Ax + By = C, where A, B, and C are constants.
What is the solution set of the inequality x + 3 < 5?
x < 2
What does it mean to ‘solve an equation’?
To find the value(s) of the variable(s) that make the equation true.
Fill in the blank: An expression without an equals sign is called a ______.
mathematical expression
Which of the following represents a quadratic equation? A) x + 1 = 0 B) x^2 - 4 = 0 C) 2x - 3 < 0
B) x^2 - 4 = 0
What is the solution of the inequality 3x - 5 > 1?
x > 2
True or False: The expression 5y + 3y = 8y is an example of combining like terms.
True
What is the first step in solving the equation 4(x - 2) = 12?
Distribute the 4.
Fill in the blank: The expression 2x + 7 is equivalent to ______ when x = 3.
13
What does it mean if an inequality has no solution?
There are no values for the variable that satisfy the inequality.
What type of graph represents an inequality in two variables?
A shaded region in a coordinate plane.
True or False: The expression 7 = 7 is an example of an identity.
True
