CAN YOU PLEASE SOLVE THIS.

10th grade Math Standard Midterm Exam 12/16/2020

Instructions to Candidates

A graphing calculator is allowed.

Criterion A and C problems #1-32 need exact answers with fractions and radicals simplified.

Criterion D problems #33-37 can have answers rounded to three significant figures or what makes sense in the real-world problem.

Name:

Block ______

This section of the assessment will be graded against Criteria A & Criteria C

Criterion A: Knowledge and Understanding Criterion C: Communication

0

The student does not reach a standard described by any of the descriptions below.

The student does not reach a standard identified by any of the descriptions below.

1-2

The student is able to:

• select appropriate mathematics when solving simple
• problems in familiar situations
• apply the selected mathematics successfully when solving these problems
• generally solve these problems correctly in a variety of contexts.

The student is able to:

• Use limited forms of mathematical representation to
• present information
• Communicate through lines of reasoning that are
• difficult to interpret

3-4

The student is able to:

• select appropriate mathematics when solving more
• complex problems in familiar situations
• apply the selected mathematics successfully when solving these problems.
• generally solve these problems correctly in a variety of contexts.

The student is able to

• Use appropriate forms of mathematical representation to
• present information adequately
• Communicate through lines of reasoning that are
• complete
• Adequately organize information using a logical
• structure

5-6

The student is able to:

• select appropriate mathematics when solving
• challenging problems in familiar situations
• apply the selected mathematics successfully when solving these problems.
• generally solve these problems correctly in a variety of contexts.

The student is able to

• Usually move between different forms of mathematical
• representation
• Communicate through lines of reasoning that are
• coherent and complete
• Present work that is usually organized using a logical
• structure

7-8

The student is able to:

• select appropriate mathematics when solving
• challenging problems in both familiar and
• unfamiliar situations
• apply the selected mathematics successfully when
• solving these problems.
• generally solve these problems correctly in a variety of
• contexts

The student is able to

• Move effectively between different forms of
• mathematical representation
• Communicate through lines of reasoning that are
• complete, coherent, and concise
• Present work that is consistently organized using a
• logical structure

y = mx + b ? = !""!!%&' (&

Level 1-2

1. True or False?

10th Math Standard Midterm 12/2020

a)-7Z ____ b)1N ____ c) !Q ____ d) 5Q ____ "

e) R ____ f) 3 R ____ g) 0 Z#____ h) All rational numbers are integers____ 2. Place a check mark in the appropriate box to show members of the set.

0

-4

23

1111 -2. 54

N= natural

Z= integer

Q = rational

R = jQuery22409311198361826538_1608139495355jQuery224030243550100627936_1608140676621

3. Consider the universe, U = {x| x 10, x Z#}, A = {2,3,5,6,9} B = {1,3,5,7,9,10} a) Show these sets on a Venn Diagram

b) List the elements of A ? c) List the elements of A ? d) List the elements of B'

4. A bag contains 4 green and 3 red marbles. Two marbles are randomly selected from the bag without replacement. Determine the probability that

a) both are green

b) they are different colors

5. Find the equation of the line that passes through (1, 7) and (-5, -3).

Simplify #6-10.

6. (5?"?)$(3?%?&)

8. (4?$ - 12c + 7) - (?$ + 2c - 5)

9. (12?$ + 4k)(2?$ + 3k - 2).

7. $'!()" *+'#($)%

10.a. 2 98+ 72

b. 5 6(2 8)

Level 3-4

11. Simplify so there are no radicals or i's in the denominator.

a. !# b. !%

#$

&'$%

12. a. Find the equation of the tangent to the circle with center (0, 2) at the point (-1, 5).

b. Find the equation of the perpendicular bisector of AB for A (3, 1) and B(-3, 6)

13.

14. Find the area of a triangle with sides 10, 10, and 16 cm.

15. Are the triangles similar? (yes or no) If they are similar then state the reason. a. ___________ b. ____________ c. _____________

16. Are the triangles congruent? (yes or no) If they are congruent then state the reason.

a. __________ b. ___________ c. ___________ d. ___________ 17. Solve for x using similar triangles.

10 12

70 X

70 8

18. Givenf(x)= 2x2 -3 andg(x)=4x+1, find a. f(-2) b. f (g(x))

19. Given the equation y = -2.5x +5

a. find the x- intercept and y - intercept

b. find f -1(x) [inverse of f(x) ]

20. A coin and a pentagonal spinner with sectors 1, 2, 3, 4 and 5 are tossed and spun respectively.

a) Draw a grid to illustrate the sample space of the combined outcomes.

b) How many combined outcomes are possible?

Use your grid to determine the chance of getting... c) a tail and a 3

d) a head and an even number

21. Solve the equation using any method.

a. (x-5)(2x+5)=0 b. (x+1)2 =-6

level 5/6

22. Solvebyfactoring ?$ +5?+6=0

23. Solve by factoring 4?$ + 2? + 1 = 13

24. Solve using the quadratic formula 2?$ 6? + 23 = 3. Leave your answer exact!

25. Solve by completing the square: ?$ + 6? + 1 = 0

26.

27. For what values of n does {n, n+1, n+2} form a Pythagorean triple?

28.a. Describe the end behavior.

b. Determine whether the graph represents an odd-degree or an

even-degree polynomial function. c. State the number of real zeros.

29. Use long division to find (10?"- 9?$ + 6y - 10) (2y + 3).

30.Is x-2 afactorof 5x3 -12x-10?

Level 7/8

31. There are 2 bags of peaches and a coin is tossed to determine which bag one peach is selected. Bag A has 5 ripe and 3 unripe peaches, and bag B has 6 ripe and 1 unripe peach.

a) Determine the probability that the peach is ripe.

b) Given that the peach is ripe, what is the probability it came from bag A.

32. make a quadratic equation BY ADDING -6 and " as its roots and has a y-intercept of 9. &

Level 1-2

33. The length of a rectangle is 7 inches longer than its width. If the area of the rectangle is 144 square inches, what are its dimensions?

34. In an AC circuit, the voltage E (in volts), current I (in amps), and impedance Z (in ohms) are related by the formula E = I Z. Find the current in a circuit with voltage 10 - 3j volts and impedance 4 + j ohms. (You may leave your answer in terms of j.)

Level 3/4

35. Two vehicles travel start at the same point. If the red sports car travels south at 80 mph and the gray minivan travels east at 45 mph, then how far are apart are the vehicles in 5 hours?

36.

Level 5-6

37. What is largest straw that can fit in a rectangular solid with dimensions 10 inches by 8 inches by 3 inches?

Level 7-8

38. The height h (in feet) of a certain rocket t seconds after it leaves the ground is modeled by h(t) = -16?$ + 48t + 15. Find the maximum height reached by the rocket.