Free Printable Final Exam Review

1.

Find the slope of the line that passes through these two points

(6, -14) and (20,16)

a)

15/7

b)

7/15

c)

-7/15

d)

-15/7

2.

The cost to rent a bicycle is $5 plus $2 per hour. What is the slope and what does it represent? (write an equation in slope-intercept to find slope)

a)

5; for each hour you rent the bike you pay $5

b)

2; for each hour you rent the bike you pay $2

c)

initial fee is $2

d)

initial fee is $5

3.

Solve the system of equations with the method of your choice

2x + 3y = 1

-3x + y = 15

a)

(-7,5)

b)

no solution

c)

(-4, 3)

d)

(-5,0)

4.

Solve the system of equations

8x + 2y = 13

4x + y = 11

a)

(5,-9)

b)

Indefinitely Many Solutions

c)

(0, 6.5)

d)

No solution

5.

A youth group and their leaders visited Mammoth Cave. 2 Adults and 5 Students in one van paid $77 for a tour. 2 adults and 7 students in a second van paid $95 for a tour. Find the adult price and student price of the tour.

a)

A: 9 S: 16

b)

A: 23 S: 7

c)

A: 16 S: 9

d)

A: 21 S: 7

6.

Which system of equations matches this situation?

Four times one number added to another number is 36. Three times the first number minus the other number is 20. Find the numbers

a)

4x - y = 36

3x + y = 20

b)

4xy = 36

-3xy = 20

c)

4x + x = 36

3y - y = 20

d)

4x + y = 36

3x - y = 20

7.

Solve for Y

4x + 2y = 10

a)

y = 2x + 5

b)

y = -2x + 10

c)

y = 2x + 10

d)

y = -2x + 5

8.

Solve for X

x - 4 = 6x + 26

a)

5

b)

-5

c)

6

d)

-6

9.

What is the solution of the equation?

$3-8x=\frac{8}{5}x$

a)

5/16

b)

-32/15

c)

16/5

d)

-15/32

10.

Solve for x

$5x-4\ge6+3x$

a)

$x\le5$

b)

$x\le-5$

c)

$x\ge5$

d)

$x\ge-5$

11.

What is the solution to the inequality?

$-2\left(h-5\right)<-12$

a)

$h>11$

b)

$h<11$

c)

$h<-17$

d)

$h>-17$

12.

Solve the inequality

$3\left(k-9\right)>3k+6$

a)

all real numbers

b)

$k>-\frac{7}{2}$

c)

$k>\frac{11}{2}$

d)

no solution

13.

What is the average rate of change of (-2,-8) and (2,4)

a)

3

b)

4

c)

6

d)

12

14.

What is the average rate of function from (1,10) and (3,40)

a)

10

b)

12.5

c)

15

d)

30

15.

A function is defined by the equation f(x) = -3x + 2. What is the average rate of change for the function on the interval from x = -2 to x =2?

a)

12

b)

-12

c)

3

d)

-3

16.

Find the slope of (4,0) and (2,-4)

a)

2

b)

-2

c)

0

d)

1/2

17.

What is the slope of the line?

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

a)

-3

b)

-1/2

c)

1/2

d)

3

18.

Find the vertex of this graph

a)

(0, 0)

b)

(-1, -2)

c)

(1, 2)

d)

Not enough info

19.

A toy rocket is launched vertically upward from a platform, then its height h after t seconds is given by the equation $h\left(t\right)=-16t^2+64t+80$

a)

80 feet

b)

144 feet

c)

64 feet

d)

-16 feet

20.

What are the roots of the quadratic? These are also known as the x-intercepts, zeroes and solutions!!

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

21.

Write an equation to represent the data in the table.

a)

y = 8x + 2

b)

y = 3x + 4

c)

y = 4x - 3

d)

y = 4x + 3

22.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

23.

What is the range of the graph?

a)

All real numbers

b)

To Infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

24.

What is the Range of this function?

a)

y> 0

b)

x> 0

c)

All Real Numbers

d)

y= 1

25.

What is the next term in the geometric sequence?

2, 4, 8, 16, __

a)

64

b)

32

c)

108

d)

20

26.

Is the sequence geometric, arithmetic, or neither?

3, 6, 9, 12

a)

neither

b)

arithmetic

c)

geometric

d)

none of the above

27.

Find the perimeter of the triangle

a)

$4x+64$

b)

$4x^2+64$

c)

$3x+50$

d)

$3x^2+50$

28.

Which expression is equivalent?

$\left(x^3+5x^2-2x-3\right)-\left(4x^2-6x^3+3x-8\right)$

a)

$6x^3+x^2-5x+5$

b)

$7x^3-x^2+5x-11$

c)

$7x^3+x^2-5x+5$

d)

$-5x^3+x^2-5x-11$

29.

Product of 2x and $5x^2-4$

a)

$10x^2-8x$

b)

$10x^3-4$

c)

$5x^2-2x-4$

d)

$10x^3-8x$

30.

Find the roots of the function below:

$x^2+4x+5=0$

a)

No real solution

b)

4,5

c)

1,5

d)

-5,-1

31.

What are the solutions of the function?

$12x^2-48x=0$

a)

-2,2

b)

-12,4

c)

-4,0

d)

0,4

32.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

33.

What are the solutions/roots/zeros of the graph shown above?

a)

2 and 6

b)

4 and 2

c)

6 and 9

d)

5 and 1

34.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

35.

Is the graph shown above a max or min?

a)

Minimum

b)

Maximum

36.

Write the point slope form of the equation of the line through the given points (0,2) and (-3,-2)

a)

$y=3\left(x-2\right)$

b)

$y=\frac{4}{3}\left(x-2\right)$

c)

$y=x-2$

d)

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

37.

Find the Product

$\left(4b+3\right)\left(7b+1\right)$

a)

$28b^2+25b+3$

b)

$42b^2+16b-10$

c)

$42b^2-10$

d)

$28b^2+3$

Final Exam Review

Total questions: 37

Worksheet time: 9hrs 15mins

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