Question 1

$-8 x(-5 x-8)$

Accepted Answer

A)  $40 x^{2}-8 x$ 
B)  $40 x^{2}+64 x$ 
C)  $-5 x^{2}+64 x$ 
D)  $104 x^{2}$ 
A)  $40 x^{2}-8 x$ 
B)  $40 x^{2}+64 x$ 
C)  $-5 x^{2}+64 x$ 
D)  $104 x^{2}$

Question 2

Simplify. (A ssume all variables are nonzero.)
-$8^0$

Accepted Answer

A)  1 
B)  8 
C)  0 
D)  - 1 
A)  1 
B)  8 
C)  0 
D)  - 1

Question 3

$x(x-5)=50$

Accepted Answer

A)  $\{5,10\}$ 
B)  $\{5,-10\}$ 
C)  $\{5,10\}$. 
D)  $\{5,-10\}$. 
A)  $\{5,10\}$ 
B)  $\{5,-10\}$ 
C)  $\{5,10\}$. 
D)  $\{5,-10\}$.

Question 4

Divide. Assume all variables are nonzero
-$\frac{30 x^{8}}{21 x^{2}}$

Accepted Answer

A)  $\frac{10 x^{10}}{7}$ 
B)  $\frac{40}{7}$ 
C)  $3 x^{6}$ 
D)  $\frac{10 x^{6}}{7}$ 
A)  $\frac{10 x^{10}}{7}$ 
B)  $\frac{40}{7}$ 
C)  $3 x^{6}$ 
D)  $\frac{10 x^{6}}{7}$

Question 5

Convert the given number to standard notation
-$6.449 \times 10^{-5}$

Accepted Answer

A)  0.00006449 
B)  -644,900 
C) 0.0006449 
D) 0.000006449 
A)  0.00006449 
B)  -644,900 
C) 0.0006449 
D) 0.000006449

Question 6

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
-$\left(3 m^{4} n^{-2}\right)^{2}$

Accepted Answer

A)  $\frac{3 m^{8}}{n^{4}}$ 
B)  $3 m^{8} n^{4}$ 
C)  $9 m^{8} n^{4}$ 
D)  $\frac{9 m^{8}}{n^{4}}$ 
A)  $\frac{3 m^{8}}{n^{4}}$ 
B)  $3 m^{8} n^{4}$ 
C)  $9 m^{8} n^{4}$ 
D)  $\frac{9 m^{8}}{n^{4}}$

Question 7

The area of a square with side $x$ is given by the function $A(x)=x^{2}$. Find the area of a square if each side is 30 feet long.

Accepted Answer

A)  120 square feet 
B)  60 square feet 
C)  900 square feet 
D)  90 square feet 
A)  120 square feet 
B)  60 square feet 
C)  900 square feet 
D)  90 square feet

Question 8

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
-$\left(\frac{7 x^{-4}}{8 y^{-4}}\right)^{-2}$

Accepted Answer

A)  $\frac{49 x^{42}}{64 y^{ 42}}$ 
B)  $\frac{49 x^{8}}{64 y^{8}}$ 
C)  $\frac{64 y^{8}}{49 x^{8}}$ 
D)  $\frac{64 x^{8}}{49 y^{8}}$ 
A)  $\frac{49 x^{42}}{64 y^{ 42}}$ 
B)  $\frac{49 x^{8}}{64 y^{8}}$ 
C)  $\frac{64 y^{8}}{49 x^{8}}$ 
D)  $\frac{64 x^{8}}{49 y^{8}}$

Question 9

Factor completely. If the polynomial cannot be factored, write "prime."
-$12 x^{2}+7 x-12$

Accepted Answer

A)  $(12 x+1)(x-12)$ 
B)  $(3 x+4)(4 x-3)$ 
C)  $(12 x+4)(x-3)$ 
D)  $(3 x-4)(4 x+3)$ 
A)  $(12 x+1)(x-12)$ 
B)  $(3 x+4)(4 x-3)$ 
C)  $(12 x+4)(x-3)$ 
D)  $(3 x-4)(4 x+3)$

Question 10

The speed of light is $1.86 \times 10^{5}$ miles/second. How far can light travel in one hour? Round to one decimal place.

