Free Printable FINAL EXAM REVIEW ALGEBRA SEMESTER 1

1.

A collection of nickels and quarters has a value of $7.30. There are a total of 78 coins in the collection. Which system of equations can be used to determine the number of nickels, , and the number of quarters, , in the collection?

a)

$0.25n+0.05q=7.30$
$n+q=78$

b)

$0.25n+0.05q=78$
$n+q=7.30$

c)

$0.05n+0.25q=7.30$
$n+q=78$

d)

$0.05n+0.25q=78$
$n+q=7.30$

2.

Which of the following is the solution set for

25<3x-(7-5x)?

a)

$x<4$

b)

$x>\frac{1}{4}$

c)

$x>4$

d)

$x<\frac{1}{4}$

3.

$x-5y=5$

$4x+3y=20$

Which graph best represents this system of equations and its solution?

a)

b)

c)

d)

4.

You are buying school supplies for the year. A binder costs $1.35 and a package of pencils costs $2.50. Which inequality represents all possible combinations of , the number of binders and , the number of packages of pencils you can buy if you want to spend a maximum of $17.00?

a)

$1.35b+2.50p<17$

b)

$2.50b+1.35p≤17$

c)

$1.35b+2.50p≤17$

d)

$1.35b+2.50p≥17$

5.

$h\left(x\right)=\frac{2}{3}x-2$
What is the zero of the equation above?

Hint: find the x-intercept

a)

$\frac{2}{3}$

b)

-2

c)

3

d)

-3

6.

Cody went to the movie theater with a group of friends. He bought cokes for $2 each and movies tickets for $5 each for all of his friends. Let x represent the number of cokes, and y, represent the number of tickets. If he spent no more than 50 dollars at the theater, which graph represents the combination of drinks and tickets he could buy for his friends?

a)

b)

c)

d)

7.

The value of y is directly proportional to the value of x .

When x = 2.5 , the value of y is 40.

What is the value of y when x = 7?

(a)

8.

What is the value of y in the solution to this system of equations?

$y=-x+\frac{7}{2}$

4x+2y=5

a)

1

b)

$\frac{5}{2}$

c)

-1

d)

$\frac{9}{2}$

9.

If $f\left(x\right)=x$ and $g\left(x\right)=f\left(x\right)\ +\ 5$ , which statement describes how the functions are related?

a)

The graph of f is less steep than the graph of g

b)

The graph of f is shifted five units down to create the graph of g

c)

The graph of f is shifted five units up to create the graph of g

d)

The graph of f is steeper than the graph of g

10.

Which of the following best describes the relation shown in the graph?

a)

b)

c)

d)

11.

The table represents some points on the graph of a linear function?

a)

$g\left(x\right)=\frac{3}{4}x-12$

b)

$g\left(x\right)=\frac{4}{3}x-12$

c)

$g\left(x\right)=\frac{3}{4}x+16$

d)

$g\left(x\right)=\frac{4}{3}x+16$

12.

A relationship is represented by the function $f\left(x\right)=50+0.15x$ . Which of the following would be the best description of the relationship?

a)

A car rental company charges 15 dollars for gas plus a 50-dollar drop off fee.

b)

A salesperson earns 15% of all sales over $50.

c)

A cell phone company charges $50 per month plus $0.15 per minute used

d)

You can download 50 songs for free, then you must pay $0.15 per song after that.

13.

Jackson ran a marathon. He ran 6 miles per hour. The table shows how many miles he had completed after each hour. Which equation models Jackson’s distance in miles, y , for the number of hours, x ?

a)

$y+3=6\left(x+18\right)$

b)

$y-3=6\left(x-18\right)$

c)

$y-18=6\left(x-3\right)$

d)

$y+18=6\left(x+3\right)$

14.

The graph of $-16x-4y=8$ is shown on the grid.

Which ordered pair is in the solution set of

-16x\ -4y<8

?

a)

$\left(0,-2\right)$

b)

$\left(2,\ 1\right)$

c)

$\left(-5\ ,\ 2\right)$

d)

$\left(-2,\ -3\right)$

15.

A system of equations is graphed on the grid.

a)

b)

c)

d)

16.

What is the slope of the line that passes through the points:

( -26, -11 ) and (39, 34) ?

a)

$-\frac{9}{13}$

b)

$\frac{13}{9}$

c)

$-\frac{13}{9}$

d)

$\frac{9}{13}$

17.

$\frac{1}{3}\left(8x+9\right)=\frac{8}{3}x+12-\frac{1}{3}x$

What is the solution to the equation above.

a)

3

b)

27

c)

$\frac{1}{27}$

d)

$\frac{1}{3}$

18.

