Question 1

Find the simple interest and the total amount including interest. $$\begin{array} { c | c | c | c | c } 
\text { Principal } & \text { Annual Interest Rate } & \text { Time in Years } & \text { Interest } & \text { Total Amount } \
\hline \$ 6000 & 6 \% & 2 & &
\end{array}$$

Accepted Answer

$720; $6720

Question 2

Write the equation in the form $a x ^ { 2 } + b x + c = 0$
Then identify the values of  a, b , and  c .
-9 x(8 x+9)=4 x

Accepted Answer

$$- 72 x ^ { 2 } - 85 x + 0 = 0 ; a = - 72 , b = - 85 , c = 0$$

Question 3

Graph the function $f ( x ) = 2 ^ { x }$.
Plot at least three points.

Accepted Answer

The answer of Graph the function \(f ( x )...

Question 4

$30,000 is invested in an account that pays 2% simple interest. If the money is invested for 10 years, how much will the account be worth?

Accepted Answer

The answer of $30,000 is invested in an account that...

Question 5

Solve the equation by using the quadratic formula. $$3 x ^ { 2 } + 15 x - 72 = 0$$

Accepted Answer

The answer of Solve the equation by using the quadratic...

Question 6

Factor the binomial completely. $$t ^ { 2 } - 9$$

Accepted Answer

The answer of Factor the binomial completely. \[t ^ {...

Question 7

Multiply the conjugates. $$\left( \frac { 11 } { 2 } x + \frac { 2 } { 5 } \right) \left( \frac { 11 } { 2 } x - \frac { 2 } { 5 } \right)$$

Accepted Answer

The answer of Multiply the conjugates. \[\left( \frac { 11...

Question 8

For $f ( x ) = 2 ^ { x }$, find for $f ( 1 ) \text { and } f ( - 3 ) \text {. }$

Accepted Answer

The answer of For \(f ( x ) = 2...

Question 9

Solve the equation by using the quadratic formula. $$x ^ { 2 } + 7 x - 8 = 0$$

Accepted Answer

The answer of Solve the equation by using the quadratic...

Question 10

Josephine deposited $8,000 in an account that pays 6% compounded annually.
Complete the table to determine the amount of her investment at the end of 3
years. $$\begin{array} { l | l | l } 
\text { Year } & \text { Interest } & \text { Total } \
\hline \text { 1st } & & \
\text { 2nd } & & \
\text { 3rd } & &
\end{array}$$

Accepted Answer

The answer of Josephine deposited $8,000 in an account that...

Question 11

Find the difference of 
$\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)$

Accepted Answer

The answer of Find the difference of 
\(\left( 4 m...

Question 12

Add the polynomials. $$\left( \frac { 7 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) + \left( 2 y ^ { 3 } - 4 y ^ { 2 } + \frac { 21 } { 2 } \right)$$

Accepted Answer

The answer of Add the polynomials. \[\left( \frac { 7...

Question 13

Subtract the polynomials. $$\left( \frac { 15 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) - \left( 2 y ^ { 3 } - 8 y ^ { 2 } + \frac { 27 } { 2 } \right)$$

Accepted Answer

The answer of Subtract the polynomials. \[\left( \frac { 15...

Question 14

Factor completely. $$a ^ { 2 } + 3 a b - 8 b ^ { 2 }$$

Accepted Answer

The answer of Factor completely. \[a ^ { 2 }...

Question 15

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of  a, b , and  c .
$- 4 x ^ { 2 } + x = 3$

Accepted Answer

The answer of Write the equation in the form \(a...

Question 16

Subtract the polynomials. $$\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)$$

Accepted Answer

The answer of Subtract the polynomials. \[\left( 4 t ^...

Question 17

Factor completely. $$m ^ { 2 } + 4 m - 96$$

Accepted Answer

The answer of Factor completely. \[m ^ { 2 }...

Question 18

Simplify the expression. Write the answer in exponent form. $$y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }$$

Accepted Answer

The answer of Simplify the expression. Write the answer in...

Question 19

Simplify the expression. Write the answer in exponent form. $$10 ^ { 5 } \cdot 10 ^ { 7 }$$

Accepted Answer

The answer of Simplify the expression. Write the answer in...

Question 20

Solve the equation. $$4 ^ { y } = 64$$

Accepted Answer

The answer of Solve the equation. \[4 ^ { y...

Quiz 4: Living in a Nonlinear World

Find the simple interest and the total amount including interest. $\begin{array} { c | c | c | c | c } \text { Principal } & \text { Annual Interest Rate } & \text { Time in Years } & \text { Interest } & \text { Total Amount } \\\hline \$ 6000 & 6 \% & 2 & &\end{array}$

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . -9 x(8 x+9)=4 x

Graph the function $f ( x ) = 2 ^ { x }$ . Plot at least three points.

$30,000 is invested in an account that pays 2% simple interest. If the money is invested for 10 years, how much will the account be worth?