Accepted Answer

A)  $6.7 \times 10^{-8}$ miles 
B)  $6.7 \times 10^{9}$ miles 
C)  $6.7 \times 10^{8}$ miles 
D)  $6.7 \times 10^{6}$ miles 
A)  $6.7 \times 10^{-8}$ miles 
B)  $6.7 \times 10^{9}$ miles 
C)  $6.7 \times 10^{8}$ miles 
D)  $6.7 \times 10^{6}$ miles

Question 11

A projectile is launched upward from an initial height of 400 feet, and it lands on the ground after 8 seconds. What was the initial velocity of the projectile?

Accepted Answer

A)  78 feet/second 
B)  88 feet/second 
C)  68 feet/second 
D)  70 feet/second 
A)  78 feet/second 
B)  88 feet/second 
C)  68 feet/second 
D)  70 feet/second

Question 12

Factor completely. If the polynomial cannot be factored, write "prime."
-$7 x^{2}-13 x-24$

Accepted Answer

A)  $(8 x+7)(x-3)$ 
B)  $(x-8)(x-3)$ 
C)  $(x+7)(x-3)$ 
D)  $(7 \mathrm{x}+8)(\mathrm{x}-3)$ 
A)  $(8 x+7)(x-3)$ 
B)  $(x-8)(x-3)$ 
C)  $(x+7)(x-3)$ 
D)  $(7 \mathrm{x}+8)(\mathrm{x}-3)$

Question 13

Factor completely. If the polynomial cannot be factored, write "prime."
-$8 c^{3}+125$

Accepted Answer

A)  $(2 c+5)\left(4 c^{2}+25\right)$ 
B)  $(2 c-5)\left(4 c^{2}+10 c+25\right)$ 
C)  $(2 c+5)\left(4 c^{2}-10 c+25\right)$ 
D)  $(8 c+5)\left(c^{2}-10 c+25\right)$ 
A)  $(2 c+5)\left(4 c^{2}+25\right)$ 
B)  $(2 c-5)\left(4 c^{2}+10 c+25\right)$ 
C)  $(2 c+5)\left(4 c^{2}-10 c+25\right)$ 
D)  $(8 c+5)\left(c^{2}-10 c+25\right)$

Question 14

Determine the coefficient and the degree of each term in the polynomial.
-$6 x^{8}+13 x$

Accepted Answer

A)  Coefficients: 6, 13 degrees: 8,1 
B)  Coefficients: 6,13 degrees: 9,1 
C)  Coefficients: 6, 13 degrees: 8,0 
D)  Coefficients: 6, 13, 1 degrees: 8, 1, 0 
A)  Coefficients: 6, 13 degrees: 8,1 
B)  Coefficients: 6,13 degrees: 9,1 
C)  Coefficients: 6, 13 degrees: 8,0 
D)  Coefficients: 6, 13, 1 degrees: 8, 1, 0

Question 15

Determine the coefficient and the degree of each term in the polynomial.
-$5 x^{6}+4 x^{3}-x$

Accepted Answer

A)  Coefficients: $6,3,1$; degrees: 5, 4, - 1 
B)  Coefficients: 6, 3, 1; degrees: $5,-4,-1$ 
C)  Coefficients: 5, 4, - 1; degrees: 6, 3, 1 
D)  Coefficients: 5, - 4, 1; degrees: $6,3,0$ 
A)  Coefficients: $6,3,1$; degrees: 5, 4, - 1 
B)  Coefficients: 6, 3, 1; degrees: $5,-4,-1$ 
C)  Coefficients: 5, 4, - 1; degrees: 6, 3, 1 
D)  Coefficients: 5, - 4, 1; degrees: $6,3,0$

Question 16

Perform the indicated calculation. Express your answer using scientific notation.
-$\left(4.8 \times 10^{-3}\right)\left(6.1 \times 10^{7}\right)$

