Free Printable Final Exam Semester 1 Practice

1.

Which equation does not belong with the other three?

a)

$x+2=5$

b)

$\frac{x}{3}=1$

c)

$x-4=7$

d)

$4x=12$

2.

Solve for d

$-9d=72$

a)

-8

b)

8

c)

-648

d)

81

3.

$\frac{4}{5}x=20$

Solve for x

a)

x=25

b)

x=20

c)

x=100

d)

x=80

4.

A football costs $25. If sales tax is 7%, which equation can be used to find the amount of tax?

a)

$t=0.07\times25$

b)

$0.07t=25$

c)

$t=25+0.07$

d)

$t=\frac{25}{0.07}$

5.

$8x+3=27$
Solve for x

a)

x=3

b)

x=-3

c)

x=3.75

d)

x=-3.75

6.

$3\left(x-2\right)+x=3\left(x-6\right)$

Solve for x

a)

x=12

b)

x=-12

c)

x=24

d)

x=-24

7.

Translate the equation 4x-5=3(x+2) into a verbal sentence.

a)

Four times the difference of x and five equals three times the sum of x and two.

b)

Four times x less than five is the same as three times x plus two

c)

The sum of four times x and five is three times the sum of x and two

d)

The difference of four times x and five is three times the sum of x and two

8.

$\frac{1}{4}\left(8x+24\right)=5x+3\left(x-6\right)$

Solve for x

a)

x=6

b)

x=-6

c)

x=4.5

d)

x=-4.5

9.

$\left|4n+8\right|=16$

Solve for n

a)

2 and -6

b)

-2 and 6

c)

8 and 6

d)

-8 and -6

10.

$Translate\ 5x+7\ge2$ into a verbal sentence

a)

Five times the sum of x and seven is greater than two.

b)

Five times x, increased by seven, is less than or equal to two

c)

The product of five and x, increased by seven, is greater than or equal to two.

d)

Seven more than the product of five and x is greater than two.

11.

Which inequality is different?

a)

x is no more than 12

b)

x is less than or equal to 12

c)

x is at most 12

d)

x is no less than 12

12.

Translate “five is less than the sum of twice a number and nine” into an inequality. Solve the inequality.

a)

$5<2n+9\ ;\ n>-2$

b)

$5>2n+9\ ;\ n<-2$

c)

$5<n+2+9\ ;\ n>-6$

d)

$5>2+n+9\ ;\ n>6$

13.

Solve for t
$2t-7>15$

a)

t>11

b)

t>10

c)

t<-11

d)

t<-10

14.

An error was made while solving the inequality -4(2x-3)>5x-14 . Choose the step where the error was made.

a)

$-8x+12>5x-14$

b)

$-13x+12>-14$

c)

$-13x>-26$

d)

$x>2$

15.

Which compound inequality is represented by the graph?

a)

$5\le x+2<11$

b)

$10<2x+4\le22$

c)

$5\le x+2\le11$

d)

$10\le2x+4<22$

16.

Solve for x

$5x-3\le22$

a)

$x\le5$

b)

$x\ge5$

c)

All Real Numbers

d)

No Solution

17.

Which of the following is a linear function?

a)

$y=x^2+4$

b)

$y=\sqrt{x}-2$

c)

$y=\frac{1}{2}\left(x-4\right)$

d)

$y=\frac{2}{x}+3$

18.

If $f\left(x\right)=3x+12$ , find the value of x so that $f\left(x\right)=36$

a)

120

b)

16

c)

24

d)

8

19.

a)

$f\left(h\right)=5h+10$

b)

$f\left(h\right)=10h+5$

c)

$f\left(h\right)=5h+15$

d)

$f\left(h\right)=10h+15$

20.

What is the equation of the graphed line, written in slope-intercept form.

a)

$-3x-5y=15$

b)

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

c)

$3x+5y=15$

d)

$y=-\frac{3}{5}\left(x-5\right)$

21.

A line contains the point (0,7) and has the same slope as the line 3x+y=4. Which of the following is the equation of the line in slope-intercept form?

a)

3x+y=7

b)

y=-3x+4

c)

y-7=-3x

d)

y=-3x+7

22.

The function f(x)=x is translated 4 units left and 3 units up. Which function represents the transformation?

a)

$g\left(x\right)=\left(x+4\right)+3$

b)

$g\left(x\right)=\left(x-4\right)+3$

c)

$g\left(x\right)=\left(x-3\right)+4$

d)

$g\left(x\right)=\left(x+3\right)-4$

23.

The formula for the volume of a cylinder is $V=\pi r^2h$

a). Solve the formula for h.

b). Use the formula from part (a) to find the height of the cylinder with a radius of 4 centimeters and a volume of $64\pi$ cubic centimeters.

a)

$\frac{V}{h}=\pi r^{2\ };\ 4cm$

b)

$h=\frac{V}{\pi r^2}\ ;\ 4cm$

c)

$h=\frac{V}{\pi r^2}\ ;\ 4\pi\ cm$

d)

$h=\frac{V}{\pi r^2}\ ;\ 6cm$

24.

You are permitted a 50-pound check bag for free on your flight to Florida. Your bag weighs 32 pounds.

a. Write and solve an inequality that represents how much weight you can add to your bag.

b. Can you add your 5-pound algebra book and your 6-pound biology book without going over the weight limit?

a)

$32+x\le50\ ;\ yes,\ the\ weight\ will\ be\ under\ 50$

b)

$32x\le50\ ;\ no,\ the\ weight\ will\ be\ over\ 50$

c)

$32-x\le50\ ;\ yes,\ the\ weight\ will\ be\ under\ 50$

25.

