Algebra Concepts and Expressions

Solving for a Variable

3. A rectangle has length

(3 x + 7) cm

and width

(2 x - 1) cm

. What is the area of the rectangle?

K

(5 x + 6) {cm}^{2}

(6 x^{2} + 11 x - 7) {cm}^{2}

(6 x^{2} - 7) {cm}^{2}

(6 x^{2} - 11 x - 7) {cm}^{2}

More examples

Solving by Graphing

Solve the system of equations by graphing:

y = 2 x + 3

and

y = - x + 1

More examples

Arithmetic Operations

Simplify the expression

2 x^{2} + 5 x - 3 + 3 x^{2} - 2 x + 1

More examples

Combining Like Terms

Simplify the expression

3 x - 7 + 2 x + 5

More examples

Simple Exponents

Solve for the value of

x

in the following equation:

2^{x + 3} = 32

More examples

Distributive Property

Simplify the expression

4 x (3 x - 7) + 2 (5 x - 3)

using the distributive property.

More examples

Prime Factorizations

Find the prime factorization of the number 315.

More examples

Finding the Factors

Find the factors of the algebraic expression

2 x^{2} - 5 x - 3

More examples

Finding the LCM of a List of Expressions

Find the Lowest Common Multiple (LCM) of the expressions

2 x^{2} y

8 x y^{2}

, and

16 x^{2} y^{3}

More examples

Finding the LCD of a List of Expressions

Find the least common denominator (LCD) of the list of expressions:

\frac{1}{x^{2} - 4}, \frac{1}{x^{2} - 1}, \frac{1}{x^{2} - 9}

More examples

Determining if the Number is a Perfect Square

Is the number 49 a perfect square?

More examples

Evaluate

Evaluate the expression

5 x^{2} - 3 x + 7

for

x = - 2

More examples

Evaluate the Expression Using the Given Values

Evaluate the expression

2 x^{2} - 3 y + 4 z

when

x = - 1

y = 2

, and

z = - 3

More examples

Evaluating the Difference Quotient

(1 point) State sales tax

y

is directly proportional to retail price

x

. An item that sells for 186 dollars has a sales tax of 10.22 dollars. Find a mathematical model that gives the amount of sales tax

y

in terms of the retail price

x

. Your answer is

y =

What is the sales tax on a 340 dollars purchase. Your answer is:

More examples

Dividing

Points: 0.5 of 1 Use long division to find the quotient

Q (x)

and the remainder

R (x)

when

P (x)

is divided by

d (x)

and express

P (x)

in the form

d (x) \cdot Q (x) + R (x)

\begin{array}{l} P (x) = x^{3} + 2 x^{2} - 9 x + 183 \\ d (x) = x + 7 \end{array}

P (x) = (x + 7)

More examples

Combining

Combine the algebraic expressions:

3 x^{2} + 2 x - 7

and

- 2 x^{2} + 5 x + 4

More examples

Evaluating Radicals

Evaluate the expression

2 \sqrt{8} + 3 \sqrt{18}

More examples

Solving Using the Square Root Property

Solve the equation

x^{2} = 16

using the square root property.

More examples

Determining if True

x = 3

and

y = 2

, is the following statement true?

2 x + 3 y = 12

More examples

Finding the Holes in a Graph

Find the hole in the graph of the function

f (x) = \frac{(x - 2) (x + 3)}{(x - 2) (x + 4)}

More examples

Finding the Common Factors

Find the common factors of the expressions

15 x^{3} y^{2} z

and

45 x^{2} y^{4} z^{2}

More examples

Expand a Trinomial with the Trinomial Theorem

Perform the indicated operations. 3)

3 (4 x + 2 y) (4 x - 6 y)

More examples

Solving for a Variable

Solving by Graphing

Arithmetic Operations

Combining Like Terms

Simple Exponents

Distributive Property

Prime Factorizations

Finding the Factors

Finding the LCM of a List of Expressions

Finding the LCD of a List of Expressions

Determining if the Number is a Perfect Square

Evaluate

Evaluate the Expression Using the Given Values

Evaluating the Difference Quotient

Dividing

Combining

Evaluating Radicals

Solving Using the Square Root Property

Determining if True

Finding the Holes in a Graph

Finding the Common Factors

Expand a Trinomial with the Trinomial Theorem

Popular Problems