Accepted Answer

A)  $10.9 \times 10^{10}$ 
B)  $2.928 \times 10^{5}$ 
C)  $1.26 \times 10^{4}$ 
D)  $2.928 \times 10^{4}$ 
A)  $10.9 \times 10^{10}$ 
B)  $2.928 \times 10^{5}$ 
C)  $1.26 \times 10^{4}$ 
D)  $2.928 \times 10^{4}$

Question 17

Simplify. (A ssume all variables are nonzero.)
-$\left(\frac{6}{19}\right)^{0}$

Accepted Answer

A)  - 1 
B)  $\frac{6}{19}$ 
C)  0 
D)  1 
A)  - 1 
B)  $\frac{6}{19}$ 
C)  0 
D)  1

Question 18

Factor by grouping.
-$x^{2}+9 x+x+9$

Accepted Answer

A)  $(x+9)(x+1)$ 
B)  $(x-9)(x-1)$ 
C)  $(x-9)(x+1)$ 
D)  $(x+9)(x-1)$ 
A)  $(x+9)(x+1)$ 
B)  $(x-9)(x-1)$ 
C)  $(x-9)(x+1)$ 
D)  $(x+9)(x-1)$

Question 19

Divide using long division.
-$\frac{8 x^{3}-14 x^{2}-13 x-5}{2 x-5}$

Accepted Answer

A)  $x^{2}+3 x+1$ 
B)  $4 \mathrm{x}^{2}+1$ 
C)  $x^{2}-3 x-1$ 
D)  $4 x^{2}+3 x+1$ 
A)  $x^{2}+3 x+1$ 
B)  $4 \mathrm{x}^{2}+1$ 
C)  $x^{2}-3 x-1$ 
D)  $4 x^{2}+3 x+1$

Question 20

The product of two positive consecutive integers is 11 more than their sum. Find the integers.

Accepted Answer

A)  3,4 
B)  $-5,-4$ 
C)  4,5 
D)  $-3,-2$ 
A)  3,4 
B)  $-5,-4$ 
C)  4,5 
D)  $-3,-2$

$-8 x(-5 x-8)$

Simplify. (A ssume all variables are nonzero.) - $8^0$

$x(x-5)=50$

Divide. Assume all variables are nonzero - $\frac{30 x^{8}}{21 x^{2}}$

Convert the given number to standard notation - $6.449 \times 10^{-5}$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\left(3 m^{4} n^{-2}\right)^{2}$

The area of a square with side $x$ is given by the function $A(x)=x^{2}$ . Find the area of a square if each side is 30 feet long.

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\left(\frac{7 x^{-4}}{8 y^{-4}}\right)^{-2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $12 x^{2}+7 x-12$

The speed of light is $1.86 \times 10^{5}$ miles/second. How far can light travel in one hour? Round to one decimal place.

A projectile is launched upward from an initial height of 400 feet, and it lands on the ground after 8 seconds. What was the initial velocity of the projectile?

Factor completely. If the polynomial cannot be factored, write "prime." - $7 x^{2}-13 x-24$

Factor completely. If the polynomial cannot be factored, write "prime." - $8 c^{3}+125$

Determine the coefficient and the degree of each term in the polynomial. - $6 x^{8}+13 x$

Determine the coefficient and the degree of each term in the polynomial. - $5 x^{6}+4 x^{3}-x$

Perform the indicated calculation. Express your answer using scientific notation. - $\left(4.8 \times 10^{-3}\right)\left(6.1 \times 10^{7}\right)$

Simplify. (A ssume all variables are nonzero.) - $\left(\frac{6}{19}\right)^{0}$

Factor by grouping. - $x^{2}+9 x+x+9$

Divide using long division. - $\frac{8 x^{3}-14 x^{2}-13 x-5}{2 x-5}$

The product of two positive consecutive integers is 11 more than their sum. Find the integers.