You want to average at least 90% on your algebra quizzes. So far, you have scored 93%, 97%, 81%, and 89% on your quizzes.

What must you score on your next quiz to have at least a 90% average for he five quizzes?

a)

88%

b)

90%

c)

100%

d)

80%

26.

Certain amusement park rides have minimum and maximum height requirements. To ride the roller coaster in Kiddie Land, you must be between 42 and 56 inches tall.

Write a compound inequality to represent the height requirements.

a)

$42<x<56$

b)

$42>x>56$

c)

$42\ge x\ge56$

d)

$42\le x\le56$

27.

Each mile you run (x), your body burns 125 calories. Write a function to represent this relationship.

a)

f(x)=125+x

b)

f(x)=x-125

c)

f(x)=125x

d)

f(x)=x/125

28.

Which equations are equivalent to y=mx+b?

a)

$y-b=mx$

b)

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

c)

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

d)

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

e)

$b=y-mx$

29.

Which equation is represented by the graph?

a)

$y=\frac{5}{8}x-\frac{9}{8}$

b)

$y=-\frac{8}{5}x+\frac{9}{5}$

c)

$y=-\frac{5}{8}x+\frac{9}{8}$

d)

$y=\frac{8}{5}x-\frac{9}{8}$

30.

a)

-3

b)

-2

c)

0

d)

2

e)

3

31.

Which linear function f has the values $f\left(0\right)=3\ and\ f\left(-4\right)=0$ ?

a)

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

b)

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

c)

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

d)

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

32.

Which of the following is the equation of the line that passes through the point (4, 2) and has a slope of 1/2? Select all that apply.

a)

$y-4=\frac{1}{2}\left(x-2\right)$

b)

$y=\frac{1}{2}x$

c)

$y-2=\frac{1}{2}\left(x-4\right)$

d)

$x-2y=0$

e)

$y+2=\frac{1}{2}\left(x+4\right)$

33.

Which of the following lines are perpendicular?

a)

$y=-\frac{1}{3}x-6$

b)

$y=-3x-10$

c)

$y=3x-26$

d)

$y=-3x+10$

34.

Solve using any method

$y=x+5$
$3x+y=25$

a)

x=5 and y=10

b)

x=4 and y=9

c)

x=10 and y=15

d)

No Solution

35.

Solve using any method

$x+y=1$
$-x+y=-1$

a)

x=1 and y=0

b)

x=0 and y=1

c)

No Solution

d)

Infinite Solutions

36.

How many solutions does the system of linear equations 6a+3b=12 and 6a-3b=12 have?

a)

one

b)

two

c)

none

d)

infinite

37.

Jill owes her parents $400. She saves $20 every week.

Write the equation of the line that illustrates this situation.

How long will it take her to pay back the $400?

a)

20x=400 ; Never

b)

400x=20 ; 5 weeks

c)

20x=400 ; 20 weeks

d)

400x=20 ; less than a day

38.

a)

$y\ge\frac{2}{3}x+1$

b)

$y\le\frac{2}{3}x+1$

c)

$y>\frac{2}{3}x+1$

d)

$y<\frac{2}{3}x+1$

39.

Which of the following is a solution of the system of inequalities shown below?
$y>x-3$
$y\le x+3$

a)

(0,5)

b)

(5,4)

c)

(1,-2)

d)

(2,6)

40.

Which of the following is not a solution of
$2x-3y\le12\ \$ ?

a)

(2,-5)

b)

(0,0)

c)

(4,-1)

d)

(-3,4)

41.

Write a function to represent the cost of mailing a stamped letter.

a)

$f\left(x\right)=0.21x$

b)

$f\left(x\right)=0.21x+1.12$

c)

$f\left(x\right)=0.21x+0.28$

d)

$f\left(x\right)=0.21x+0.49$

42.

a)

$f\left(x\right)=1.25x+10$ ; $10

b)

$f\left(x\right)=1.25x+10$ ; $11.25

c)

$f\left(x\right)=1.25x+11.25$ ; $11.25

d)

$f\left(x\right)=1.25x+11.25$ ; $10

43.

Find the slope of the line of fit.

Then determine whether the data show a positive, negative, or no correlation.

a)

$m=4\ ;\ positive$

b)

$m=8\ ;\ positive$

c)

$m=-4\ ;\ negative$

d)

$m=0\ ;\ no\ correlation$

44.

Which of the following lines are parallel to 3x+2y=6? Select all that apply.

a)

$y=-\frac{3}{2}x-4$

b)

$3x-2y=6$

c)

$3x=9-2y$

d)

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

e)

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

45.

You burn 20 calories per minute biking for x minutes and 10 calories per minute walking for y minutes. You spend a total of 90 minutes biking and walking and burn 1300 calories.

Write and solve a system of equations to determine how much time you spend on each exercise.

a)

20x+10y=1300 ; x+y=90 ; (40,50)

b)

20x+10y=90 ; x+y=1300 ; (40,900)

c)

20x+10y=1300 ; x+y=90 ; (50,40)

d)

20x+10y=90 ; x+y=1300 ; (900,40)

Final Exam Semester 1 Practice

Total questions: 45

Worksheet time: 23mins

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