File: Alg Readiness 2011 Answers.6.28.11
Updated: June 29, 2011 (No calculators allowed for any units)
Unit 1 * * *
1) Find the missing number in the equation
5/6 = x/36
2) For the following proportion, find x
7/8 = x/64
3) For the following proportion, find x
1/9 = x/36
4) Solve: 1/5 = x/25
5) Solve: 1/3 = x/12
6) Solve: 12 = x/4
7) Solve: 21/24 = x/8
8) Solve: 18/30 = x/5
9) Solve: 3/7 = 9/x
10) Solve: 5/6 = 25/x
11) Solve: 18/27 = 2/x
12) Solve: x/4 = 45/20
13) Solve: 20/44 = x/4
14) Write 5/55 as an equivalent fraction in lowest terms.
15) Write 7/21 as an equivalent fraction in lowest terms.
16) Solve: x/7 = 10/21
17) Solve: 18/12 = x/3
18) Solve: 5/15 = x/21
19) For the following proportion, find x
4/16 = x/24
20) Solve: 7/35 = x/20
21) Find the exact value of x in the equation
55/5 = x/16
22) Solve: 55/5 = 16/x
23) Solve: 5/45 = x/11
24) Solve: 7/8 = x/3
25) Solve: 2/3 = x/5
26) Solve: x/3 = 6/7
27) Solve: 13/11 = 4/x
28) A man that is 6 feet tall casts a shadow that is 20 ft long. A building casts a shadow that is 210 ft long. What is the height of the building?
29) A man that is 7 feet tall casts a shadow that is 21 ft long. A building casts a shadow that is 210 ft long. What is the height of the building?
30) Triangle JHK and triangle MLN are similar.
Find side LN and MN.
a.
b.
c. Create Question Below
31) Triangle ABC is similar to triangle DEF.
Find side EF and DF.
Create Question Below
32) What is the height of the see-saw?
33) What percent is:13/20
34) Convert 7/8 to a percent:
35) Convert 2/5 to a decimal:
36) At a dance, there are 5 nerds for every 4 geeks. If 54 total people are at the dance and the only people at the dance are geeks and nerds, how many of the total number of people at the dance are: (a)nerds, (b)geeks?
37) At a rough hockey game, Sam checks his body and finds that he has three bruises for every five cuts. If Sam has a total of 32 total bruises and cuts, how many cuts are on poor old Sam’s body?
Unit 2 * * *
38) What is the equation of the scatter plot?
39) State the line equation for the following graph.
40) State the line equation for the following graph.
41) State the line equation for the following graph.
42) State the line equation for the following graph.
43) State the line equation for the following graph.
44) State the line equation for the following graph.
45) State the line equation for the following graph.
46) State the line equation for the following graph.
47) In slope-intercept form what is the equation of the line below?
48) In slope-intercept form what is the equation of the line below?
49) Find the slope between points:
(-1, 4) and (5, 9)
50) Find the slope between points:
(3, 5) and (0, 4)
51) What is the slope between points (0, 5) and (0, 9)?
Solve the following both mathematically and graphically
52) In slope-intercept form write the equation of a line with a slope of -2 that passes through (-1, 3).
53) In slope-intercept form write the equation of a line that passes through (0, -2) and (3, 4).
54) In slope-intercept form write the equation of a line that passes through (-4, 5) and (4, 1).
55) In slope-intercept form write the equation of a line that passes through (1, 3) and (2, 5) [#38]
56) In slope-intercept form write the equation of a line that passes through (2, 2) and (6, 0) [#39]
57) In slope-intercept form write the equation of a line that passes through (-1, 3) and (1, -1) [#40]
58) In slope-intercept form write the equation of a line that passes through (-3, -6) and (-1, -2) [#41]
59) In slope-intercept form write the equation of a line that passes through (-6, -6) and (-3, -5) [#42]
60) In slope-intercept form write the equation of a line that passes through (-1, 6) and (1, -4) [#43]
61) In slope-intercept form write the equation of a line that passes through (0, -3) and (2, -5) [#44]
62) In slope-intercept form write the equation of a line that passes through (1, 5) and (-1, -5) [#45]
63) What are the next three terms in the pattern:
0, 5, 10, __, __, __?
