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WorksheetsSemester Exam Review Part 2: Units 3 - 5
Total questions: 23
Worksheet time: 17mins
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year.
Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?
45,000x + 2,500x = 54,000 + 1,500x
45,000x + 2,500 = 54,000x + 1,500
45,000 + 2,500x = 54,000 + 1,500x
45,000x + 2,500x = 54,000x + 1,500
Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?
25
10
50
75
Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of 1.2 gallons per minute.
Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.
After how many minutes will both aquariums contain the same amount of water?
148 min
125 min
25 min
50 min
At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?
5x < 3x + 2
The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.
The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
What value of x makes this equation true?
12x - 15 = 6 - 3x
37
73
75
57
Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers.
Which statement is true about the slope of HK and the slope of PK ?
The slope of HK is less than the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK .
The slope of HK is equal to the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for HK than it is for PK .
The slope of HK is greater than the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for HK than it is for PK .
The relationship between the slope of HK and the slope PK cannot be determined, because the triangles are congruent.
The table shows the linear relationship between the number of hours Francis worked, x, and the amount of money Francis earned, y.
Based on the table, how much did Francis earn per hour?
$17.50 per hour
$14.00 per hour
$35.00 per hour
$24.50 per hour
The two lines graphed on the coordinate grid each represent an equation.
Which ordered pair represents a solution to both equations?
(-4 , 0)
(-3 , 3)
(3 , -3)
(0 , 4)
Two customers took out loans from a bank.
* Henry took out a 4-year loan for $5,000 and paid 4.2% annual simple interest.
* Ingrid took out a 6-year loan for $5,000 and paid 3.9% annual simple interest.
What is the difference between the amounts of interest Henry and Ingrid paid for their loans?
$417
$150
$60
$330
Which set of ordered pairs represents y as a function of x?
{(0 , 0) , (-1 , 2) , (-1 , -2) , (-2 , 4) , (-2 , -4)}
{(0 , 0) , (1 , 1) , (2 , 4) , (3 ,9) , (3 , 16)}
{(0 , 0) , (0 , 1) , (0 , 2) , (0 , -1) , (0 , -2)}
{(0 , 0) , (-1 , -0.5) , (-2 , -1) , (-3 , -1.5) , (-4 , -2)}
Gabriel deposits $2,500 into each of two sabings accounts.
* Account I earns 4% annual simple interest.
* Account II earns 4% interest compounded annually.
Gabriel does not make any additional deposits or withdrawals. What is the sum of the balances of Account I ans Account II at the endof 3 years?
$5,600.00
$5,612.16
$5,624.32
$5,200.00
The relation contains the points (1,2) , (2,-1) , (3,0) , (4,1) , and (5 , -1). Which statement accurately describes this relation?
The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
The relation represents y as function of x, because one value of y is associated with two values of x.
The relation does not represent y as function of x, because each value of y is associated with two values of x.
The relation represents y as a function of x, because each value of x is associated with a single value of y.
An employee put $5,000 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. Which amount is closest to the interest the employee will have earned at the end of 5 years?
$229.09
$450.00
$2,250.00
$2,693.12
An investor puts $2,500 into a life insurance policy that pays 8.5% simple annual interest. If no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 10 years?
$21,250.00
$2,125.00
$212.50
$21.25
Which representation shows y as a function of x?
Which Venn diagram correctly describes the relationship between the set of Integers, Z, and the set of Whole Numbers, W?
The track team had 5 students who competed in discus throwing. The table below shows for each student threw a discus at the the last track meet.
What was the students' average distance from the mean?
0 feet
33 feet
5.6 feet
28 feet
Angela collected the data displayed in the table below.
What is the mean absolute deviation for this set of data?
2.94
1.25
4.59
5.668
DeeAnne wants to survey the 8th grade students at her school to learn their opinions about field trips. Which sampling method is most likely to create a random sample that is representative of the population of 8th grade students at her school?
Choosing every 10th student in the 8th grade that enters the gym during 4th period.
Asking 8th grade students to volunteer for the survey.
Selecting the first 3 students from an alphabetized list in every 8th grade class.
Placing the school identification numbers of all 8th grade students in a bag and drawing 15 numbers without looking.
Which simulation would not generate a random sample representative of the population from which it was selected?
Using a random number generator to generate an identification number for the winner of the school door prize each week throughout the school year.
Spinning a spinner with 3 equally divided sections to determine students' favorite day of the week.
Using a computer model to select 3 students to represent the school on the float in the town parade.
Selecting students' names out of a bag to serve on the school mascot committee.
Last week, Carlos surveyed customers leaving Mega Food. Of the 500 people surveyed, 447 said that Mega Food was their favorite grocery store. Fom these survey results, Carlos concluded that Mega Food was the favorite grocery store among all the people in his town. Which is the best explanation for why his conclusion might not be valid?
The sample may not have been representative of all the people in Carlos' town.
Carlos asked every customer coming out of the store rather than asking every fifth customer who left the store.
The survey Carlos used did not ask how old the customers were.
The sample size was too small due to the population of the town being small.
A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best represents the ratio of orange juice to pineapple juice in this bottle?
