Mid – term Date:___________
Room:____________________
Integrated Algebra
Mid – Term Review Sheet # 2
Test Format:
Part I : 20 Multiple Choice
2 points each – No work shown - NO PARTIAL CREDIT
Part II: 5 Short Response
2 points each – Show all work - PARTIAL CREDIT
Part III : 4 : 5 point questions
Show All Work
Part IV:
3 : 10 point questions
or
Explain – PARTIAL CREDIT
Test Content: Integrated Algebra 1—Chapters 1 – 6, 8,11, 12, 13-1
Integrated Algebra 1H—Chapters 1-5, 11-13-1 and ALL HONORS TOPICS
*IH Question ONLY
1. Two trains leave the same station at noon traveling in opposite directions. One train travels 100
mph and the other 120 mph. AT WHAT TIME will the trains be 880 miles apart?
2. Find two consecutive integers such that the square of the first is 101 less than the square of the
second.
3. Solve and check: 14x + 3x -65 = 600 – 2x
4. Subtract (-2x2-4x+8) from (7x2+8x+3)
5. Express the areas of the figures below as polynomials in standard form.
a)
b)
2x+6
xy2
3x2-4x+6
3x-4
x
1

6. Solve:
x  20 x  9
7. Simplify: 5(3x+4y-z)+8y
8. What is the additive inverse of -5x+8?
9. Factor completely: a) 4x2+24
b) 3x2 – 27
10. Solve and graph on a number line and express your answer using interval notation: -11 < x – 4 < 8
11. Simplify: (4m2)3
12. What is the largest integer that would make -5x-6>34 a true statement?
13. Solve the equation for p in terms of m and t: 3p + 7pm = t
14. Express the product as a polynomial in standard form: (3x+4)(2x-5).
15. The area of a rectangle can be expressed as x2 – x -12. Express the area as the product of two
binomials.
16. Factor completely: x2 – 11x +30
17. Solve for x: 1.9 + 0.25x = 0.15
18. Simplify: 7x – 3(5-5x)
5
undefined?
10  2 x
20. Jay has twice the number of dimes as he has quarters. He has five more nickels than quarters.
Write an expression to represent the total number of coins that Jay has.
19. For what value of x is
21. Simplify: (3a+7)2
22. Graph on a number line: (x<-2)  (x>3)
Write this in interval notation.
23. Graph on a number line and write in interval notation: -5 < x < 2
24. Evaluate 2p3 + 3pq – q when p=-2 and q=-1
36r 3 s  81rs 2
25. Find the quotient:
 9rs
26. Complete this chart:
Number
Set
Integers
Integers
Whole Numbers
{…,2,4,6,…}
Operation
Closed/Not Closed?
Subtraction
Division
Subtraction
Squaring
27. Find the sum: 4x2 – 2x + 1 and -3x2 – 6x + 5
28. Find the product: (8r3sp4)(-3rs5p2)
29. Set U contains all integers greater than -10 and less than 10. Using proper set notation list the
members of the subset of Set U containing negative odd integers.
30. Which interval notation represents the set of all numbers from 2 through 7, inclusive?
1)
2)
3)
4)
31. Which interval notation represents the set of all numbers greater than or equal to 5 and less than
12?
1)
2)
3)
4)
32. The set
is equivalent to
1)
2)
3)
4)
33. The set
is equivalent to
1)
2)
3)
4)
34. Which set-builder notation describes
1)
2)
3)
4)
?
35. Max goes through the cafeteria line and counts seven different meals and three different
desserts that he can choose. Which expression can be used to determine how many different ways
Max can choose a meal and a dessert?
1) 7●3
2) 7!●3!
3) 7C3
4) 7P3
36. A certain car comes in three body styles with choices of two engines, a choice of two transmissions,
and a choice of six colors. What is the minimum number of cars a dealers must stock to have one car in
every possible combination?
1) 13
2) 42
3) 72
4) 36
37. How many different three-letter arrangements can be formed using the letters in the word
ABSOLUTE if each letter is used only once? 1) 56 2) 112
3) 168
4) 336
38. The 4 aces are removed from a deck of cards. A coin is tossed and one of the aces is
chosen. What is the probability of getting heads on the coin and the ace of hearts? Draw a tree
diagram to illustrate the sample space.
39. The length of the hypotenuse of a right triangle is 34 inches and the length of one of its legs is 16
inches. What is the length, in inches, of the other leg of this right triangle?
40. Don placed a ladder against the side of his house as shown in the diagram below.
Which equation could be used to find the distance, x, from the foot of the ladder to the base of
the house?
1)
2)
3)
4)
41. Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30
yards, as shown in the diagram below.
What is the length of the diagonal, in yards, that Tanya runs?
1)
2)
3)
4)
50
60
70
80
42. Nancy’s rectangular garden is represented in the diagram below.
If a diagonal walkway crosses her garden, what is its length, in feet?
1) 17
2) 22
3)
4)
43. A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below.
If the angle of elevation from the tip of the shadow to the top of the tree is 32°, what is the height of the tree
to the nearest tenth of a foot?
1) 13.2
2) 15.6
3) 21.2
4) 40.0
44. In right triangle ABC, the measure of angle C is 900, BC = 10, AB = 16. Find to the nearest tenth of a degree
the measure of the largest acute angle in the triangle?
45. A stake is to be driven into the ground away from the base of a 50-foot pole, as shown in the diagram below.
A wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 52°.
How far away from the base of the pole should the stake be driven in, to the nearest foot? What will be the
length of the wire from the stake to the top of the pole, to the nearest foot?
46. Which equation could be used to find the measure of one acute angle in the right triangle shown below?
1)
2)
3)
4)