10.9.2: Practice Test

Practice Test

626.

For the polynomial $8y^4-3y^2+$

1. ⓐ Is it a monomial, binomial, or trinomial?
2. ⓑ What is its degree?

In the following exercises, simplify each expression.

627.

$(5a^2+2a-12)+(9a^2+8a-4)$

628.

$(10x^2-3x+5)-(4x^2-6)$

629.

${\left(-\frac{3}{4}\right)}^3$

630.

$n·n^4$

631.

${(10p^3{q}^5)}^2$

632.

$(8x{y}^3)(\mathrm{-6}{x}^4{y}^6)$

633.

$4u(u^2-9u+1)$

634.

$\left(s+8\right)\left(s+9\right)$

635.

$(m+3)(7m-2)$

636.

$\left(11a-6\right)\left(5a-1\right)$

637.

$(n-8)(n^2-4n+11)$

638.

$(4a+9b)(6a-5b)$

639.

$\frac{5^6}{5^8}$

640.

${\left(\frac{x^3·x^9}{x^5}\right)}^2$

641.

${(47a^{18}{b}^{23}{c}^5)}^0$

642.

$\frac{24r^{3}s}{6r^2{s}^7}$

643.

$\frac{8y^2-16y+20}{4y}$

644.

$(15x{y}^3-35x^{2}y)÷5xy$

645.

$4^{\mathrm{-1}}$

646.

${\left(2y\right)}^{\mathrm{-3}}$

647.

$p^{\mathrm{-3}}·p^{\mathrm{-8}}$

648.

$\frac{x^4}{x^{\mathrm{-5}}}$

In the following exercises, factor the greatest common factor from each polynomial.

649.

$80a^3+120a^2+40a$

650.

$\mathrm{-6}{x}^2-30x$

651.

According to www.cleanair.org, the amount of trash generated in the US in one year averages out to $\mathrm{112,000}$ pounds of trash per person. Write this number in scientific notation.

652.

Convert $5.25\times {10}^{\mathrm{-4}}$ to decimal form.

In the following exercises, simplify, and write your answer in decimal form.

653.

$\left(2.4\times {10}^8\right)\left(2\times {10}^{\mathrm{-5}}\right)$

654.

$\frac{9\times {10}^4}{3\times {10}^{\mathrm{-1}}}$

655.

A hiker drops a pebble from a bridge $240$ feet above a canyon. The polynomial $\mathrm{-}16t^2+240$ gives the height of the pebble $t$ seconds a after it was dropped. Find the height when $t=3.$