The graph shows the relationship between the number of cakes and number of pies a club must sell in order to meet their fundraising goal. Which of the following statements best represents the y-intercept of the graph?

a)

The maximum number of cakes the club needed to sell to reach their goal

b)

The number of pies sold for every cake sold

c)

The maximum number of pies the club needed to sell to reach their goal

d)

The number of cakes sold for every pie sold

19.

The graph of a quadratic function r(x) is shown . What is the value of r( -3 ) ?

a)

-4

b)

0.7

c)

3

d)

4

20.

What is the y-intercept of the linear equation $6x-4y=24$

a)

-6

b)

$\frac{-6}{-4}$

c)

$\frac{6}{4}$

d)

6

21.

If f (x) = x , which of the following best represents the graph of $g\left(x\right)=\frac{1}{3}f\left(x\right)$

a)

b)

c)

d)

22.

Which of the following is equivalent to:

y = mx + b

a)

$m\ =y-b-x$

b)

$m=\frac{y+b}{x}$

c)

$m=\left(y-b\right)x$

d)

$m=\frac{y-b}{x}$

23.

The graph shows the temperature of a substance as it is being heated over a period of time. Which of the following best describes the rate of change of the temperature of the substance with respect to the time the substance has been heated?

a)

The temperature is increasing approximately 3.125 degrees per minute.

b)

The temperature is increasing approximately 0.8 degrees per minute.

c)

The temperature is increasing approximately 0.16 degree per minute.

d)

The temperature is increasing approximately 6.25 degrees per minute.

24.

Which graph best represents :

6x - 5y = 15

a)

b)

c)

d)

25.

What is the equation of the line perpendicular to x-axis and is 3 units to the left of the y-axis?

a)

x = -3

b)

x = 3

c)

y =-3

d)

y=3

26.

Which of the following represents the domain for the graph above?

a)

$x\ge-5$

b)

$f\left(x\right)\le3$

c)

$f\left(x\right)\ge3$

d)

$x\le5$

27.

Which equation represents the line that passes through the point ( 6, 1) and has a slope of $\frac{2}{3}$

a)

$h\left(x\right)=\frac{2}{3}x-3$

b)

$y=\frac{2}{3}x-5$

c)

$g\left(x\right)=-3x+\frac{2}{3}$

d)

$g\left(x\right)\ =\ \frac{2}{3}x+3$

28.

What is the equation in slope-intercept form of the line that passes through the point and is parallel to the line represented by:

-5x+y=2 ?

a)

$y=\frac{1}{5}x+6$

b)

y = 5x+4

c)

$y=-\frac{1}{5}x+8$

d)

y= -5x+7

29.

What value of m makes the equation $14-2(6-3m)+4m=4(2m-7)$

(a)

30.

Given the system of linear inequalities, determine the solution set: $y>4x-3$ , $x-2y\ge-4$

a)

b)

c)

d)

31.

Which inequality best describes the domain of the graph?

a)

$-4\le x<3$

b)

$-4<g\left(x\right)\le3$

c)

$-7<x\le5$

d)

$-7\le g\left(x\right)<5$

32.

What is the slope of the line (no spaces) $2x-4y=8$

(a)

33.

The perimeter of a rectangle is 52 centimeters. The length of the rectangle can be represented by (x+6) and it's width can be represented by (3x-4). What is the value of x?

a)

6

b)

7

c)

12.5

d)

13.5

34.

Which equation is best represented by the graph?

a)

$y+7=-\frac{3}{4}\left(x-4\right)$

b)

$y-7=-\frac{4}{3}\left(x+4\right)$

c)

$y-7=-\frac{3}{4}\left(x+4\right)$

d)

$y+7=-\frac{4}{3}\left(x-4\right)$

35.

Given $q\left(x\right)=-2\left(x-7\right)^2+3$ ,

what is the value of

q\left(-5\right)

?

a)

11

b)

-143

c)

145

d)

-285

36.

The table below represents a constant rate. What is the rate at which gene copies are being made?

(a)

37.

A farmhouse shelters pigs and ducks. There are 6 more pigs than ducks. Altogether there are 36 legs in the shelter. Which system represents this information?

Which system of equations can be used to determine p , the number pigs and d, the number of ducks in the shelter?

hint: pigs have 4 legs and ducks have 2

a)

$2p+4d=36$
$p=d+6$

b)

$4p+2d=36$
$p=d+6$

c)

$2p+4d=36$
$d=p+6$

d)

$4p+2d=36$
$d=p+6$

38.

Which table does NOT show

y as a function of x?

a)

b)

c)

d)

39.

What is the equation in slope-intercept form of the line that passes through the point (-2 , 0), and is perpendicular to the line represented by $h\left(x\right)=-2x+5$

a)

$g\left(x\right)=-\frac{1}{2}x-1$

b)

$g\left(x\right)=\frac{1}{2}x-1$

c)

$g\left(x\right)=-\frac{1}{2}x+1$

d)

$g\left(x\right)=\frac{1}{2}x+1$

40.

