Free Printable Algebra Review for Sem 2 Final Exam

1.

The stem-and-leaf plot below gives the test scores for the 12 students in Mr. Jones' math class. Use the plot to answer the question.

How many students scored in the 70s?

(a)

2.

The stem-and-leaf plot below gives the test scores for the 12 students in Mr. Jones' math class. Use the plot to answer the question.

What is the highest score overall?

(a)

3.

The stem-and-leaf plot below gives the test scores for the 12 students in Mr. Jones' math class. Use the plot to answer the question.

What is the lowest score in the 80s?

(a)

4.

Each of 8 students reported the number of movies they saw in the past year. This is what they reported:

6, 19, 19, 12, 20, 4, 11, 11.

Find the median number of movies that the students saw.

a)

11 movies

b)

11.5 movies

c)

12.8 movies

d)

19 movies

5.

Each of 8 students reported the number of movies they saw in the past year. This is what they reported:

6, 19, 19, 12, 20, 4, 11, 11.

Find the mean number of movies that the students saw.

a)

11 movies

b)

11.5 movies

c)

12.8 movies

d)

19 movies

6.

The following list gives the number of siblings for each of 15 students. 3, 1, 2, 2, 4, 3, 2, 2, 3, 1, 0, 3, 4, 4, 4

Find the modes of this data set. (Choose all that apply)

a)

1

b)

2

c)

3

d)

4

7.

A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.

24, 3, 29, 24, 8, 38, 62

Find the range of the data set.

a)

24

b)

38

c)

54

d)

59

8.

Which graph represents this parabola.

y=x^2-10x+24

a)

b)

c)

d)

9.

Which graph represents the inequality?

y\le-x^{2\ }+6

a)

b)

c)

d)

10.

Does the parabola shown open upwards or downwards?

a)

upwards

b)

downwards

11.

What is the vertex of the parabola shown?

(Click the image to enlarge)

a)

(-2,-10)

b)

(-10,2)

c)

(-1,-9)

d)

(-9, -1)

12.

Select the correct equation for the axis of symmetry.

(Click the image to enlarge)

a)

y = -1

b)

x = -1

c)

y = -9

d)

x = -9

13.

Select the x- intercepts. (Select all that apply)

(Click the image to enlarge)

a)

(0,2)

b)

(2,0)

c)

(0,-4)

d)

(-4,0)

14.

Select the y - intercepts.

(Click the image to enlarge)

a)

(0,-8)

b)

(-8,0)

c)

(0,-4)

d)

(0,2))

15.

What is the value of the discriminant?

4x^2-9x\ +\ 1\ =\ 0

(a)

16.

How many real solutions does this quadratic equation have?

4x^2-9x\ +\ 1\ =\ 0

a)

0

b)

1

c)

2

17.

Select the correct factor of the quadratic function.

3x^{2\ }+20x\ -7

a)

$\left(x+1\right)\left(3x-7\right)$

b)

$\left(x+7\right)\left(3x-1\right)$

c)

$\left(x-7\right)\left(3x+1\right)$

d)

$\left(x-1\right)\left(3x+7\right)$

18.

Use to quadratic formula to solve. Then select the correct solutions.

3x^2-9x+4\ =0

a)

$\frac{9+\sqrt{129}}{6},\ \frac{9-\sqrt{129}}{6}$

b)

$\frac{-9+\sqrt{33}}{6},\ \frac{-9-\sqrt{33}}{6}$

c)

$\frac{9+\sqrt{33}}{6},\ \frac{9-\sqrt{33}}{6}$

d)

$\frac{9+\sqrt{33}}{3},\ \frac{9-\sqrt{33}}{3}$

19.

Evaluate the following.

\sqrt{\left(-7\right)^2}=

a)

49

b)

7

c)

-7

d)

undefined

20.

Evaluate the following.

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

a)

9

b)

-9

c)

3

d)

undefined

21.

Use the substitution method to solve this systems of equations, then choose the correct answers for x and y.

x=2y\ -11

4x\ +\ 5y\ =\ 8

a)

$x\ =\ -3$

b)

$x\ =\ 4$

c)

$y\ =\ -3$

d)

$y\ =\ 4$

22.

Solve this systems of equations, then choose the correct answers for x and y.

8x-3y\ =\ -14

-3x\ +\ 2y\ =7

a)

$x\ =\ -1$

b)

$x\ =\ 2$

c)

$y\ =\ -1$

d)

$y\ =\ 2$

23.

Charlie is serving his child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and let c be the number of chicken wings. Each french fry has 25 calories, and each chicken wing has 100 calories.

Charlie wants the total calorie count from the french fries and chicken wings to be at most 600 calories. Using the values and variables given, select the correct inequality describing this.

a)

$25f\ +\ 100c\ ≥\ 600$

b)

$25f\ +100c\ ≤\ 600$

c)

$100f\ +\ 25c\ ≤\ 600$

d)

$100f\ +\ 25c\ ≥\ 600$

24.

Determine if the relation shown is a function.

a)

Function

b)

Not a function

25.

Determine if the relation shown is a function.

a)

Function

b)

Not a function

26.

Determine if the relation shown is a function.

a)

Function

b)

Not a function

27.

Determine if the relation is a function.

a)

Function

b)

Not a function

28.

Select the graph that has a slope of 5 and a y-intercept of -7.

a)

b)

c)

d)

29.

Find the slope of the line passing through the points (−4, 6) and ( 3, −8) .

a)

$\frac{2}{7}$

b)

2

c)

-2

d)

$-\frac{2}{7}$

30.

Which graph represents the following equation.

$y\ =\ 3$

a)

b)

c)

d)

31.

Which graph represents the following equation?

-2x+y=2

a)

b)

c)

d)

32.

Does the graph pictured represent a function? (click on the graph to enlarge).

a)

yes

b)

no

33.

Does the graph pictured represent a function? (click on the graph to enlarge).

a)

yes

b)

no

34.

Does the graph pictured represent a function? (click on the graph to enlarge).

a)

yes

b)

no

35.

Does the graph pictured represent a function? (click on the graph to enlarge).

a)

yes

b)

no

36.

Does the graph pictured represent a function? (click on the graph to enlarge).

a)

yes

b)

no

37.

Does the graph pictured represent a function? (click on the graph to enlarge).

a)

yes

b)

no

38.

I am ready for the final exam.

a)

Yes, I'm ready.

b)

I think I will study a little more.

c)

I plan on studying a lot this weekend.

d)

Are we really having a final exam?

Algebra Review for Sem 2 Final Exam

Total questions: 38

Worksheet time: 1hrs 1mins

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