Learn – Algebra foundations – Like terms, Unlike terms

1 Exercises

Exercises

Problem set

Identify the terms of each of the following expressions.

$x+y$
$a-b$
$3p-q$
$4x+5y$

Problem set

Identify the terms of each of the following expressions.

$3x^2+4x+5$
$9x^2+8x-11$
$5x^2-xy$
$6xy-4x^2$
$10x^{4}-11x^3+7x^2-4x+33$
$-7x^{4}+5x^3-7x^2+11x-5$

Problem set

Simplify the following expressions.

$3x + 4x$
$3x^2+5x^2$
$9x^5 + 3x^5$
$8x^3-2x^3$
$11x^7-6x^7$

Problem set

Simplify the following expressions.

$-2x - 7x$
$100x^3 - 200x^3$
$2x - 7x + 10x$
$2y - 7y + y$
$-100x^2 - 200x^2 + 300x^2$
$-4a^4 - 6a^4 + 10a^4$

Problem set

Simplify the following expressions.

$5x^3 - x^3$
$6a^{10} - a^{10}$
$7p - p$
$8x - x$

Problem set

Simplify the following expressions.

$-a - a$
$x - y -x -y$
$-q - p - p -q$
$-a - 2a - 3a - a$
$-x - 3x + x - 2x$

Problem set

Simplify the following expressions.

$5x^3 + 3x^4$
$10y^5 + 3y^2$
$3a^4 + 4a^3$
$10x^3 + 2y^3$
$10x^3 - 2y^3$

Problem set

Simplify the following expressions.

$4x^2 - 3x$
$9a^3 - 7a^2$
$8x^5 - x^4$
$p^9 - p^5 - p^4$
$x^3 + x^4$
$x^7 - x^4$

Problem set

Simplify the following expressions.

$-2x^3 - 2x^2 + 3x^3 - 5x^2$
$2x^4 - 3x^5 - 5x^4 - 3x^3 - 7x^5 + 7x^3$
$4x^5-3x^3-5x-2x^5-4x^4-2x^3+10x-10$
$2x^4-5x^2-7-3x^3-5x^4-10x^2-5$
$-2a^4-5a^2-10a^5-10+3a^3-7a^4+5a^5+10a^2-a^3-5$

Problem set

Simplify the following expressions.

$2xy - 3y + 2x - 3xy$
$3xy^2+5x^2y+7xy+8x+5y+9$
$3x^2y^2-5x^2y-10yx^2-11x^2-11y^2$
$3xy^2-5x^2y-6y^2x-10yx^2$
$-5ab-8a^2b-6ab-11ab^2+10ba^2+2b^2a$

Problem set

Simplify the following expressions.

$-3x-2-2(3x-5)$
$-(3x+5)-(3x+5)$
$-(3y+5)+(3y+5)$
$-(6a-7)+(6a+7)$
$-2(3x-7)-3(3x-7)$

Problem set

Simplify the following expressions.

$-2(3x-\frac{5}{2})-3(5x-\frac{7}{3})$
$5(3x+\frac{1}{6})+3(\frac{2x}{3}+\frac{1}{4})$
$3x^2-5-3(-5-3x^2)$
$-3x^4-3x^2-3-(3x^4+3x^3+3x^2+3x+3)$
$10x^3+10x-(-10x^4+10x^3-10x^2+10x-10)$