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WorksheetsAlgebra 1 QF 2 Prep part 3
Total questions: 20
Worksheet time: 5hrs 0mins
The scatterplot below shows the The scatterplot below shows the relationship between the values of 12 relationship between the values of 12 homes and the monthly rent charged homes and the monthly rent charged for each home. for each home. Based on the line of best fit for the Based on the line of best fit for the scatterplot, what is the approximate scatterplot, what is the approximate value of a home that has a monthly value of a home that has a monthly rent of $900? rent of $900?
$125,000
$200,00
$275,000
450,000
y - 3 = (x - 2)
y + 3 = -2(x - 2)
y + 5 = (x + 2)
y + 3 = 2(x + 2)
The graph of which of the following equations has a slope of − 1/2 and an x-intercept of(− 6, 0)?
y = − 1/2x − 6
y = − 1/2x − 3
y = − 1/2x+3
y = − 1/2x+6
Jesse wants to purchase three binders and a backpack. If the backpack costs $16, which equation represents the situation in which x denotes the cost per binder purchased and y denotes the total cost of Jesse’s purchase?
y=16x
y=x+16
y=16x+3
y=3x+16
Which equation has a graph with a slope of −7
and an x-intercept of −5?
y+5=−7x
y+5=7x
y=−7(x+5)
y=−7(x−5)
Harry needs to buy hamburgers and hot dogs for a picnic. He has only $41.00 to spend and must buy AT LEAST 98 hamburgers or hot dogs. A store charges $0.50 per hamburger and $0.25 per hot dog. Which of the following is a possible way Harry might buy the hamburgers and hot dogs?
78 hamburgers and 20 hot dogs
69 hamburgers and 28 hot dogs
66 hamburgers and 33 hot dogs
64 hamburgers and 35 hot dogs
Tickets for a field trip cost $5 for students and $8 for adults. The total amount paid for tickets C can be found using the equation below, where s is the number of students who attend, and a is the number of adults.
C=5s+8a
Which equation is equivalent when solved for s in terms of C and a?
s=C/5−8a
s=C5+8a
s=(C−8a)/5
s=(C+8a)/5
Which equation is a simplified version of 4a+3b=6b−9a?
13a=9b
13a=3b
−5a=9b
−5a=3b
Solve −4x − 8y = 24 for y.
y=−1/2x − 3
y=−1/2x + 3
y=1/2x − 3
y=1/2x + 3
The mean test score, a, for three tests, b, c, and d, is calculated using the formula
a = (b+c+d)/3.
Which equation is equivalent to this formula solved for d, the score on the last test?
d=3a−3b−3c
d=3a+3b+3c
d=3a+b+c
d=3a−b−c
What are all the solutions for the equation |d+2|=10?
− 12 and − 8
− 12 and 8
− 8 and 12
8 and 12
What are all the solutions for the equation|q+9|= 3?
− 12 and − 6
− 12 and 6
-6 and 12
6 and 12
What is the solution of |y+4|≤11?
− 15 ≤ y or y ≤ 7
− 15 ≤ y ≤ 7
− 15 ≤ y
y ≤ 7
The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c = 6.5n+35,where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?
300
302
308
325
At 18 feet above ground level, Ryan stepped onto an escalator that descends at a constant rate of 1.5 feet per second. Ryan’s distance from the ground is given by the following formula, where d is the distance from the ground, in feet,and n is the number of seconds he has been on the escalator.
d = 18 − 1.5n
In how many seconds after Ryan steps onto the escalator will he be 8.25 feet from the ground?
5.5 seconds
6.5 seconds
12.5 seconds
17.5 seconds
The student council of a school wants to buy custom T-shirts with the school mascot printed on the shirts in 3 colors. They are buying the T-shirts from a company that charges $4.95 per shirt plus $0.45 per color used on each shirt. The company also charges an initial set-up fee of $55.00. The equation c = (4.95 + 1.35)n + 55 is used to compute c, the total cost of purchasing n shirts. What is the greatest number of T-shirts the student council can purchase from this company for $533.80?
76
93
96
118
Which inequality is the solution to
−32 ≤ 4x +12 < 64?
−8≤x<16
−11≤x<13
−5≤x<19
−2≤x<4
Which inequality is the solution to 7x+13+2(5x−3) > 7?
x>-17
x>0
x>1
x>17
A partially-filled water tank contains 300 gallons of water. Water is then pumped into the tank at a constant rate. After n minutes, the amount of water, W, in the tank is W=300+9n
gallons.
After how many minutes will W=450 gallons?
5
16 2/3
33 1/3
50
Each night, a hotel charges $70 for the first person in a room and $15 for each additional person in the room. If a room has n > 0 people, which expression represents the average price per person each night for that room?
70+15(n−1)
(70+15n) / n
(70(n−1)+15) / n
(70+15(n−1)) / n
