Combining Like Terms — Definition & Examples
Read this topicExplanations 3
- (Video) Simplifying Polynomials by Math Antics Here's a great video by mathantics that covers combining like terms. Summary\large{\text{Summary}}Summary Like terms are terms tha…
By Alex Federspiel, Zora Gilbert, Eunji Kwon, Jonathan Heller, Joshua Siktar
- (Video) Combining Like Terms by Friendly Math 101 Here's a video by Friendly Math 101 that explains how to combine like terms. Summary\large{\text{Summary}}Summary Like terms ar…
By Alex Federspiel, Eunji Kwon, Jonathan Heller, Caroline K
- What Are Like Terms? Like terms have the same variable raised to the same power. The coefficients of these terms do not have to be the same! For example, 4x24x^24x2 and 3x23x^23…
By Caroline K, Alex Federspiel, Jonathan Heller
Problems 36
- Simplify the expression by combining like terms. 8x2+9x2+3x+6x+48x^2+9x^2+3x+6x+48x2+9x2+3x+6x+4
- Simplify the expression by combining like terms. 3x3+x2+6x+6x2+9+5x3+7+7x3x^3+x^2+6x+6x^2+9+5x^3+7+7x3x3+x2+6x+6x2+9+5x3+7+7x
- Simplify the expression by combining like terms. 6xy+6x2y+5yx6xy+6x^2y+5yx6xy+6x2y+5yx
- Simplify the expression by combining like terms. 9x2y+3xy+2yx+3y2x9x^2y+3xy+2yx+3y^2x9x2y+3xy+2yx+3y2x
- Simplify the expression by combining like terms. 6(x+2)+4(8−2x)6(x+2)+4(8-2x)6(x+2)+4(8−2x)
- Mark all pairs of like terms below.
- What are like terms?
- Do the coefficients have to be the same for like terms?
- Group like terms in the expression 4x3+4x+4+5x+5x34x^3+4x+4+5x+5x^34x3+4x+4+5x+5x3.
- What is a term?
- How many terms are in the following polynomial? 74x4+5+6x2+7x74x^4+5+6x^2+7x74x4+5+6x2+7x
- Combine like terms in the following expression: xy+(xy2)(xy2)+(xy3)(xy3)(xy3)x^{y}+(x^{\frac{y}{2}})(x^{\frac{y}{2}})+(x^{\frac{y}{3}})(x^{\frac{y}{3}})(x^{\frac{y}{3}})xy+(x2y…
- Combine like terms if y=xy=xy=x: x−2xz+y−yz.x-2xz+y-yz.x−2xz+y−yz. Mark all equivalent expressions (given that y=xy=xy=x).
- If x=yx=yx=y, mark all terms below that can be combined with xyzxyzxyz.
- Some common statistics in basketball are points, rebounds, and assists. If Stephen Curry has 333333 points, 555 rebounds and 777 assists, and Kevin Durant has 404040 points, 121…
- Combine like terms in the following expression. 3x+14−2π+0.1−34x+π3x+14-2\pi+0.1-\frac{3}{4}x+\pi3x+14−2π+0.1−43x+π
- If 333 "schmurkles" make a "schmorkle", and 444 "schmackles" make a "schmyckle" and I have 444 schmurkles, 333 schmorkles, 999 schmackles and 222 schmyckles, can you express wha…
- Simplify the expression by combining like terms. 8x+1+2x8x+1+2x8x+1+2x
- Simplify by combining like terms. 6x+x2+2x+3x2+2+26x+x^2+2x+3x^2+2+26x+x2+2x+3x2+2+2
- Simplify by combining like terms. 2xy+4x2y+6yx+3yx22xy+4x^2y+6yx+3yx^22xy+4x2y+6yx+3yx2
- Simplify by combining like terms. x+y+z+x+y+z+x+x+y+x+zx+y+z+x+y+z+x+x+y+x+zx+y+z+x+y+z+x+x+y+x+z
- Simplify by combining like terms. 3x+6+2y+4+4x+7y3x+6+2y+4+4x+7y3x+6+2y+4+4x+7y
- Write x25+x5\frac{x^2}{5}+\frac x55x2+5x as a single fraction.
- x28+3x24=?\frac{x^2}{8}+\frac{3x^2}{4} = ?8x2+43x2=?
- Can we combine any like terms in x2+2xx^2 + 2xx2+2x?
- A.2xB.2yC.y+4yD.x22A. 2x\\ B. 2y \\ C. y + 4y\\ D. \frac{x^2}{2}\\A.2xB.2yC.y+4yD.2x2 Which of these terms can be combined?
- Can we combine any like terms in x3+3x\frac{x}{3}+\frac{3}{x}3x+x3?
- Simplify x2+y2+y1+4y1+x+x2x^2 + y^2 + y^1 + 4y^1 + \frac{x+x}{2}x2+y2+y1+4y1+2x+x by combining like terms.
- What is x+2x2+3x3+⋯+100x100x+2x^2+3x^3+\cdots+100x^{100}x+2x2+3x3+⋯+100x100?
- Simplify the expression by combining like terms. (4−x3−2x)+(18+9x2−x3)+(x+4x−9x2)(4-x^3-2x)+(18+9x^2-x^3)+(x+4x-9x^2)(4−x3−2x)+(18+9x2−x3)+(x+4x−9x2)
- Simplify by combining like terms. xy+yxy+yxy+y
- Simplify by combining like terms. xy+3yxxy+3yxxy+3yx
- Simplify by combining like terms. x+2y+3z+4x+5y+6zx+2y+3z+4x+5y+6zx+2y+3z+4x+5y+6z
- Simplify by combining like terms. 12x−5×16+44x12x-5\times16+44x12x−5×16+44x
- Simplify the expression by combining like terms: x3+3x3+6x2+3x2+x2+6x+2x+1−1x^3 + 3x^3 + 6x^2 + 3x^2 + x^2 + 6x + 2x + 1 - 1x3+3x3+6x2+3x2+x2+6x+2x+1−1
- Simplify the expression by combining like terms: −3x2+x2+7x+1−17-3x^2 + x^2 + 7x + 1 -17−3x2+x2+7x+1−17