Question 1

Identify the polynomial as a 
-$17 x^{2}$

Accepted Answer

A)  Binomial 
B)  Trinomial 
C)  Monomial 
A)  Binomial 
B)  Trinomial 
C)  Monomial C

Question 2

Convert the given number to scientific notation
-0.000046719

Accepted Answer

A)  $4.6719 \times 10^{-4}$ 
B)  $4.6719 \times 10^{5}$ 
C)  $4.6719 \times 10^{4}$ 
D)  $4.6719 \times 10^{-5}$ 
A)  $4.6719 \times 10^{-4}$ 
B)  $4.6719 \times 10^{5}$ 
C)  $4.6719 \times 10^{4}$ 
D)  $4.6719 \times 10^{-5}$ D

Question 3

Factor completely. If the polynomial cannot be factored, write "prime."
-$x^{3}-3 x^{2}-9 x+27$

Accepted Answer

A)  $\left(x^{2}+9\right)(x-3)$ 
B)  $(x+3)^{2}(x-3)$ 
C)  $(x+9)\left(x^{2}-3\right)$ 
D)  $(x-3)^{2}(x+3)$ 
A)  $\left(x^{2}+9\right)(x-3)$ 
B)  $(x+3)^{2}(x-3)$ 
C)  $(x+9)\left(x^{2}-3\right)$ 
D)  $(x-3)^{2}(x+3)$ D

Question 4

Simplify. (A ssume all variables are nonzero.)
-$\frac{15 x^{8} y^{4} z^{7}}{3 x^{4} y^{4} z^{2}}$

Accepted Answer

A)  $5 x^{32} z^{14}$ 
B)  $12 x^{4} z^{5}$ 
C)  $5 x^{12} z^{9}$ 
D)  $5 x^{4} z^{5}$ 
A)  $5 x^{32} z^{14}$ 
B)  $12 x^{4} z^{5}$ 
C)  $5 x^{12} z^{9}$ 
D)  $5 x^{4} z^{5}$

Question 5

Evaluate the given function
-$g(x)=x^{5}, g(8)$

Accepted Answer

A)  40 
B)  $8 x^{5}$ 
C)  $x^{40}$ 
D)  32,768 
A)  40 
B)  $8 x^{5}$ 
C)  $x^{40}$ 
D)  32,768

Question 6

Find the special product using the appropriate formula
-$(3 \mathrm{x}-12)(3 \mathrm{x}+12)$

Accepted Answer

A)  $9 x^{2}-72 x-144$ 
B)  $3 x^{2}+72 x-144$ 
C)  $9 x^{2}-144$ 
D)  $9 x^{2}+72 x-144$ 
A)  $9 x^{2}-72 x-144$ 
B)  $3 x^{2}+72 x-144$ 
C)  $9 x^{2}-144$ 
D)  $9 x^{2}+72 x-144$

Question 7

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
-$\frac{t^{6}}{t^{8}}$

Accepted Answer

A)  $\frac{t^{6}}{t^{2}}$ 
B)  $t^{2}$ 
C)  $\frac{1}{t^{2}}$ 
D)  $t^{-8}$ 
A)  $\frac{t^{6}}{t^{2}}$ 
B)  $t^{2}$ 
C)  $\frac{1}{t^{2}}$ 
D)  $t^{-8}$

Question 8

For the given quadratic equation, one of its solutions has been provided. Use it to find the other solution.
-$40 \mathrm{x}^{2}-92 \mathrm{x}-20=0, \mathrm{x}=\frac{5}{2}$

Accepted Answer

A)  $x=\frac{1}{5}$ 
B)  $x=5$ 
C)  $x=-\frac{5}{2}$ 
D)  $x=-\frac{1}{5}$ 
A)  $x=\frac{1}{5}$ 
B)  $x=5$ 
C)  $x=-\frac{5}{2}$ 
D)  $x=-\frac{1}{5}$