Which inequality is best represented by the graph?

a)

$y\ge\frac{3}{4}x-4$

b)

$h\left(x\right)<\frac{3}{4}x-4$

c)

$g\left(x\right)>\frac{4}{3}x-4$

d)

$z\left(x\right)>\frac{3}{4}x-4$

41.

What is one of Coach Ortiz favorite Christmas movies ?

A picture is shown above

a)

The Grinch

b)

The Polar Express

c)

Elf

d)

A Christmas Story

42.

Coach Ortiz see's this shirt as fire🔥🔥🔥

He is a size extra large, would make a nice 🎁

What is it called?

a)

Above it All

b)

Man of Your Word

c)

It Might get Loud

d)

Million Little Miracles

e)

Still Holy

43.

YOU GOTTA GET THESE FOR COACH GOAT ORTIZ PLEASE I WOULD FOR SURE ROCK, I am size 12 , I know I usually wear a size 11.5, but these run small.

What are they called? you have to zoom in to find

a)

Flip Flop

b)

It might get Loud Yeezy's

c)

Man of your Word Yeezy Edition

d)

ADIDAS Yeezy Foam RNNR

44.

This band was #1 on Coach Ortiz spotify wrapped,
what is the name of the band?

a)

Elevation Worship

b)

Bethel

c)

Sunday Service Choir

d)

Cory Asbury

e)

THE ONE AND ONLY MAVERICK CITY

45.

Who is this?

Hint: Greatest Of All Time.

If you pick wrong, not my fault.

a)

Coach Ortiz

b)

Not Coach Ortiz

46.

This is one of Coach Ortiz favorite restaurants what is it called?

a)

Blue Iguana

b)

Rancho Grande

c)

Taqueria El Real

d)

LUPE TORTILLA

47.

How many solutions does the equation below have?
5 + 2(n + 1) = 2n

a)

Identity

b)

One Solution

c)

No Solution

d)

Two Solutions

48.

What are the rate of change and the y-intercept of a line that passes through the points (-3, 1) and (7, -5)?

a)

$m=-\frac{3}{5}\ ,\ \left(\ 0,\ -\frac{4}{5}\right)$

b)

$m=-\frac{5}{3}\ ,\ \left(-4,0\right)$

c)

$m=-\frac{4}{5}\ ,\ \left(-\frac{3}{5}\ ,\ 0\right)$

d)

$m=\ -\frac{3}{5}\ ,\ \left(0,\ -4\right)$

49.

Identify the Zero (x-intercept):
$y-3=13(9x-27)$

a)

$\left(\frac{116}{39},0\right)$

b)

$\left(0\ ,\ 2.97\right)$

c)

$\left(0,\ \frac{348}{117}\right)$

d)

$\left(\frac{117}{348},\ 0\right)$

50.

Identify the y-intercept:
$y-3=13(9x-27)$

a)

$\left(348,0\right)$

b)

$\left(0\ ,\ -348\right)$

c)

$\left(0,\ 348\right)$

d)

$\left(-1,-348\right)$

51.

Rewrite the equation in slope-intercept form and identify the slope and y-intercept.

$3x-6y=18$

a)

$\left(0,-3\right)\$ , $y=\frac{1}{2}x-3$ m=1/2

b)

$\left(-3,0\right)\ ,\ y\ =\ -\frac{1}{2}x\ -6$ m=-1/2

c)

$\left(0,-3\right)\ ,\ y=\frac{1}{2}x\ +3$ m=1/2

d)

$\left(-3,0\right)\ ,\ y=\frac{1}{2}x\ -3$ m = 1/2

52.

a)

y < -2/5x - 4

b)

y > -2/5x - 4

c)

y ≤ -2/5x - 4

d)

y ≥ -2/5x - 4

53.

a)

x < - 5

b)

x > - 5

c)

x ≤ - 5

d)

x ≥ - 5

54.

Which of the following best describes the relation shown in the graph?

a)

The domain is all real numbers greater than or equal to -2 and less than 2

b)

The domain is all real numbers

c)

The domain is all real numbers greater than -2 and less than or equal to 2

d)

The domain is all real numbers greater than or equal to 1 and less than 5

55.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

56.

When is Christmas

a)

December 26th

b)

December 24

c)

December 25th

d)

December 2nd

57.

What is this movie?

a)

A Christmas Carol

b)

A Christmas Story

c)

The Santa Clause

d)

Santa Clause is Coming to Town

FINAL EXAM REVIEW ALGEBRA SEMESTER 1

Total questions: 57

Worksheet time: 4hrs 37mins

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