Question 1

Add the polynomials. $$\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)$$

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Question 2

Scientists often use a process called carbon dating to estimate the age of
archaeological finds. The process measures the amount of carbon-14, a
radioactive isotope with a half-life of 5730 years. If a sample of wood from an
ancient artifact had 19 grams of carbon-14 initially, the amount remaining, in grams,
is given by $$
A ( t ) = 19 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 }
$$
where $t$ is the number of years since the tree died. How many grams would be present after 22,920 years?

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Question 3

Find the opposite of the polynomial. $$- 9 x ^ { 4 } + 16 x ^ { 2 } - 11$$

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Question 4

Factor completely. $$t ^ { 2 } + 10 t + 16$$

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Question 5

Factor completely. $$x ^ { 2 } + 10 x y + 25 y ^ { 2 }$$

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Question 6

Graph the function $f ( x ) = 3 ^ { x + 2 }$.
Plot at least three points.

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Question 7

Find the total amount for the investment using compound interest. $$\begin{array} { c | c | c | c | c } 
\text { Principal } & \text { Annual Interest Rate } & \text { Time in Years } & \text { Compounded } & \text { Total Amount } \
\hline \$ 9000 & 8.5 \% & 5 & \text { annually } &
\end{array}$$

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Question 8

Find all values of k so that the distance from (8, -5)to (11, k)is 5 units.

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Question 9

Factor completely. $$x ^ { 2 } - 15 x + 54$$

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Question 10

Nick borrowed $2000 for 4 years and 3 months at 8% simple interest.
a. How much interest will Nick have to pay?
b. What will be the total amount that he has to pay back?

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Question 11

Write the equation in the form $a x ^ { 2 } + b x + c = 0$
Then identify the values of  a, b , and  c .
$x ^ { 2 } + 36 = 0$

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Question 12

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

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Question 13

Write the number in scientific notation.
483,000,000

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483,000,000...

Question 14

Carla deposited $12,400 into an account paying 4% simple interest 5 years ago.
If she withdraws the entire amount of money, how much will she have?

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Question 15

Find the length of the unknown side.

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Question 16

Factor the binomial completely. $$16 x ^ { 2 } + 9 y ^ { 2 }$$

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Question 17

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

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Question 18

Write the distance formula.

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Question 19

In a right triangle, one leg measures 14 km and the other leg measures 48 km.
Find the length of the hypotenuse.

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Question 20

If $6000 is invested in an account that pays 9% interest compounded monthly
for 4 years, label the variables P, r, n, and t.

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Quiz 4: Living in a Nonlinear World

Add the polynomials. $\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)$

Find the opposite of the polynomial. $- 9 x ^ { 4 } + 16 x ^ { 2 } - 11$

Factor completely. $t ^ { 2 } + 10 t + 16$

Factor completely. $x ^ { 2 } + 10 x y + 25 y ^ { 2 }$

Graph the function $f ( x ) = 3 ^ { x + 2 }$ . Plot at least three points.

Find the total amount for the investment using compound interest. $\begin{array} { c | c | c | c | c } \text { Principal } & \text { Annual Interest Rate } & \text { Time in Years } & \text { Compounded } & \text { Total Amount } \\\hline \$ 9000 & 8.5 \% & 5 & \text { annually } &\end{array}$

Find all values of k so that the distance from (8, -5)to (11, k)is 5 units.

Factor completely. $x ^ { 2 } - 15 x + 54$

Nick borrowed $2000 for 4 years and 3 months at 8% simple interest. a. How much interest will Nick have to pay? b. What will be the total amount that he has to pay back?

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . $x ^ { 2 } + 36 = 0$

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

Write the number in scientific notation. 483,000,000

Carla deposited $12,400 into an account paying 4% simple interest 5 years ago. If she withdraws the entire amount of money, how much will she have?

Find the length of the unknown side.

Factor the binomial completely. $16 x ^ { 2 } + 9 y ^ { 2 }$

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

Write the distance formula.

In a right triangle, one leg measures 14 km and the other leg measures 48 km. Find the length of the hypotenuse.

If $6000 is invested in an account that pays 9% interest compounded monthly for 4 years, label the variables P, r, n, and t.

Quiz 4: Living in a Nonlinear World

Add the polynomials. (4w2+8w)+(3z2−5z)\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)(4w2+8w)+(3z2−5z)

Find the opposite of the polynomial. −9x4+16x2−11- 9 x ^ { 4 } + 16 x ^ { 2 } - 11−9x4+16x2−11

Factor completely. t2+10t+16t ^ { 2 } + 10 t + 16t2+10t+16

Factor completely. x2+10xy+25y2x ^ { 2 } + 10 x y + 25 y ^ { 2 }x2+10xy+25y2

Graph the function f(x)=3x+2f ( x ) = 3 ^ { x + 2 }f(x)=3x+2 . Plot at least three points.

Find all values of k so that the distance from (8, -5)to (11, k)is 5 units.

Factor completely. x2−15x+54x ^ { 2 } - 15 x + 54x2−15x+54

Nick borrowed $2000 for 4 years and 3 months at 8% simple interest. a. How much interest will Nick have to pay? b. What will be the total amount that he has to pay back?

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 . x2+36=0x ^ { 2 } + 36 = 0x2+36=0

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

Write the number in scientific notation. 483,000,000

Carla deposited $12,400 into an account paying 4% simple interest 5 years ago. If she withdraws the entire amount of money, how much will she have?

Find the length of the unknown side.

Factor the binomial completely. 16x2+9y216 x ^ { 2 } + 9 y ^ { 2 }16x2+9y2

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

Write the distance formula.

In a right triangle, one leg measures 14 km and the other leg measures 48 km. Find the length of the hypotenuse.

If $6000 is invested in an account that pays 9% interest compounded monthly for 4 years, label the variables P, r, n, and t.

Add the polynomials. $\left( 4 w ^ { 2 } + 8 w \right) + \left( 3 z ^ { 2 } - 5 z \right)$

Find the opposite of the polynomial. $- 9 x ^ { 4 } + 16 x ^ { 2 } - 11$

Factor completely. $t ^ { 2 } + 10 t + 16$

Factor completely. $x ^ { 2 } + 10 x y + 25 y ^ { 2 }$

Graph the function $f ( x ) = 3 ^ { x + 2 }$ . Plot at least three points.

Factor completely. $x ^ { 2 } - 15 x + 54$

Write the equation in the form $a x ^ { 2 } + b x + c = 0$ Then identify the values of a, b , and c . $x ^ { 2 } + 36 = 0$

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

Factor the binomial completely. $16 x ^ { 2 } + 9 y ^ { 2 }$

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