UCS Advanced Math 7 SEM2 REVIEW GUIDE #1 STUDENT COPY
1 / Draw in a line of best fit and write an equation that relates hours worked and tips earned by wait staff.2 / Mr. Smith is a plumber. The amounts he charges for jobs of different lengths are shown below.
How can Mr. Smith calculate his charge for a 6-hour job?
3 / Two equations are shown below.
For each equation, explain whether it is linear or nonlinear. Use words, numbers and/ or pictures to show your work.
4 / Since Ken and Ron started their business, the money they have spent on supplies has increased every year.
What is the rate of increase in the cost of supplies?
5 / Write an equation based on the graph below.
6 / What is the car doing after 2.5 hours?
7 / Draw a triangle with two angles measuring 60 degrees each and a side length that is 5 units.
8 / Gregory talked with many friends and family members about the cost of car repairs.He then created a scatter plot of the data he collected.
Based on the line of best fit, if Gregory buys a
10-year-old car, about how much canhe expect
to spend on car repairs this year?
9 / Column A in the table shows the number of days that Jorge has been pet-sitting for his neighbor, and column B shows the amount of money he puts into his savings account each day.
How much money will be in Jorge’s savings account by the tenth day?
10 / Point D is first reflected over the y – axis, then reflected over the x – axis. The resulting image isD ’. The coordinates of D’ are (-8, -2). What are the coordinates of point D?
11 / Write the polynomial in simplest form.
12 / A cube has a volume of 27 cubic inches. What is the side length of the cube?
13 / On average, people blink their eyes 6,250,000 times in a year. How many times will a person blink his/her eyes in a span of 10 years? Write your answer in scientific notation.
14 / A weather satellite is circling Earth every 24 hours at a distance ofmiles from Earth’s center. About how far does this satellite travel when it makes one revolution around Earth? (Use 3.14 for .) Write your answer in scientific notation.
15 / Pat finds that the diameter of a pin head is 2 x 10-3. Write this number in standard form.
16 / What is the product of 5 x 104 and 7 x 10-2 expressed in scientific notation?
17 / Give an example of both a rational and irrational number.
18 / Write the numbers below in order from least to greatest.
19 / A scatter plot was constructed and a line of best fit was drawn. What is the equation for this line of best fit?
20 / The diagram below shows a triangular prism intersected by a plane.
What is the area of the cross section created by the plane?
21 / The diameter of a cylindrical garbage can is 24 inches. What is its approximate circumference? (Use 3.14 for .)
22 / What 3-dimensional solid is representedby the net to the right?
23 / Jorge’s father asked him to build a boxtohold firewoodfor their cabin. His fathertoldhim that the boxshould have a volume of 18cubic feetand it should be 3feetlong () by 2 feet wide (). However, Jorge did not hear how tall the box should be, sohe used the volume formula to determine the appropriate height. What should be the height () ofthe box?
24 / What is true about vertical angles?
25 / Bill and his father are building a tree fort with a slide. They still need to purchase the slide. There is enough space for the slide to come out8 feet from the fort. The height of the floor of the tree fort is6 feet.
What length of slide would be best for Bill and his father to use?
26 / Give 3 side lengths of a right triangle. How can you prove it is a right triangle?
27 / is a dilation of Find the scale factor.
28 / How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12-foot tall wall?
29 / Is the triangle with the given side lengths a right triangle? Justify your answer by showing work.
4 cm, 5 cm, 6 cm
30 / Find the distance of
31 / Jamie has a choice of either walking home from school or taking the bus. He expects that the probability of walking home from school is. What is the probability (as a fraction in lowest terms) that he will take the bus home?
32 / A quality-control inspector randomly selects 80 batteries from a conveyor belt. Of these batteries, 24 are defective. Based on this inspection, what is the probability that the next randomly selected battery will be defective?
33 / Frances is measuring how much crushed ice is needed to fill a snow cone cup level with the top. The diameter of the snow cone cup is 3 inches and the height is 6 inches.
What is the volume of the snow cone cup? Use 3.14 for .
34 / Kathy flipped a coin 25 times. The coin landed on heads 15 times. What percentage of the results landed on heads?
35 / A bag contains 3 blue marbles, 4 red marbles, and 5 green marbles. A student draws a marble, replaces the marble, and draws again. Find the probability that the student chooses (blue, then red) as a fraction in lowest terms.
36 / Theo thinks his math class performs better than Anna’s math class. The average grade of five students in Theo’s class is 91. The average grade of seventeen students in Anna’s class is 82. Why might Theo be incorrect?
37 / Monica is inspecting a shipment of parts for defects. The box has 10,000 parts. She removes 100 parts and inspects them, finding 4 defective parts. She replacesthese parts and removes another 100 parts. This time she finds 3 defective parts. How many defective parts would you expect there to be in the shipment?
38 / A student has to make some choices for lunch. He can pick between white or wheat bread, turkey or ham for lunchmeat, and pop, water or juice to drink. What is the probability that a student picks a turkey sandwich on white bread with water to drink?
39 / The box-and-whisker plot shows the test scores that students earned on the pre-test that they took before a unit was taught and the post-test that they took after the unit was taught. Which best describes the relationship between the two data sets?
A / No pre-test scores overlap with post-test scores.
B / All of the pre-test scores overlap with all of the post-test scores.
C / The lowest post-test score is lower than the highest pre-test score
D / The lowest pre-test score is equal to the lowest post-test score.
40 / Which data set has a median with the greatest value?
A / {4, 3, 6, 5, 3, 6, 4, 9, 4, 8} / C / {32, 40, 32, 50, 33, 36}
B / {32, 35, 65, 21, 32, 45, 34} / D / {86, 29, 28, 99, 33, 101, 30}
41 / A newspaper claims that during seven days, the high temperature in Utica was typically 6° warmer than the high temperature in Sterling Heights. What measure was used to make this claim? (mean, median, mode or range)
Daily High Temperatures (°F)
Sterling Heights
75 50 80 72 70 84 70
Utica
80 73 75 74 71 76 76