Elementary Algebra 2e

# Practice Test

### Practice Test

752.

For the polynomial $10x4+9y2−110x4+9y2−1$
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.

$( − 2 5 ) 3 ( − 2 5 ) 3$

756.

$u · u 4 u · u 4$

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.

$3 8 3 10 3 8 3 10$

768.

$( m 4 · m m 3 ) 6 ( m 4 · m m 3 ) 6$

769.

$( 87 x 15 y 3 z 22 ) 0 ( 87 x 15 y 3 z 22 ) 0$

770.

$80 c 8 d 2 16 c d 10 80 c 8 d 2 16 c d 10$

771.

$12 x 2 + 42 x − 6 2 x 12 x 2 + 42 x − 6 2 x$

772.

$( 70 x y 4 + 95 x 3 y ) ÷ 5 x y ( 70 x y 4 + 95 x 3 y ) ÷ 5 x y$

773.

$64 x 3 − 1 4 x − 1 64 x 3 − 1 4 x − 1$

774.

$( y 2 − 5 y − 18 ) ÷ ( y + 3 ) ( y 2 − 5 y − 18 ) ÷ ( y + 3 )$

775.

$5 −2 5 −2$

776.

$( 4 m ) −3 ( 4 m ) −3$

777.

$q −4 · q −5 q −4 · q −5$

778.

$n −2 n −10 n −2 n −10$

779.

Convert 83,000,000 to scientific notation.

780.

Convert $6.91×10−56.91×10−5$ to decimal form.

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

781.

$( 3.4 × 10 9 ) ( 2.2 × 10 −5 ) ( 3.4 × 10 9 ) ( 2.2 × 10 −5 )$

782.

$8.4 × 10 −3 4 × 10 3 8.4 × 10 −3 4 × 10 3$

783.

A helicopter flying at an altitude of 1000 feet drops a rescue package. The polynomial $−16t2+1000−16t2+1000$ gives the height of the package $tt$ seconds a after it was dropped. Find the height when $t=6t=6$ seconds.

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