64) What are the next three terms in the pattern:
-1.5, 0, 1.5, 3, ___, ___, ___?
65) What are the next three terms in the pattern:
5, 5.5, 6, 6.5, ___, ___, ___?
66) Given the following table, write the equation.
Term Number (x) / Term Value (y)1 / 2.5
2 / 4.5
3 / 6.5
4 / 8.5
a. Modify
b. Remove
c. Create Question Above
d. Create Question Below
67) Given the following table, write the equation.
Term Number (x) / Term Value (y)1 / 2.5
2 / 3
3 / 3.5
4 / 4
68) Given the following equation: y = 1/3 x + 3, predict the 99th term.
69) Given the following equation: y = 2x – 4, predict the 50th term.
70) Given the following table, write the equation.
Term Number (x) / Term Value (y)1 / 6
2 / 11
3 / 16
4 / 21
71) Find the equation of the following pattern
72) Analyze the graph below:
a) Identify the independent and dependent variables.
b) What was the height of the bean plant on Tuesday?
c) What was height of the bean plant on Thursday?
b. Modify
c. Remove
d. Create Question Above
e. Create Question Below
73) Analyze the graph below. It shows the average temperature in the United Kingdom between the years 1997 and 2006.
a) In what year was the temperature the highest?
b) What was the average temperature in Degrees Celsius in the year 2000?
b. Modify
c. Remove
d. Create Question Above
e. Create Question Below
f. Modify
g. Remove
h. Create Question Above
i. Create Question Below
74) Suppose you receive $12.50 every week in allowance from your parents. You want to purchase a video game that costs $150. How many weeks will you have to save up your allowance in order to buy the video game?
75) Suppose you receive $11 every week in allowance from your parents. If you do not spend any of your allowance for 9 months, how much money will you have saved? (Assume each month has only 4 weeks)
76) Solve: x – 9 = 45
77) Solve: x + 7 = 40
78) Solve: 4x = 44
79) Translate the following phrase into an algebraic expression: five divided by x.
80) Translate the following phrase into an algebraic expression: eight more than four times x.
81) Translate the following algebraic expression into a phrase: ½ x + 9
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82) Evaluate:
a) 20
b) 54
83) Find the inequality that makes the following statement true:
7/10 ? 2/3
84) 9 – (-4) = Modify
85) -3 + (-5) =
86) -2 – (-10) =
87) Evaluate: 6 1/4 – 1 1/8
88) Approximate the answer using Camaren’s Method.
a) b)
c) d)
89) A recipe for juice calls for the following ingredients:
§ 7 1/3 cups orange juice
§ 1/4 cup pineapple juice
§ 1/6 cup lemon juice
How much juice will this recipe make?
90) Evaluate: 32 – 6 ● 2
91) Evaluate: 8 ÷ 4 – (5 – 7)2
92) Evaluate: 16 ÷ 8 – (5 – 9)2
93) Solve the following right triangle for: cRemove Create Question Above
Create Question Below
o
o Modify
o Remove
o Create Question Above
o Create Question Below
94) Create Question Belo Solve the following right triangle for: c
95) Graph: y = - 4x
Unit 3
(If answers have p in them leave in this form).
96) Write the definition of an obtuse angle.
97) Write the definition of a straight angle.
98) Write the definition of an acute angle.
99) Name the 3 properties of a parallelogram.
100) Find the area of the following figure.
101) Find the area of the following figure.
102) Find the area of the following figure.
103) Find the area of the following figure.
104) Find the area of a circle with a radius of 4 cm.
105) Find the area of a circle with a radius of 3.5 cm.
106) Find the perimeter of the following figure.
107) Determine if the following is a proportion:
3/5 ? 6/15
108) Find the circumference of a circle with a diameter of 20 ft
109) Find the circumference of a circle with a diameter of 10 cm.
110) Find the circumference of a circle with a radius of 7 ft
111) Are these two figures proportional?
112) Identify the following transformation.
