Intermediate Algebra

# Practice Test

Intermediate AlgebraPractice Test

### Practice Test

In the following exercises, simplify using absolute values as necessary.

579.

$125 x 9 3 125 x 9 3$

580.

$169 x 8 y 6 169 x 8 y 6$

581.

$72 x 8 y 4 3 72 x 8 y 4 3$

582.

$45 x 3 y 4 180 x 5 y 2 45 x 3 y 4 180 x 5 y 2$

In the following exercises, simplify. Assume all variables are positive.

583.

$216−14216−14$ $−4932−4932$

584.

$−45 −45$

585.

$x − 1 4 · x 5 4 x − 3 4 x − 1 4 · x 5 4 x − 3 4$

586.

$( 8 ​ x 2 3 ​ y − 5 2 x − 7 3 y 1 2 ) 1 3 ( 8 ​ x 2 3 ​ y − 5 2 x − 7 3 y 1 2 ) 1 3$

587.

$48 x 5 − 75 x 5 48 x 5 − 75 x 5$

588.

$27 x 2 − 4 x 12 + 108 x 2 27 x 2 − 4 x 12 + 108 x 2$

589.

$2 12 x 5 · 3 6 x 3 2 12 x 5 · 3 6 x 3$

590.

$4 3 ( 16 3 − 6 3 ) 4 3 ( 16 3 − 6 3 )$

591.

$( 4 − 3 3 ) ( 5 + 2 3 ) ( 4 − 3 3 ) ( 5 + 2 3 )$

592.

$128 3 54 3 128 3 54 3$

593.

$245 x y −4 45 x −4 y 3 245 x y −4 45 x −4 y 3$

594.

$1 5 3 1 5 3$

595.

$3 2 + 3 3 2 + 3$

596.

$−4 · −9 −4 · −9$

597.

$−4 i ( −2 − 3 i ) −4 i ( −2 − 3 i )$

598.

$4 + i 3 − 2 i 4 + i 3 − 2 i$

599.

$i 172 i 172$

In the following exercises, solve.

600.

$2 x + 5 + 8 = 6 2 x + 5 + 8 = 6$

601.

$x + 5 + 1 = x x + 5 + 1 = x$

602.

$2 x 2 − 6 x − 23 3 = x 2 − 3 x + 5 3 2 x 2 − 6 x − 23 3 = x 2 − 3 x + 5 3$

In the following exercise, find the domain of the function graph the function use the graph to determine the range.

603.

$g ( x ) = x + 2 g ( x ) = x + 2$

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