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

−8x(−5x−8)-8 x(-5 x-8)−8x(−5x−8)

Simplify. (A ssume all variables are nonzero.) - 808^080

x(x−5)=50x(x-5)=50x(x−5)=50

Divide. Assume all variables are nonzero - 30x821x2\frac{30 x^{8}}{21 x^{2}}21x230x8​

Convert the given number to standard notation - 6.449×10−56.449 \times 10^{-5}6.449×10−5

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - (3m4n−2)2\left(3 m^{4} n^{-2}\right)^{2}(3m4n−2)2

The area of a square with side xxx is given by the function A(x)=x2A(x)=x^{2}A(x)=x2 . Find the area of a square if each side is 30 feet long.

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - (7x−48y−4)−2\left(\frac{7 x^{-4}}{8 y^{-4}}\right)^{-2}(8y−47x−4​)−2

Factor completely. If the polynomial cannot be factored, write "prime." - 12x2+7x−1212 x^{2}+7 x-1212x2+7x−12

The speed of light is 1.86×1051.86 \times 10^{5}1.86×105 miles/second. How far can light travel in one hour? Round to one decimal place.

A projectile is launched upward from an initial height of 400 feet, and it lands on the ground after 8 seconds. What was the initial velocity of the projectile?

Factor completely. If the polynomial cannot be factored, write "prime." - 7x2−13x−247 x^{2}-13 x-247x2−13x−24

Factor completely. If the polynomial cannot be factored, write "prime." - 8c3+1258 c^{3}+1258c3+125

Determine the coefficient and the degree of each term in the polynomial. - 6x8+13x6 x^{8}+13 x6x8+13x

Determine the coefficient and the degree of each term in the polynomial. - 5x6+4x3−x5 x^{6}+4 x^{3}-x5x6+4x3−x

Perform the indicated calculation. Express your answer using scientific notation. - (4.8×10−3)(6.1×107)\left(4.8 \times 10^{-3}\right)\left(6.1 \times 10^{7}\right)(4.8×10−3)(6.1×107)

Simplify. (A ssume all variables are nonzero.) - (619)0\left(\frac{6}{19}\right)^{0}(196​)0

Factor by grouping. - x2+9x+x+9x^{2}+9 x+x+9x2+9x+x+9

Divide using long division. - 8x3−14x2−13x−52x−5\frac{8 x^{3}-14 x^{2}-13 x-5}{2 x-5}2x−58x3−14x2−13x−5​

The product of two positive consecutive integers is 11 more than their sum. Find the integers.

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

$-8 x(-5 x-8)$

Simplify. (A ssume all variables are nonzero.) - $8^0$

$x(x-5)=50$

Divide. Assume all variables are nonzero - $\frac{30 x^{8}}{21 x^{2}}$

Convert the given number to standard notation - $6.449 \times 10^{-5}$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\left(3 m^{4} n^{-2}\right)^{2}$

The area of a square with side $x$ is given by the function $A(x)=x^{2}$ . Find the area of a square if each side is 30 feet long.

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\left(\frac{7 x^{-4}}{8 y^{-4}}\right)^{-2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $12 x^{2}+7 x-12$

The speed of light is $1.86 \times 10^{5}$ miles/second. How far can light travel in one hour? Round to one decimal place.

Factor completely. If the polynomial cannot be factored, write "prime." - $7 x^{2}-13 x-24$

Factor completely. If the polynomial cannot be factored, write "prime." - $8 c^{3}+125$

Determine the coefficient and the degree of each term in the polynomial. - $6 x^{8}+13 x$

Determine the coefficient and the degree of each term in the polynomial. - $5 x^{6}+4 x^{3}-x$

Perform the indicated calculation. Express your answer using scientific notation. - $\left(4.8 \times 10^{-3}\right)\left(6.1 \times 10^{7}\right)$

Simplify. (A ssume all variables are nonzero.) - $\left(\frac{6}{19}\right)^{0}$

Factor by grouping. - $x^{2}+9 x+x+9$

Divide using long division. - $\frac{8 x^{3}-14 x^{2}-13 x-5}{2 x-5}$