Intermediate Algebra

# Practice Test

Intermediate AlgebraPractice Test

### Practice Test

487.

For the polynomial $8y4−3y2+18y4−3y2+1$

Is it a monomial, binomial, or trinomial? What is its degree?

488.

$(5a2+2a−12)(9a2+8a−4)(5a2+2a−12)(9a2+8a−4)$

489.

$(10x2−3x+5)−(4x2−6)(10x2−3x+5)−(4x2−6)$

490.

$(−34)3(−34)3$

491.

$x−3x4x−3x4$

492.

$56585658$

493.

$(47a18b23c5)0(47a18b23c5)0$

494.

$4−14−1$

495.

$(2y)−3(2y)−3$

496.

$p−3·p−8p−3·p−8$

497.

$x4x−5x4x−5$

498.

$(3x−3)2(3x−3)2$

499.

$24r3s6r2s724r3s6r2s7$

500.

$(x4y9x−3)2(x4y9x−3)2$

501.

$(8xy3)(−6x4y6)(8xy3)(−6x4y6)$

502.

$4u(u2−9u+1)4u(u2−9u+1)$

503.

$(m+3)(7m−2)(m+3)(7m−2)$

504.

$(n−8)(n2−4n+11)(n−8)(n2−4n+11)$

505.

$(4x−3)2(4x−3)2$

506.

$(5x+2y)(5x−2y)(5x+2y)(5x−2y)$

507.

$(15xy3−35x2y)÷5xy(15xy3−35x2y)÷5xy$

508.

$(3x3−10x2+7x+10)÷(3x+2)(3x3−10x2+7x+10)÷(3x+2)$

509.

Use the Factor Theorem to determine if $x+3x+3$ a factor of $x3+8x2+21x+18.x3+8x2+21x+18.$

510.

Convert 112,000 to scientific notation. Convert $5.25×10−45.25×10−4$ to decimal form.

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

511.

$(2.4×108)(2×10−5)(2.4×108)(2×10−5)$

512.

$9×1043×10−19×1043×10−1$

513.

For the function $f(x)=6x2−3x−9f(x)=6x2−3x−9$ find:
$f(3)f(3)$ $f(−2)f(−2)$ $f(0)f(0)$

514.

For $f(x)=2x2−3x−5f(x)=2x2−3x−5$ and $g(x)=3x2−4x+1,g(x)=3x2−4x+1,$ find
$(f+g)(x)(f+g)(x)$ $(f+g)(1)(f+g)(1)$
$(f−g)(x)(f−g)(x)$ $(f−g)(−2)(f−g)(−2)$

515.

For functions
$f(x)=3x2−23x−36f(x)=3x2−23x−36$ and
$g(x)=x−9,g(x)=x−9,$ find
$(fg)(x)(fg)(x)$ $(fg)(3)(fg)(3)$

516.

A hiker drops a pebble from a bridge 240 feet above a canyon. The function $h(t)=−16t2+240h(t)=−16t2+240$ gives the height of the pebble $tt$ seconds after it was dropped. Find the height when $t=3.t=3.$