Question 9

$(\mathrm{x}+4)\left(\mathrm{x}^{2}-\mathrm{x}+7\right)$

Accepted Answer

A)  $x^{3}+5 x^{2}+11 x+28$ 
B)  $x^{3}+3 x^{2}+3 x+28$ 
C)  $x^{3}+28$ 
D)  $x^{3}+3 x^{2}+28$ 
A)  $x^{3}+5 x^{2}+11 x+28$ 
B)  $x^{3}+3 x^{2}+3 x+28$ 
C)  $x^{3}+28$ 
D)  $x^{3}+3 x^{2}+28$

Question 10

Find a quadratic equation with integer coefficients that has the given solution set.
-$\{-3,7\}$

Accepted Answer

A)  $x^{2}-4 x-21=0$ 
B)  $x^{2}+4 x-21=0$ 
C)  $x^{2}+7 x-3=0$ 
D)  $x^{2}-4 x+21=0$ 
A)  $x^{2}-4 x-21=0$ 
B)  $x^{2}+4 x-21=0$ 
C)  $x^{2}+7 x-3=0$ 
D)  $x^{2}-4 x+21=0$

Question 11

Simplify. (A ssume all variables are nonzero.)
-$-3^0$

Accepted Answer

A)  -3 
B)  1 
C)  0 
D)  - 1 
A)  -3 
B)  1 
C)  0 
D)  - 1

Question 12

Factor the GCF out of the given expression.
-$-4 x^{3}-8 x^{2}+6 x$

Accepted Answer

A)  $-4 x\left(x^{2}+2 x-3\right)$ 
B)  $-2 x\left(2 x^{2}-4 x+3\right)$ 
C)  $-2\left(2 x^{3}+4 x^{2}-3 x\right)$ 
D)  $-2 x\left(2 x^{2}+4 x-3\right)$ 
A)  $-4 x\left(x^{2}+2 x-3\right)$ 
B)  $-2 x\left(2 x^{2}-4 x+3\right)$ 
C)  $-2\left(2 x^{3}+4 x^{2}-3 x\right)$ 
D)  $-2 x\left(2 x^{2}+4 x-3\right)$

Question 13

Find the missing monomial, factor or term.
-$?\left(-7 y^{2}+5 y+6\right)=21 y^{3}-15 y^{2}-18 y$

Accepted Answer

A)  $-3 y^{2}$ 
B)  $-3 y^{3}$ 
C)  $-3 y$ 
D)  $21 \mathrm{y}$ 
A)  $-3 y^{2}$ 
B)  $-3 y^{3}$ 
C)  $-3 y$ 
D)  $21 \mathrm{y}$

Question 14

Find the special product using the appropriate formula
-$(x+11)^{2}$

Accepted Answer

A)  $x+121$ 
B)  $x^{2}+22 x+121$ 
C)  $x^{2}+121$ 
D)  $121 x^{2}+22 x+121$ 
A)  $x+121$ 
B)  $x^{2}+22 x+121$ 
C)  $x^{2}+121$ 
D)  $121 x^{2}+22 x+121$

Question 15

Determine whether the simplified version of the given expression would be a
-$\left(5 x^{2}+2 x+1\right) \cdot\left(2 x^{2}-8 x+9\right)$

Accepted Answer

A)  trinomial 
B)  binomial 
C)  polynomial with four or more terms 
A)  trinomial 
B)  binomial 
C)  polynomial with four or more terms

Question 16

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
-$\frac{p^{3}}{p^{-5}}$

Accepted Answer

A)  $p^{8}$ 
B)  $p^{2}$ 
C)  $\frac{1}{\mathrm{p}^{2}}$ 
D)  $\frac{1}{p^{8}}$ 
A)  $p^{8}$ 
B)  $p^{2}$ 
C)  $\frac{1}{\mathrm{p}^{2}}$ 
D)  $\frac{1}{p^{8}}$

Question 17

Evaluate the polynomial or polynomial function for the given value of the variable.
-$x^{2}-5 x+3$ for $x=3$