Solve the equation by using the quadratic formula. $3 x ^ { 2 } + 15 x - 72 = 0$

Factor the binomial completely. $t ^ { 2 } - 9$

Multiply the conjugates. $\left( \frac { 11 } { 2 } x + \frac { 2 } { 5 } \right) \left( \frac { 11 } { 2 } x - \frac { 2 } { 5 } \right)$

For $f ( x ) = 2 ^ { x }$ , find for $f ( 1 ) \text { and } f ( - 3 ) \text {. }$

Solve the equation by using the quadratic formula. $x ^ { 2 } + 7 x - 8 = 0$

Find the difference of $\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)$

Add the polynomials. $\left( \frac { 7 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) + \left( 2 y ^ { 3 } - 4 y ^ { 2 } + \frac { 21 } { 2 } \right)$

Subtract the polynomials. $\left( \frac { 15 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) - \left( 2 y ^ { 3 } - 8 y ^ { 2 } + \frac { 27 } { 2 } \right)$

Factor completely. $a ^ { 2 } + 3 a b - 8 b ^ { 2 }$

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . $- 4 x ^ { 2 } + x = 3$

Subtract the polynomials. $\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)$

Factor completely. $m ^ { 2 } + 4 m - 96$

Simplify the expression. Write the answer in exponent form. $y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }$

Simplify the expression. Write the answer in exponent form. $10 ^ { 5 } \cdot 10 ^ { 7 }$

Solve the equation. $4 ^ { y } = 64$

Quiz 4: Living in a Nonlinear World

Write the equation in the form ax2+bx+c=0a x ^ { 2 } + b x + c = 0ax2+bx+c=0 Then identify the values of a, b , and c . -9 x(8 x+9)=4 x

Graph the function f(x)=2xf ( x ) = 2 ^ { x }f(x)=2x . Plot at least three points.

$30,000 is invested in an account that pays 2% simple interest. If the money is invested for 10 years, how much will the account be worth?

Solve the equation by using the quadratic formula. 3x2+15x−72=03 x ^ { 2 } + 15 x - 72 = 03x2+15x−72=0

Factor the binomial completely. t2−9t ^ { 2 } - 9t2−9

Multiply the conjugates. (112x+25)(112x−25)\left( \frac { 11 } { 2 } x + \frac { 2 } { 5 } \right) \left( \frac { 11 } { 2 } x - \frac { 2 } { 5 } \right)(211​x+52​)(211​x−52​)

For f(x)=2xf ( x ) = 2 ^ { x }f(x)=2x , find for f(1) and f(−3). f ( 1 ) \text { and } f ( - 3 ) \text {. }f(1) and f(−3).

Solve the equation by using the quadratic formula. x2+7x−8=0x ^ { 2 } + 7 x - 8 = 0x2+7x−8=0

Find the difference of (4m3−2m+24) and (−11m3+m2+16m)\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)(4m3−2m+24) and (−11m3+m2+16m)

Add the polynomials. (72y3+2y−14)+(2y3−4y2+212)\left( \frac { 7 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) + \left( 2 y ^ { 3 } - 4 y ^ { 2 } + \frac { 21 } { 2 } \right)(27​y3+2y−41​)+(2y3−4y2+221​)

Subtract the polynomials. (152y3+2y−14)−(2y3−8y2+272)\left( \frac { 15 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) - \left( 2 y ^ { 3 } - 8 y ^ { 2 } + \frac { 27 } { 2 } \right)(215​y3+2y−41​)−(2y3−8y2+227​)

Factor completely. a2+3ab−8b2a ^ { 2 } + 3 a b - 8 b ^ { 2 }a2+3ab−8b2

Write the equation in the form ax2+bx+c=0a x ^ { 2 } + b x + c = 0ax2+bx+c=0 Then identify the values of a, b , and c . −4x2+x=3- 4 x ^ { 2 } + x = 3−4x2+x=3

Subtract the polynomials. (4t3−12t+6)−(−6t3+t2+16t)\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)(4t3−12t+6)−(−6t3+t2+16t)

Factor completely. m2+4m−96m ^ { 2 } + 4 m - 96m2+4m−96

Simplify the expression. Write the answer in exponent form. y3⋅y5⋅y7⋅y9y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }y3⋅y5⋅y7⋅y9

Simplify the expression. Write the answer in exponent form. 105⋅10710 ^ { 5 } \cdot 10 ^ { 7 }105⋅107

Solve the equation. 4y=644 ^ { y } = 644y=64

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . -9 x(8 x+9)=4 x

Graph the function $f ( x ) = 2 ^ { x }$ . Plot at least three points.

Solve the equation by using the quadratic formula. $3 x ^ { 2 } + 15 x - 72 = 0$

Factor the binomial completely. $t ^ { 2 } - 9$

Multiply the conjugates. $\left( \frac { 11 } { 2 } x + \frac { 2 } { 5 } \right) \left( \frac { 11 } { 2 } x - \frac { 2 } { 5 } \right)$

For $f ( x ) = 2 ^ { x }$ , find for $f ( 1 ) \text { and } f ( - 3 ) \text {. }$

Solve the equation by using the quadratic formula. $x ^ { 2 } + 7 x - 8 = 0$

Find the difference of $\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)$

Add the polynomials. $\left( \frac { 7 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) + \left( 2 y ^ { 3 } - 4 y ^ { 2 } + \frac { 21 } { 2 } \right)$

Subtract the polynomials. $\left( \frac { 15 } { 2 } y ^ { 3 } + 2 y - \frac { 1 } { 4 } \right) - \left( 2 y ^ { 3 } - 8 y ^ { 2 } + \frac { 27 } { 2 } \right)$

Factor completely. $a ^ { 2 } + 3 a b - 8 b ^ { 2 }$

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . $- 4 x ^ { 2 } + x = 3$

Subtract the polynomials. $\left( 4 t ^ { 3 } - 12 t + 6 \right) - \left( - 6 t ^ { 3 } + t ^ { 2 } + 16 t \right)$

Factor completely. $m ^ { 2 } + 4 m - 96$

Simplify the expression. Write the answer in exponent form. $y ^ { 3 } \cdot y ^ { 5 } \cdot y ^ { 7 } \cdot y ^ { 9 }$

Simplify the expression. Write the answer in exponent form. $10 ^ { 5 } \cdot 10 ^ { 7 }$

Solve the equation. $4 ^ { y } = 64$