Test Flashcards
Test
What is an algebraic expression?
An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols.
True or False: An equation is a statement that two expressions are equal.
True
Fill in the blank: A variable represents a _____ in algebra.
quantity
What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?
3
What is the coefficient of x in the expression 5x + 3?
5
Which of the following is a linear equation? (a) x^2 + 2x = 0 (b) 3x + 4 = 7 (c) x^3 - x = 5
b
What is the solution to the equation 2x + 3 = 11?
x = 4
True or False: The expression 2(x + 3) is equivalent to 2x + 6.
True
What do you call a polynomial with only one term?
Monomial
What is the value of x in the equation 5x - 10 = 0?
2
Fill in the blank: The process of finding the value of a variable that makes an equation true is called _____ the equation.
solving
What is the result of simplifying the expression 3(2x + 4) - 2x?
4x + 12
What is a quadratic equation?
A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0.
What is the first step to solve the equation 3(x - 4) = 6?
Distribute the 3.
True or False: The expression 7 - (3x + 2) simplifies to 5 - 3x.
True
What is the formula for the quadratic equation?
x = (-b ± √(b² - 4ac)) / 2a
Which operation is performed last when simplifying the expression 2 + 3x - 4?
Addition
What is the sum of the coefficients in the polynomial 2x^2 + 3x - 5?
0
Fill in the blank: The expression x^2 + 5x + 6 can be factored as _____ .
(x + 2)(x + 3)
What is the solution to the equation x/2 + 3 = 7?
x = 8
True or False: The expression 4x + 5 = 9 has one solution.
True
What do you call the highest power of a variable in a polynomial?
Degree
What is an example of a rational expression?
1/(x + 1)
What is the first step to solve the equation 4(x - 1) = 2x + 6?
Distribute the 4.
