Algebra I - Unit 13: Final Exam Exam

Factor completely. x3 + x2 - 25x - 25

(x + 1)(x - 5)(x + 5)

Solve x2 + 10x + 7 = 0 by completing the square. Which equation is used in the process?

(x + 5)2 = 18

Factor the four-term polynomial. xz + x + yz + y

(x + y)(z + 1)

What is the correct order of the following numbers? -17/10, -2, -(1.2)2

-2<-17/10<-(1.2)^2

Evaluate 5x + (-2x2) for x = 3.

-3

Select all of the following true statements if R = real numbers, Z = rational numbers, and W = {0, 1, 2, ...}.

1 , 4, 5, 6

Select all of the following that are quadratic equations.

1, 4, 6

How far does a plane travel in 3 hours at 654 miles per hour?

1,962 mi

What is the fractional equivalent of 0.2666...?

12/45

Simplify.

4/y-4

Solve for x. ( - x) = 9 looks incomplete loll

5root7/7

Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are there?

6

Simplify. too lazy to get pictures

9x9

The freshman class has 160 students. Each freshman must write three reports from a list of 12 novels that the teacher has assigned them to read. How many different combinations of novels can a freshman student choose to write reports on?

220

Combine the following expressions.

22x2(root) 6

Simplify.

2n4

Find two consecutive integers whose sum is 113. Which of the following equations could be used to solve the problem?

2x + 1 = 113

Solve for c. 2abc + d = 3

3-d/2ab

How many possible three-digit passwords can be formed using digits 0 through 9 if no digits are repeated?

720

SKIPPPPP

Only bad b-words skip this problem B)

What are the excluded values of the given expression? 14x/7x+2

x= 0, x= 2/7

Match the following items by evaluating the expression for x = -6.

x^-2= 1/36 x^-1= -1/6 x^0= 1 x^1= -6 X^2=36

Find the product. (x - 7)(y - 9)

xy - 9x - 7y + 63

What is the equation of the line, in slope-intercept form, that passes through the point (4, -1) and is perpendicular to the line whose equation is 2x - y - 7 = 0?

y = -1/2x + 1

7 - (2x + 11) + 3(3 - x) = 20

-3

Simplify -4(x - 7) + (x + 14).

-3x + 42

Evaluate. -|-2 + 9|

-7

The length of a rectangle is 4 inches more than its width, and its perimeter is 36 inches. Find the width of the rectangle.

11 in.

Find the thirty-second term of the following sequence. 9, 15, 21, ...

195

Enrollment in a business class decreased from 25 to 15 students. What was the percent of decrease in enrollment?

40%

Perform the indicated operation. (16m2 + 40m + 25) ÷ (4m + 5) = _____

4m + 5

Simplify.

8a2 - 4a + 1

Solve 2(4x + 5) > 7x + 20.

{x | x > 10}

Graph the following system of equations. Click on the graph until the correct one appears. x + y ≤ 1x - y > 3

triangle on bottom right

What is the equation of the line, in general form, that passes through the point (-1, -1) and is parallel to the line whose equation is x + y = 3?

x + y + 2 = 0

x + y = 4 x - 2y = -5 If the first equation is multiplied by 2 and then the equations are added, the result is

3x = 3

Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?

8 · 2^12

Select the type of equations.

consistent

Mr. Brownwood invests a certain amount of money at 9% interest and $1,800 more than that amount in another account at 11% interest. At the end of one year, he earned a total of $818 in interest. How much money was invested in each account?

$3,100 at 9%; $4,900 at 11%

Find the vertex of the parabola whose equation is y = x2 + 2x + 9.

(-1, 8)

If D varies directly with t and D is 108 when t is 4, find D when t is 7.

189

Find the product. (2p3)3 · (3p2)2

72p13

Solve

m ≥ 19/6

Solve. 12/n-1=10/n+3

n = -23

What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)?

(3, 1)

Factor 36x2 + 60x + 25.

(6x + 5)2

The scientific notation 2.38 × 10-2 has what value?

0.0238

Select the correct product. (5m2 - 2m + 1)(3m - 4)

15m3 - 26m2 + 11m - 4

The hypotenuse of a right triangle is 20 centimeters, and the shorter leg is 12 centimeters. Find the length of the other leg.

16 cm

Find the value of 9 - [42 - (3 + 2)].

2

A coffee mixture has beans that sell for $1.35 per pound and beans that sell for $1.05 per pound. If 120 pounds of beans create a mixture worth $1.15 per pound, how many pounds of each bean is used?