Accepted Answer

A)  -3 
B)  -9 
C)  27 
D)  21 
A)  -3 
B)  -9 
C)  27 
D)  21

Question 18

Choose the polynomial that has the given factor.
-$x+7$

Accepted Answer

A)  $x^{3}+7 x^{2}-28$ 
B)  $x^{2}+7 x+49$ 
C)  $x^{2}-9 x+14$ 
D)  $x^{3}+7 x^{2}-4 x-28$ 
A)  $x^{3}+7 x^{2}-28$ 
B)  $x^{2}+7 x+49$ 
C)  $x^{2}-9 x+14$ 
D)  $x^{3}+7 x^{2}-4 x-28$

Question 19

If a projectile is launched upward from a height of 32 feet at an initial velocity of 80 feet per second, then its height after $t$ seconds is given by the function $h(t)=-16 t^{2}+80 t+32$, where $h$ is in feet. After how many seconds will the projectile reach a height of 132 feet?

Accepted Answer

A)  5 seconds 
B)  10 seconds 
C)  2.5 seconds 
D)  1.25 seconds 
A)  5 seconds 
B)  10 seconds 
C)  2.5 seconds 
D)  1.25 seconds

Question 20

Find the GCF.
-$\mathrm{rs}^{7}, \mathrm{rs}^{6}$

Accepted Answer

A)  $r^{2} s^{7}$ 
B)  $r^{2} s^{6}$ 
C)  $s^{6}$ 
D)  $\mathrm{rs}^{6}$ 
A)  $r^{2} s^{7}$ 
B)  $r^{2} s^{6}$ 
C)  $s^{6}$ 
D)  $\mathrm{rs}^{6}$

Identify the polynomial as a - $17 x^{2}$

Convert the given number to scientific notation -0.000046719

Factor completely. If the polynomial cannot be factored, write "prime." - $x^{3}-3 x^{2}-9 x+27$

Simplify. (A ssume all variables are nonzero.) - $\frac{15 x^{8} y^{4} z^{7}}{3 x^{4} y^{4} z^{2}}$

Evaluate the given function - $g(x)=x^{5}, g(8)$

Find the special product using the appropriate formula - $(3 \mathrm{x}-12)(3 \mathrm{x}+12)$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\frac{t^{6}}{t^{8}}$

For the given quadratic equation, one of its solutions has been provided. Use it to find the other solution. - $40 \mathrm{x}^{2}-92 \mathrm{x}-20=0, \mathrm{x}=\frac{5}{2}$

$(\mathrm{x}+4)\left(\mathrm{x}^{2}-\mathrm{x}+7\right)$

Find a quadratic equation with integer coefficients that has the given solution set. - $\{-3,7\}$

Simplify. (A ssume all variables are nonzero.) - $-3^0$

Factor the GCF out of the given expression. - $-4 x^{3}-8 x^{2}+6 x$

Find the missing monomial, factor or term. - $?\left(-7 y^{2}+5 y+6\right)=21 y^{3}-15 y^{2}-18 y$

Find the special product using the appropriate formula - $(x+11)^{2}$

Determine whether the simplified version of the given expression would be a - $\left(5 x^{2}+2 x+1\right) \cdot\left(2 x^{2}-8 x+9\right)$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\frac{p^{3}}{p^{-5}}$

Evaluate the polynomial or polynomial function for the given value of the variable. - $x^{2}-5 x+3$ for $x=3$

Choose the polynomial that has the given factor. - $x+7$

If a projectile is launched upward from a height of 32 feet at an initial velocity of 80 feet per second, then its height after $t$ seconds is given by the function $h(t)=-16 t^{2}+80 t+32$ , where $h$ is in feet. After how many seconds will the projectile reach a height of 132 feet?

