Contents

Practice Test

752.

For the polynomial $10 x^{4} + 9 y^{2} - 1 10 x^{4} + 9 y^{2} - 1$
ⓐ Is it a monomial, binomial, or trinomial?
ⓑ What is its degree?

In the following exercises, simplify each expression.

753.

$(12 a^{2} - 7 a + 4) + (3 a^{2} + 8 a - 10) (12 a^{2} - 7 a + 4) + (3 a^{2} + 8 a - 10)$

754.

$(9 p^{2} - 5 p + 1) - (2 p^{2} - 6) (9 p^{2} - 5 p + 1) - (2 p^{2} - 6)$

755.

${(- \frac{2}{5})}^{3} {(- \frac{2}{5})}^{3}$

756.

$u \cdot u^{4} u \cdot u^{4}$

757.

${(4 a^{3} b^{5})}^{2} {(4 a^{3} b^{5})}^{2}$

758.

$(−9 r^{4} s^{5}) (4 r s^{7}) (−9 r^{4} s^{5}) (4 r s^{7})$

759.

$3 k (k^{2} - 7 k + 13) 3 k (k^{2} - 7 k + 13)$

760.

$(m + 6) (m + 12) (m + 6) (m + 12)$

761.

$(v - 9) (9 v - 5) (v - 9) (9 v - 5)$

762.

$(4 c - 11) (3 c - 8) (4 c - 11) (3 c - 8)$

763.

$(n - 6) (n^{2} - 5 n + 4) (n - 6) (n^{2} - 5 n + 4)$

764.

$(2 x - 15 y) (5 x + 7 y) (2 x - 15 y) (5 x + 7 y)$

765.

$(7 p - 5) (7 p + 5) (7 p - 5) (7 p + 5)$

766.

${(9 v - 2)}^{2} {(9 v - 2)}^{2}$

767.

$\frac{3^{8}}{3^{10}} \frac{3^{8}}{3^{10}}$

768.

${(\frac{m^{4} \cdot m}{m^{3}})}^{6} {(\frac{m^{4} \cdot m}{m^{3}})}^{6}$

769.

${(87 x^{15} y^{3} z^{22})}^{0} {(87 x^{15} y^{3} z^{22})}^{0}$

770.

$\frac{80 c^{8} d^{2}}{16 c d^{10}} \frac{80 c^{8} d^{2}}{16 c d^{10}}$

771.

$\frac{12 x^{2} + 42 x - 6}{2 x} \frac{12 x^{2} + 42 x - 6}{2 x}$

772.

$(70 x y^{4} + 95 x^{3} y) \div 5 x y (70 x y^{4} + 95 x^{3} y) \div 5 x y$

773.

$\frac{64 x^{3} - 1}{4 x - 1} \frac{64 x^{3} - 1}{4 x - 1}$

774.

$(y^{2} - 5 y - 18) \div (y + 3) (y^{2} - 5 y - 18) \div (y + 3)$

775.

$5^{−2} 5^{−2}$

776.

${(4 m)}^{−3} {(4 m)}^{−3}$

777.

$q^{−4} \cdot q^{−5} q^{−4} \cdot q^{−5}$

778.

$\frac{n^{−2}}{n^{−10}} \frac{n^{−2}}{n^{−10}}$

779.

Convert 83,000,000 to scientific notation.

780.

Convert $6.91 \times 10^{−5} 6.91$ to decimal form.

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

781.

$(3.4 \times 10^{9}) (2.2 \times 10^{−5}) (3.4) (2.2)$

782.

$\frac{8.4 \times 10^{−3}}{4 \times 10^{3}} \frac{8.4}{4}$

783.

A helicopter flying at an altitude of 1000 feet drops a rescue package. The polynomial $−16 t^{2} + 1000 −16 t^{2} + 1000$ gives the height of the package $t t$ seconds a after it was dropped. Find the height when $t = 6 t = 6$ seconds.