Algebra Assessments

Algebra Basics Quiz

This algebra basics quiz consists of 10 multiple-choice questions randomly selected from a set of 25.

The quiz covers fundamental concepts in algebra, including solving linear equations, understanding the properties of numbers and expressions, and recognizing the structure of polynomials and their characteristics. Questions delve into calculating variable values, applying the commutative and distributive properties, identifying the slope and intercepts of linear functions, and working with polynomial terms and degrees.

Solving linear equations
Properties of addition and multiplication (commutative and distributive properties)
Multiplication of negative and positive numbers
Understanding and calculating the slope of a line
Function evaluation
Characteristics of algebraic expressions (binomials, monomials)
Solutions of quadratic equations
Basic arithmetic operations with polynomials (addition, subtraction, expansion)
Determining the degree of a polynomial
Slope-intercept form of a line
Identifying constant terms in polynomials
Understanding reciprocal relationships and solving related equations

1 / 10

1. What is the term for a number that multiplies a variable in an algebraic expression?

A. Constant

B. Exponent

C. Operator

D. Coefficient

2 / 10

2. What are the values of $x$ in the equation $x^2-4x+4=0$ ?

A. -2 and 2

B. 2 and 2

C. 0 and 4

D. 1 and 4

3 / 10

3. What is the algebraic term for an equation that shows the relationship between two expressions that are equal to each other?

A. Function

B. Inequality

C. Equation

D. Identity

4 / 10

4. In the expression $7x^3-4x^2+3x-5$ , what is the constant term?

A. -5

B. 7

C. -4

D. 3

5 / 10

5. What is the value of the variable $x$ in the equation $3x+5=20$ ?

A. 15

B. 10

C. 20

D. 5

6 / 10

6. What is the result of subtracting $5x^2$ from $3x^2$ ?

2x^2

2x^4

C. -

2x^2

8x^2

7 / 10

7. What is the degree of a polynomial?

A. The highest power of the variable in the polynomial

B. The sum of all the exponents in the polynomial

C. The coefficient of the leading term

D. The number of terms in the polynomial

8 / 10

8. What does the quadratic formula $\frac{\text{-}b\pm \sqrt{b^2-4ac}}{2a}$ calculate?

A. The area under a curve

B. The maximum or minimum of a parabola

C. The solutions of a quadratic equation

D. The slope of a line

9 / 10

9. In algebra, what is the process of writing an expression without parentheses or exponents called?

A. Simplifying

B. Evaluating

C. Factoring

D. Expanding

10 / 10

10. What is the product of $\text{-}3 \text{ and }4$ ?

A. -12

B. 7

C. -7

D. 12

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Algebra Assessments

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