Find the GCF. - $\mathrm{rs}^{7}, \mathrm{rs}^{6}$

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 5: Exponents, Polynomials, and Factoring Polynomials

Identify the polynomial as a - 17x217 x^{2}17x2

Convert the given number to scientific notation -0.000046719

Factor completely. If the polynomial cannot be factored, write "prime." - x3−3x2−9x+27x^{3}-3 x^{2}-9 x+27x3−3x2−9x+27

Simplify. (A ssume all variables are nonzero.) - 15x8y4z73x4y4z2\frac{15 x^{8} y^{4} z^{7}}{3 x^{4} y^{4} z^{2}}3x4y4z215x8y4z7​

Evaluate the given function - g(x)=x5,g(8)g(x)=x^{5}, g(8)g(x)=x5,g(8)

Find the special product using the appropriate formula - (3x−12)(3x+12)(3 \mathrm{x}-12)(3 \mathrm{x}+12)(3x−12)(3x+12)

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - t6t8\frac{t^{6}}{t^{8}}t8t6​

For the given quadratic equation, one of its solutions has been provided. Use it to find the other solution. - 40x2−92x−20=0,x=5240 \mathrm{x}^{2}-92 \mathrm{x}-20=0, \mathrm{x}=\frac{5}{2}40x2−92x−20=0,x=25​

(x+4)(x2−x+7)(\mathrm{x}+4)\left(\mathrm{x}^{2}-\mathrm{x}+7\right)(x+4)(x2−x+7)

Find a quadratic equation with integer coefficients that has the given solution set. - {−3,7}\{-3,7\}{−3,7}

Simplify. (A ssume all variables are nonzero.) - −30-3^0−30

Factor the GCF out of the given expression. - −4x3−8x2+6x-4 x^{3}-8 x^{2}+6 x−4x3−8x2+6x

Find the missing monomial, factor or term. - ?(−7y2+5y+6)=21y3−15y2−18y?\left(-7 y^{2}+5 y+6\right)=21 y^{3}-15 y^{2}-18 y?(−7y2+5y+6)=21y3−15y2−18y

Find the special product using the appropriate formula - (x+11)2(x+11)^{2}(x+11)2

Determine whether the simplified version of the given expression would be a - (5x2+2x+1)⋅(2x2−8x+9)\left(5 x^{2}+2 x+1\right) \cdot\left(2 x^{2}-8 x+9\right)(5x2+2x+1)⋅(2x2−8x+9)

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - p3p−5\frac{p^{3}}{p^{-5}}p−5p3​

Evaluate the polynomial or polynomial function for the given value of the variable. - x2−5x+3x^{2}-5 x+3x2−5x+3 for x=3x=3x=3

Choose the polynomial that has the given factor. - x+7x+7x+7

Find the GCF. - rs7,rs6\mathrm{rs}^{7}, \mathrm{rs}^{6}rs7,rs6

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Identify the polynomial as a - $17 x^{2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $x^{3}-3 x^{2}-9 x+27$

Simplify. (A ssume all variables are nonzero.) - $\frac{15 x^{8} y^{4} z^{7}}{3 x^{4} y^{4} z^{2}}$

Evaluate the given function - $g(x)=x^{5}, g(8)$

Find the special product using the appropriate formula - $(3 \mathrm{x}-12)(3 \mathrm{x}+12)$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\frac{t^{6}}{t^{8}}$

For the given quadratic equation, one of its solutions has been provided. Use it to find the other solution. - $40 \mathrm{x}^{2}-92 \mathrm{x}-20=0, \mathrm{x}=\frac{5}{2}$

$(\mathrm{x}+4)\left(\mathrm{x}^{2}-\mathrm{x}+7\right)$

Find a quadratic equation with integer coefficients that has the given solution set. - $\{-3,7\}$

Simplify. (A ssume all variables are nonzero.) - $-3^0$

Factor the GCF out of the given expression. - $-4 x^{3}-8 x^{2}+6 x$

Find the missing monomial, factor or term. - $?\left(-7 y^{2}+5 y+6\right)=21 y^{3}-15 y^{2}-18 y$

Find the special product using the appropriate formula - $(x+11)^{2}$

Determine whether the simplified version of the given expression would be a - $\left(5 x^{2}+2 x+1\right) \cdot\left(2 x^{2}-8 x+9\right)$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\frac{p^{3}}{p^{-5}}$

Evaluate the polynomial or polynomial function for the given value of the variable. - $x^{2}-5 x+3$ for $x=3$

Choose the polynomial that has the given factor. - $x+7$

Find the GCF. - $\mathrm{rs}^{7}, \mathrm{rs}^{6}$