40 lb of $1.35/lb; 80 lb of $1.05/lb

Choose the product. 4p3(p2 + 8p - 3)

4p5 + 32p4 -12p3

The expression 15x + 10 is equivalent to ____.

5(3x + 2)

One number is five more than three times another. If their difference is 35, what is the larger number?

50

Find the sum of the three expressions and choose the correct answer. -2u3v + 5uv - 1 7u3v - 2u2v2 5u2v2 - uv + 6

5u3v + 3u2v2 + 4uv + 5

A person has 20 coins, all nickels and dimes, worth $1.65. How many nickels are there?

7

Jude has seven times as many dimes as nickels. Their value is $5.25. How many nickels does he have?

7

A spaceship traveled 81 billion miles. In scientific notation that is _____ miles

8.1 × 10^10

Use the stem-and-leaf plot below to match the terms with the correct value. Round to the nearest whole number.

Mean 80 Median 81 Mode 81

Based on the box-and-whisker plot shown below, match each term with the correct value.

Median=11 Range=12 25th percentile=9 75th percentile =14 Inter-quartile Range=5

Girl idk and idc

SKIP!!!!!

Thank you for using i hope you passed

STAN BTS

Given the system of equations, match the following items. 2x - y = 0 x + y= -3

[0 -1/-3 1] = x-determinant [2 0/1 -3] = y- determinant [2 -1/1 1] = system determinant

Identify the values of a, b, and c in the following quadratic equation. 4x2 + x + 9 = 0

a =4 , b =1 , c =9

Select the graph of the solution. Click on the graph until the correct one appears. |x| + 3 > 5

a clear dot on -2 and a clear dot on 2

Graph y = |x| - 1. Click on the graph until the correct one appears.

an upside down triangle ⛛ or you can look at it like an icecream cone

Describe the location of the point that has the following coordinates. negative abscissa, zero ordinate

between Quadrant II and Quadrant III

Graph y < x2 + 2. Click on the graph until the correct one appears.

everything is blue but then on the top center its a white oval

If we use the equation of the trend line, y = 12x + 133, to estimate the number of calories in a fast food item that has 15 grams of fat, we find that there are approximately 313 calories in an item having 15 grams of fat. This is an example of _____ the data.

interpolating

Solve the following system of equations graphically. Click on the graph until the correct one appears. 2x -y = -1x + y = -2

makes and x n the bottom left -1, -1

Solve for a .What is the root? If there is no root, choose none.

none.

Graph the following inequality. Click on the graph until the correct one appears.

the left side is blank and the right is yellow

Choose the correct mathematical translation for the given statement. Do not exceed the 35-mile-per-hour speed limit.

x ≤ 35

Reduce the fraction to lowest terms. to lazy to write

x-2/x+2

Which of the following equations is of a parabola with a vertex at (0, 6)?

y = x2 + 6

What is the range of the function y = -|x|?

y ≤ 0

The graph shown is the solution set for which of the inequalities given below?

y ≤ |x + 2|

Given the system of equations, what is the solution? 2x + y = -1 x - y = -5

{(-2, 3)}

Determine the solution set of (x - 3)2 = 49.

{10, -4}

Use the listing method to represent the following set. {x | x I, 2 ≤ x ≤ 5}

{2, 3, 4, 5}

Find A ∩ B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10}.

{6}

Find the distance between the points (1, 3) and (-7, 2).

{root} 65

Solve (x + 5 < 4) ∩ (x - 3 > -6).

{x | -3 < x < -1}

Simplify. 6a - {b - [3a - (2b + c) + 4a - (a + 2b - c)]}.

12a - 5b

Based on the dartboard shown below, what is the probability of a random throw hitting a section that is pink or 1?

5/8

to long to write

8, 2^2,7

Choose the factored form of the given equation. 6x2 + 2x - 8 = 0

(6x + 8)(x - 1) = 0

What is the algebraic expression for "the difference between eleven times a number and four"?

11x-4x

Simplify 13x - 4[x + (3 - x)].

13x - 12

Simplify. (9.5) - (-4.36) + (1.094)

14.954

Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years?

18

Given the following cards, what is the probability of drawing a blue card, not replacing it, and then drawing another blue card?

3/10

For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 2y + 4 = 3x

3x + 3x - 4 = 2

Which of the systems below is equivalent to the given system? 0.01x - 0.05y = 0.1 0.4x + 0.3y = 0.9

x - 5y = 10 and 4x + 3y = 9

Im too lazy to write uhgghh

x = -8

What is the equation of the line, in slope-intercept form, that passes through (4, 2) and (-2, -3)?

y =5/6 x -4/3