In the linear function f, f(0) = 8 and f(1) = 12. Which equation defines f?
Digital SAT Week 33

Quiz
•
Mathematics
•
12th Grade
•
Medium
Valerie Shepherd
Used 7+ times
FREE Resource
13 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
f(x) = 12x + 8
f(x) = 4x
f(x) = 4x + 12
f(x) = 4x + 8
Answer explanation
Remember that f(0) = 8 means (0,8)
f(1) = 12 means (1,12)
So which equation will work for these 2 points?
Try f(x) = 12 + 8 8 = 12(1) + 8??? nope
Try f(x) = 4x + 12 8 = 4(0) + 12??? nope
Try f(x) = 4x 8 = 4(0) ??? nope
Try f(x) = 4x + 8 8 = 4(0) + 8 yep
12 = 4(1) + 8 yep
so f(x) = 4x + 8 is the equation created by these points
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If the width of the rectangle is 14 ft, then the area of the rectangle is 1,176 ft^2.
If the width of the rectangle is 14 ft, then the length of the rectangle is 1,176 ft.
If the width of the rectangle is 1,176 ft, then the length of the rectangle is 14 ft.
If the width of the rectangle is 1,176 ft, then the area of the rectangle is 14 ft^2.
Answer explanation
The directions say the w represents the width and the answer is the area, so we are looking for statement that uses 14 and 1176 in the same way. 14 is the width and 1176 is the area
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The circle shown has center O, circumference 144π, and diameters PR and QS. The length of arc PS is twice the length of arc PQ. What is the length of arc QR?
24π
48π
72π
96π
Answer explanation
since PR is a diameter it is cutting the circle into 2 halves each half circumference is 72pi
The semicircle QPS is made up of arc QP and arc PS
QP +PS = QPS = 72pi
PS = 2QP so
QP+ 2QP = 72pi
3QP = 72pi
QP = 24pi
QR and PS are the same size which is 2 QP so
2(24pi) = 48pi
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A company that provides whale-watching tours takes groups of 21 people at a time. The company’s revenue is 80 dollars per adult and 60 dollars per child. If the company’s revenue for one group consisting of adults and children was 1,440 dollars, how many people in the group were children?
3
9
12
18
Answer explanation
there are going to be 21 people on the boat. so if there are 3 kids there will be 18 adults,
if there are 9 kids there will be 12 adults
if there are 12 kids there will be 18 adults,
if there are 18 kids there are 3 adults.
Also each kid is worth $60 and each adult is worth $80 and we know we got $1440
60C + 80A = 1440
now we need to test each case:
60(3) + 80(18) = 1440??? nope
60(9) + 80(12) = 1440??? nope
60(12) + 80(9) = 1440???? yep
so 12 kids and 9 adults
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The function h is defined by h(x) = 4x + 28. The graph of y = h(x) in the xy-plane has an x-intercept at (a, 0) and a y-intercept at (0, b), where a and b are constants. What is the value of a + b?
A) 21
B) 28
C) 32
D) 35
Answer explanation
x intercept is where y = 0 and y intercept is where x = 0
0= 4x + 28
-28 = 4x
-7 = x (-7,0) for x intercept
y = 4(0) + 28
y = 0 + 28
y = 28 (0,28) for y intercept
so adding would be -7 + 28 = 21
6.
FILL IN THE BLANK QUESTION
3 mins • 1 pt
Answer explanation
This is a good time for desmos
When you put this in you will see that the graph goes through the x axis three times (0, -8 and -13)
Now you have to understand that this makes the three factors
x (x+8) and (x + 13)
So the smallest POSITIVE will be at +8
7.
FILL IN THE BLANK QUESTION
3 mins • 1 pt
Answer explanation
So this is a quadratic equation since we have x^2. If there is "one distinct real solution" then it only touches the x axis one time
Back in algebra 1 we learned that this makes the discriminant 0
discriminant is b^2 - 4ac. So let's solve that equation.
A = 1, B = 8 and C = a+1.5
0 = (8^2) - 4(1)(a+ 1.5)
0 = 64 - 4a - 6
0 = 58 - 4a
-58 = -4a
a = 14.5
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Equation Perimeter

Quiz
•
3rd Grade - University
15 questions
ACT Geometry Practice

Quiz
•
11th Grade - University
17 questions
optimization review

Quiz
•
11th - 12th Grade
17 questions
Deductive Reasoning

Quiz
•
9th - 12th Grade
15 questions
Volume of Pyramids

Quiz
•
9th - 12th Grade
18 questions
2018 MCAS 10

Quiz
•
10th - 12th Grade
15 questions
Pythagorean Theorem Practice

Quiz
•
8th Grade - University
12 questions
Algebra 2 Mid Year Review

Quiz
•
11th Grade - University
Popular Resources on Wayground
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
33 questions
Unit 3 Summative - Summer School: Immune System

Quiz
•
10th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
36 questions
Prime and Composite Numbers

Quiz
•
5th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade
46 questions
Biology Semester 1 Review

Quiz
•
10th Grade