Algebraic Expressions

What are the coefficients of $2x^2-5x+8$ ?

answer choices

2, 8

2, -5

5, 8

2, 2

Which of the following expressions are like terms?

answer choices

$-5x^5y^2z^3,\ \ 5x^4y^6z^3$

$a^4b^2c^9,\ \ -13a^4b^2c^9$

$4x^3y,\ \ \ \ 9x^2y^3$

$p^4r^2s,\ \ p^2r^5s^3$

<math><semantics><mrow><mo>−</mo><mn>5</mn><msup><mi>x</mi><mn>5</mn></msup><msup><mi>y</mi><mn>2</mn></msup><msup><mi>z</mi><mn>3</mn></msup><mo separator="true">,</mo><mtext> </mtext><mn>5</mn><msup><mi>x</mi><mn>4</mn></msup><msup><mi>y</mi><mn>6</mn></msup><msup><mi>z</mi><mn>3</mn></msup></mrow><annotation encoding="application/x-tex">-5x^5y^2z^3,\ \ 5x^4y^6z^3</annotation></semantics></math>−5x5y2z3, 5x4y6z3

alternatives

<math><semantics><mrow><msup><mi>a</mi><mn>4</mn></msup><msup><mi>b</mi><mn>2</mn></msup><msup><mi>c</mi><mn>9</mn></msup><mo separator="true">,</mo><mtext> </mtext><mo>−</mo><mn>13</mn><msup><mi>a</mi><mn>4</mn></msup><msup><mi>b</mi><mn>2</mn></msup><msup><mi>c</mi><mn>9</mn></msup></mrow><annotation encoding="application/x-tex">a^4b^2c^9,\ \ -13a^4b^2c^9</annotation></semantics></math>a4b2c9, −13a4b2c9

<math><semantics><mrow><mn>4</mn><msup><mi>x</mi><mn>3</mn></msup><mi>y</mi><mo separator="true">,</mo><mtext> </mtext><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup><msup><mi>y</mi><mn>3</mn></msup></mrow><annotation encoding="application/x-tex">4x^3y,\ \ \ \ 9x^2y^3</annotation></semantics></math>4x3y, 9x2y3

<math><semantics><mrow><msup><mi>p</mi><mn>4</mn></msup><msup><mi>r</mi><mn>2</mn></msup><mi>s</mi><mo separator="true">,</mo><mtext> </mtext><msup><mi>p</mi><mn>2</mn></msup><msup><mi>r</mi><mn>5</mn></msup><msup><mi>s</mi><mn>3</mn></msup></mrow><annotation encoding="application/x-tex">p^4r^2s,\ \ p^2r^5s^3</annotation></semantics></math>p4r2s, p2r5s3

Determine the constant of the expression $3a+8b-10c-5$ .

answer choices

-10

-5

Identify the variables of the expression $x^5y^2+2a^3b^7+3p^4q^8$ .

answer choices

x, y, a, q, p

a, b, p, x, y

a, b, p, q, x, y

p, q, x, y, a

Which of the following expressions is the like term of $-6x^3y^2z^5$ ?

answer choices

$x^3y^2z^5$

$-6x^2y^5z^3$

$6x^5y^2z^3$

$2x^3y^5z^2$

<math><semantics><mrow><msup><mi>x</mi><mn>3</mn></msup><msup><mi>y</mi><mn>2</mn></msup><msup><mi>z</mi><mn>5</mn></msup></mrow><annotation encoding="application/x-tex">x^3y^2z^5</annotation></semantics></math>x3y2z5

alternatives

<math><semantics><mrow><mo>−</mo><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><msup><mi>y</mi><mn>5</mn></msup><msup><mi>z</mi><mn>3</mn></msup></mrow><annotation encoding="application/x-tex">-6x^2y^5z^3</annotation></semantics></math>−6x2y5z3

<math><semantics><mrow><mn>6</mn><msup><mi>x</mi><mn>5</mn></msup><msup><mi>y</mi><mn>2</mn></msup><msup><mi>z</mi><mn>3</mn></msup></mrow><annotation encoding="application/x-tex">6x^5y^2z^3</annotation></semantics></math>6x5y2z3

<math><semantics><mrow><mn>2</mn><msup><mi>x</mi><mn>3</mn></msup><msup><mi>y</mi><mn>5</mn></msup><msup><mi>z</mi><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">2x^3y^5z^2</annotation></semantics></math>2x3y5z2

What is the constant of the expression $a^3+2a^2-3a+4$ ?

answer choices