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WorksheetsALGEBRA FINAL LINEAR FUNCTIONS DAY 1
Total questions: 36
Worksheet time: 54mins
Francisca's property has a shape of a parallelogram with the dimensions shown. If the perimeter of the property is 300 feet what is the length of the shorter side?
120 ft
90 ft
60 ft
45 ft
15 ft
Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?
1/2d + 27
d + 27 = 58
1/2d + 27 = 58
1/2d - 27 = 58
2d + 27 = 58
It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?
2x + 3y ≤ 18
x + y ≤ 6
x + y ≤ 9
3x + 2y ≤ 18
x+y<3
The volume formula for a pyramid is given by the equation above. Which equation solves this formula for h?
h=1/3V(b)
h=3V(b)
Elber bought 11 binders and notebooks from the store and spent $45. Binders cost $6 each and notebooks cost $2.50 each. Which equations would you use to find the numbers of binders, b, and notebooks, n, she purchased
b+n=11
b+n=45
6b+2.5n=11
6b+2.5n=45
2.5b+6n=11
y<mx+b solve the inequality for x
x < m(y-b)
x > (-b+y)/m
x < (b-y)/m
x > m(b-y)
x < my+b
Solve :
2x - 5y = 11
3x + 2y = 7
( 4 , -2 )
( 2, -2 )
(3, -1 )
( 3, 1 )
Infinity Many Solutions
What is the solution?
(Hint: Both lines are graphed over each other)
One Solution
No solution
Infinitely Many Solutions
Two Solutions
Not Enough Information
Which company pays the most per pizza?
Bombinoe's Pizza
Little Squeezer's Pizza
Pizza Tent
Papa Ron's
Not enough information
Give the domain and range. Tell if it is a function.
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
Not enough information to determine range and domain.
What is the domain of the graph?
1 ≤ x ≤ 4
1 < x < 5
1 ≤ y ≤ 5
1 < y < 5
1 > x > 5
What is the apparent range of the function of x shown on the graph?
x≥1
x≥2
y≥1
y≥2
All real numbers
Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?
Ms. Brackemyer starts with 8 pencils and ends with 52.
After 8 days, Ms. Brackemyer has 52 pencils.
Ms. Brackemyer starts with 52 pencils and gets 5 more every day.
Every day, Ms. Brackemyer gets 12 new pencils until she has 52.
Ms. Brackemyer gets 8 new pencils until she has 52.
Choose all the coordinate pairs that are a solutions to the systems of inequalities.
(4,0)
(0,4)
The point of intersection of the two lines (1,1)
(0,0)
(8,-8)
Select the graph that correctly represents cost y, in dollars, to buy x grapefruits that cost $1.50 each.
The cost of the grapefruit should be a negative slope because it cost money to buy them so none of the graphs are correct
The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?
2 minutes
4 minutes
7 minutes
10 minutes
90 minutes
h(x) = 3x + 3
g(x) = -4x + 1
Find (h - g)(10)
-6
6
74
-74
72
j(k(11))=
9 - √17
4
2
√8
9√17
What is the vertex of the following function?
y= -4|x+2|+5
(-4,2)
(-2,5)
(-4,-2)
(2,5)
(-2,-5)
Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.
15x + 3x = 99 and 6 movies
15x + 3 = 99 and 6 movies
3x + 15 = 99 and 28 movies
3x + 99 = 15 and 28 movies
15x+99= 3 and 6 movies
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
The monthly fee
How much Rich pays per visit
The number of times Rich goes to the gym
The total cost at the end of the month
How much it cost Rick the first time he visits the gym each month
You planted flowers for the spring that grow 3 inches per week. After 3 weeks the flowers are 13 inches tall. Write a linear model to fit then situation, then find the plants starting height.
Write a function to model the flower and solve for the original height (b)
f(x) = 3x + b & f(3)=13
b= 4 inches
f(x) = 3x + 13 & f(x)=3
b= 13 inches
f(x) = 13h + b & f(3)=13
b= 13 inches
f(x) - 3w + 13= 4
b=13 inches
f(x) = 13h + b & f(13)=3
b= 13 inches
What is the value of the larger acute angle in the picture?
55
90
15
10
75
Given Quadrilateral ABCD is a parallelogram, what is the length of Side BC.
10
20
24
32
84
Select all numbers that are rational numbers.
What is the slope and y intercept of a line that is perpendicular to the given line and intersects at the point (0,3)
Slope is -2, y-intercept is -3
Slope is 1/2, y-intercept -3
Slope is 2, y-intercept is 3
Slope is -1/2, y-intercept is 3
Slope is 1/2, y-intercept is -1.5
About how many male math teachers would you expect to have in 2014?
40
30
35
45
50
The graph represents the relationship between the number of candy bars sold and the amount of profit made during the softball team's candy bar sale. Which is closest to the minimum number of candy bars that must be sold to make a $400 profit?
200
400
600
800
1000
Which arrangement of the pattern would use exactly 57 tiles?
Arrangement 10
Arrangement 12
Arrangement 15
Arrangement 18
Arrangement 19
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
-16, -21, -26, -31
5, -11, -27, -43
-16, -80, -500, -200
-16, -11, -6, -1
16, 21, 26, 31
Using the pictured graph, what is f(x)=-1?
-3
-2
4.5
No Solutions
Infinity Many Solutions
What is the solution to the systems:
y=-3x-2
6x+2y=-4
(6,2)
(-1,-5)
(-2,-8)
Infinity Many Solutions
No Solution
Which inequality represents the graph?
y≤1/2x-1
y≤3/2x+2
y≥1/2x-1
y>3/2x+2
y<3/2x-1
Which of the following tables represent could be a function of x? Check ALL that apply.
None of the tables have values that could represent a function
Which of the following could be the graph of a function of x? Check ALL that apply!
Robert made a graph to represent how far he traveled on a train.
Determine the average rate of the train, in miles per hour, for the 3 hours Robert was traveling.
180 mph
120 mph
60 mph
40 mph
The graph is not linear so you cannot find the average rate of change.
