practice midterm exam - 2017 - wikispacesmidterm+exam+-+20… · grade 8 algebra practice midterm...

OMS Grade 8 Algebra Practice Midterm 2017 0

Name: ________________________________ Teacher: ________________ Math Section: ____________

Oceanside Middle School

GRADE 8 ALGEBRA PRACTICE MIDTERM EXAMINATION

Midterm Exam: Thursday, 2/9/2017

GENERAL DIRECTIONS TO THE STUDENT

Print your name, your teacher's name and your Math section at the top of the page. Then

put your name, math section, math teacher’s name, and the date on the scantron for Part I.

This examination has four parts, with a total of 37 questions. You must answer all

questions in this examination. Write your answers to the Part I multiple-choice questions on the

scantron. Write your answers to the questions in Parts II, III, and IV directly in this booklet. All

work should be written in pen, except graphs and drawings, which should be done in pencil.

Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams,

graphs, charts, etc.

The formulas that you may need to answer some questions in this examination are found at

the end of the examination. This sheet may be removed from this booklet.

Scrap paper is not permitted for any part of this examination, but you may use the blank

spaces in this booklet as scrap paper. Two sheets of scrap graph paper are provided at the end of

this booklet for any question for which graphing may be helpful but is not required. Any work

done on these sheets of scrap graph paper will not be scored.

The use of any communications device is strictly prohibited when taking this examination.

If you use any communications device, no matter how briefly, your examination will be

invalidated and no score will be calculated for you. Your score will be recorded as a zero.

DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.

Notice...

A graphing calculator and a straightedge (ruler) must be available for you to use while taking

this examination.


Part I

Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit

will be allowed. For each question, write on the scantron the numeral preceding the word or

expression that best completes the statement or answers the question. [48]

1. Which of the following expressions is a trinomial in standard form? (1) 5x + 6 (3) 2x

2+ 5x + 6 (2) 25 - 3x + x2 (4) 5x

3 2. Expressed in factored form, the binominal 25x

2 – 49y2 is equivalent to

(1) (5x - 7y)2 (3) (5x -7y)(5x - 7y) (2) (5x + 7y)(5x + 7y) (4) (5x + 7y)(5x - 7y)

3. Which domain would be the most appropriate set to use for a function that

predicts the number of cookies you can buy with a certain amount of money?

(1) irrational numbers (3) integers (2) whole numbers (4) rational numbers

4. The equation for the volume of a cone is � � ��.

Solve for r, in terms of h and V.

(1) � � �� (3) � � �

��

(2) � � 3� �� (4) � � ��

Use this space for

computations.


5. Which expression is equivalent to x4 + 12x2 + 36?

(1) (x2 – 6)2 (3) (x2 – 12) (x2 + 36)

(2) (x2 + 6)2 (4) (x2 + 6) (x2 – 6)

6. If X = x3 + 4 and Y = -3x3 + x – 9, then X – Y equals?

(1) -2x

3 + x – 5 (3) 4x3 – x + 13

(2) -4x

3 + x + 13 (4) 4x6 + x – 5

7. Which ordered pair is not a function?

(1) {(1,3), (4,3), (7,3), (9,3)} (3) {(-1,2), (2,-1), (5,4), (4,5)}

(2) {(3,-2), (1,0), (0,-2), (3,3)} (4) {(6,7), (7,8), (8,9), (9,10)}

8. Which function has the same y-intercept as the graph shown?

(1) 2y + 6 = 2x (3) � � ��

(2) y – 3 = 4x (4) � � �� + 2

9. If f(x) = |5x – 3| + 4, find f(-5). (1) 32 (3) 24 (2) 26 (4) 28

Use this space for

computations.


10. 11. 12. 13.

14. If �� √� + 4, the domain of the function can be defined as:

Use this space for

computations.


15. 16. 17. Which ordered pair is in the solution set of � � � + 3 and � � 2� 2?

(1) (2, 3) (3) (-3, 2)

(2) � 1. 6 , 1. 3 � (4) (-2, 3)

Use this space for

computations.


18. 19.

Use this space for

computations.


20. Let f be a function such that f(x) = 2x + 4 is defined by the

domain -1 < x < 1. The range of this function is:

(1) (3) 0 < y < ∞

(2) 2 < y < 6 (4) -1 < y < 1

21. Simplify the product of (x + 4)(-2x2 + 4x – 1).

(1) -6x4 (3) -2x

3 – 4x2 + 15x – 4

(2) -2x2 + 12x + 4 (4) -2x

3 + 11x – 4

22. Nicholas and Kyle work at Toys R Us. Nicholas is paid $15 per week plus 10% of his total sales

in dollars, x, which can be represented by N(x) = 15 + 0.10x. Kyle is paid $200 per week

plus 1.5% of his total sales in dollars, x, which can be represented by K(x) = 200 + 0.015x.

Determine the value of x, to the nearest dollar, that will make their weekly pay the same.

(1) $2,177 (3) $2,176

(2) $1,609 (4) $1,608

23. If f(x) = 3 ∙ 2x and h(x) = f(x) - 2, how will the graph of f(x) be transformed to form h(x)? (1) translated up 2 units (3) translated right 2 units

(2) translated down 2 units (4) translated left 2 units

24. Which equation is represented by the accompanying graph?


Part 2 Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the

necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For

all questions in this part, a correct numerical with no work shown will receive only 1 credit. [16] 25. Express 24x

2 + 2x – 1as the product of two binomials.

26. Graph f(x) = │x│and g(x) = x + 4 on the grid. Does f(-2) = g(-2)? Use the graph to explain why or why not.

27. Sandy programmed a website’s checkout process with an equation to calculate the amount customers will be charged when they download songs. The website offers a discount. If one song is bought at the full price of $1.29, then each additional song is $0.99. State an equation that represents the cost, C, when s songs are downloaded.

28. If the sum (5x2 – x + 3) + (x2 – 2x + 9) is multiplied by

��x

2, what is the result in standard form?


29. Identify the rate of change and y-intercept of the linear equation 2x + 3y = 9.

30. Graph the function represented by 3 4+= xy

for the domain -9 < x < 7.

31. Which value of x satisfies the equation �� + �

" � �" ?

32. For what values of m and n are the equations the same? m = 9 – 2n 3m – 2n = 11


Part III

Answer all 4 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the

necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all

questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [16]

33. Solve for x: 5(2x – 6) = -4(-2x – 5) + 3x 34. Alex invests $17,500 in a savings account that pays 2.25% interest compounded annually. How much money will he have in the account after 12 years? Round to the nearest cent.


f(x) =

35. Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled

$15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90.

Write and solve a system of equations to determine the price of one plain pizza. (Only an algebraic solution will receive full credit.)

36. Graph the following function on the set of axes provided.

,42

1+x x < 2

-2x + 9 , x > 3


Part IV

Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary

steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For the question in

this part, a correct numerical answer with no work shown will receive only 1 credit. [6] 37. Graph the following system of inequalities, identify your solution set with an “S” and indicate a

possible solution. y > -2x + 4

y < x – 5

practice midterm exam - 2017 - wikispacesmidterm+exam+-+20… · grade 8 algebra practice midterm...

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