113) Identify the following transformation.
o
o
o Modify
o Remove
o Create Question Above
o Create Question Below
o
o Modify
o Remove
o Create Question Above
o Create Question Below
o
o Modify
o Remove
o Create Question Above
o Create Question Below
114) Identify the following transformation
115) Identify the following transformation
Unit 4
116) Solve: x – 6 = 16 Modify
117) Solve: x + 5 = 49
118) Solve: 3x = 33
119) Solve the following right triangle for: a
120) Solve the following right triangle for: a
121) At a restaurant, Kathy and three of her friends decide to split the bill evenly amongst all four people. If each person pays $13.50, how much is the total bill?
122) There is special at the local drug store on office paper. You can buy 5 reams of paper for $20.00. How much would you pay for 3 reams of paper?
123) Convert 60 mph to feet per second
124) What is 15% of 250?
125) What is 15% of 30?
126) 30% of what number is 15?
127) What percent of 200 is 5?
128) A football team won 40% of their 25 games. How many games did they win?
129) You buy a shirt that is on sale for 30% off. If the original price is $40, how much is the sale price?
130) You buy a item that is on sale for 20% off. If the original price is $30, how much is the sale price?
131) You spend 20% of you paycheck each month on utilities. If your paycheck is $4000 a month, how much do you spend on utilities?
132) Which is a better buy for Bathroom Cleaner?
11 ounces for $7.70 or 6 ounces for $4.50.
Unit 5 (If answers have p in them leave in this form).
133) What is the name of the following figures? Modify
(a)(b) Remove
134) What is the surface area and volume of the figure below?
135) What is the surface area and volume of the figure below?
136) If the following figure has a base area equal to 13 cm2 and a height of 5 cm, what is the volume of the figure?
137) Prove how to find the simplified formula for the surface are of a cylinder.
138) What is the surface area and volume of a cube with a side equal to 5 cm?
139) Find the exact surface area and volume of a cylinder with diameter of 10 cm and a height of 20 cm.
140) Find the exact surface area and volume of a cylinder with diameter of 14 cm and a height of 4 cm.
141) Find the exact surface area and volume of a cylinder with a diameter of 12 cm and a height of 5 cm.
142) a) What is the minimum amount of aluminum
needed to make a can that has a radius of 2 cm and a height of 16 cm?
b) How much water could you put into this can?
143) a) What is the minimum amount of aluminum
needed to make a can that has a diameter of 6 cm and a height of 7 cm?
b) How much water could you put into this can?
144) How is the volume affected? Complete the table below for rectangular prisms.
Dimensions of rectangular prism are: / Volume Working out: / Volume increasesa) / doubled
b) / tripled
c) / Increased by a factor of 4
d) / Increased by a factor of 5
145) How does B’s volume compare to A’s volume?
146) How does B’s volume compare to A’s volume?
Unit 6
147) Find the mean, mode, median and range of the following data:
3, 5, 9, 10, 11, 3, 5, 5, 9, 8, 8, 12, 10, 10, 12
148) Find the mean, mode, median and range of the following data: 3, 5, 6, 6, 9, 9, 9, 10
d.
e.
f. Remove
g. Create Question Above
h. Create Question Below
149) Make a stem and leaf plot of the following data. Be sure to include a key
40, 19, 34, 71, 48, 25, 31, 27, 53, 23
150) Find the mean, mode, median and range of the following data: Key 7|8 = 78
151) Make a box and whisker plot for the data below:
50, 50, 55, 66, 67, 78, 99, 99, 100, 101
152) Make a box and whisker plot for the following data
12, 14, 15, 15, 11, 10, 9, 10, 9, 9, 5
153) a) What is the probability of rolling a 3 or a 4 on a
six-sided dice?
b) What is the probability of rolling a 1 on a six-sided dice and then rolling a 5?
c) What is the probability of rolling a 2 on a six-sided dice and then rolling a 7?
154) A jar has 3 green marbles, 7 red marbles, 8 blue marbles and 2 yellow marbles. What are the probabilities of picking the following?
Find the Probability / Probabilitya) / P(green)
b) / P(red)
c) / P(green or yellow)
d) / P(green and yellow)
e) / P(red and blue)
155) You go into a deli for lunch and have some choices to build a sandwich. There are 5 choice for bread (white, wheat, sourdough, rye, 8-grain), 4 choices of meats (turkey, ham, pastrami, roast beef), and 3 choices of cheeses (American, provolone, cheddar). How many sandwiches can be made from these choices?