Free Printable algebra1 final

1.

$simplify:\ \left(\frac{7}{10}\right)^2$

a)

$\frac{49}{100}$

b)

$\frac{14}{20}$

c)

$\frac{49}{10}$

d)

.7

2.

$\left(-7\right)^0$

a)

1

b)

0

c)

-1

d)

-7

3.

$-9a^0$

a)

1

b)

0

c)

-1

d)

-7

4.

$factor\ the\ difference\ of\ squares\ x^2-16$

a)

(x+4)(x+4)

b)

(x-4)(x-4)

c)

(x+4)(x-4)

d)

no solution

5.

$Find\ the\ GCF\ \ of\ the\ quadratic\ \exp ression\ 4x^2+28x$

a)

2

b)

4x

c)

16

d)

28x

6.

$\left(-5\right)^2$ =

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7.

$\left(b^3\right)^{-4}$ =

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8.

$-4k^5\cdot3k^2$ =

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9.

$\left(2k^3\right)^2=$

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10.

$\frac{x^3}{x^7}=$

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11.

Rewrite\ with\ only\ positive\ \exp onents:\ \ \ 3x^2y^{-4}

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12.

$\frac{m^{-5}n^{-3}}{m^{-1}n^{-2}}$

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13.

Use the Growth or Decay formula:

In the absence of predators, the natural growth rate of rabbits is 4% per year. If a population begins with 200 rabbits, what would the population be in ten years?

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14.

Use the growth/decay formula TWICE:

The mendez family bought two used cars: One is domestic and one foreign. The domestic car costs $11,600 and depreciates at 12%. The foreign car cost $9700 and depreciates at 7%. How much will EACH car be worth in 2 years. Solve each and compare. How much is each worth and Which one should they keep and why?

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15.

Write an exponential equation using the chart
y=

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16.

Write if the graph is growth or decay AND write the equation that goes with the table of values

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17.

Is the equation y = 4(1/2)^x a growth or decay? How do you know?

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18.

Classify\ by\ the\ number\ of\ terms:\ n^2\ +4n\ -8

a)

monomial

b)

binomial

c)

trinomial

d)

linear

19.

Classify by # of terms: $5xy^3$

a)

Quintic

b)

Trinomial

c)

Binomial

d)

Monomial

20.

Classify by terms: $6n^{6\ }+2$

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Sixlet

21.

Classify by degree: 7x - 4

a)

linear

b)

quadratic

c)

cubic

d)

quartic

22.

$Classify\ by\ the\ \deg ree:\ 4x^{3\ }-1$

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23.

(a) is the number in front of the letter

24.

(a) is another word for exponent

25.

When subtracting polynomials you must (a) the negative sign first

26.

$Add\ :\ \left(12k\ +\ 3\right)\ +\ \left(4k\ -\ 2\right)$

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27.

$Subtract:\ \left(12k\ +3\right)\ -\left(4k\ -2\right)$

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28.

$Add:\ \left(3y^2\ -\ y\ +1\ \right)+\left(4y\ +2y^2\ +11\right)$

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29.

$Subtract:\ \left(3y^2\ -\ y\ +3\right)-\left(2y^2\ +2y\ +9\right)$

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30.

Rewrite in standard form $\ 10\ -\ 7x^2\ +9x\ -4x^3$

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31.

$Multiply\ \text{/distribute}:\ 4x\left(2x^2\ +7x\ -3\right)$

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32.

What do the letters of F.O.I.L. stand for?

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33.

Use FOIL or box method to simplify: (x+8)(x-8)

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34.

Use the figure shown to find the area (length times width) AND perimeter (all sides added) of the rectangle.

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35.

$True\ or\ False\ :\ \left(2+a\right)^2\ =4\ +\ a^2$

remember we did this in class the last day....

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36.

FOIL: (m + 3)(5m - 2)

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37.

Factor out a GCF: 4x - 6

a)

4(x-6)

b)

2x(2x -3)

c)

2(2x - 3)

d)

x(4-6)

38.

$Factor\ out\ a\ GCF:\ 16x^2\ -24x$

a)

16x(x-24)

b)

2x(8x -12)

c)

24x (2x-1)

d)

8x(2x - 3)

39.

$Factor\ the\ difference\ of\ squares\ b^2-36$

a)

b(b-36)

b)

(b+6)(b-6)

c)

2b(b-18)

d)

(b+0)(b-36)

40.

$Which\ one\ is\ NOT\ \ a\ difference\ of\ squares:$

a)

$1\ -\ 25c^2$

b)

$x^2\ -100$

c)

$4n^2\ -\ 16$

d)

$y^2\ +\ 8$

41.

$Factor\ the\ trinomial\ :\ f^2\ +\ 12f\ +\ 35$ (do not solve):

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42.

$Factor\ the\ trinomial:\ j^2-14j\ +\ 40$

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43.

In order to SOLVE a factored equation, you must set each parentheses (binomial) equal to zero. This is called the (a) product property

44.

SOLVE (find x) the following factored equation: (x +7)(4x-5)

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45.

Which of the following IS a Perfect Square Trinomial?

a)

$x^2+10x\ +25$

b)

$x^2\ +5x\ +25$

c)

$x^2\ +25$

d)

$x^2-25$

46.

Use the a*c method to FACTOR: 3x² - x - 10

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47.

Use a*c method to FACTOR: 2x² + 13x +6

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48.

BEFORE factoring the equation 4x² - 5x -2 = -3, what must be done?

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49.

Factor and SOLVE or use quadratic formula to solve: 4x² + 4x + 1

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50.

WHich word is NOT another name for solutions?

a)

x-intercepts

b)

roots

c)

zeros

d)

y-intercepts

51.

Two or more equations that may or may not intersect are called a (a) of equations

52.

Which of the following are NOT a way to solve a system of equations?

a)

exploit

b)

substitute

c)

eliminate

d)

graph

53.

Compare a linear equation to a quadratic equation ( you can compare the graphs and/or the equations)

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54.

Use any of the 3 methods to solve the system: (if you graph, then attach and email) : 4x+3y = 22

4x - y = 30

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55.

Use any of the 3 methods to solve the system(if you graph, email me the work): y = -9 -x

x - y = 1 (be careful with the signs)

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56.

Solve the system of equations using any of the 3 methods (if you graph, email me the work): y =2x-1

y - 2x = -1

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57.

Without graphing, explain what makes y >2x+1 a linear inequality. How is the graph different than the linear equation y=2x+1(other than the symbol).

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58.

THe quadratic formula is used when you CANNOT (a) a trinomial

59.

If given the formula y= -16x² + 2x +100 as the formula for dropping a water balloon out of the window and I want to know the time (x) it would take to reach the ground, how can I find the time?

a)

just factor the equation

b)

use the quadratic formula

c)

use the zero product property

d)

square root it all

60.

Bonus:

What is the name of the U shaped graph of a quadratic equation?

a)

linear

b)

quad graph

c)

parabola

d)

plume

algebra1 final

Total questions: 60

Worksheet time: 15hrs 0mins

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