SAT Prep Cohort Warm-up #1
Authored by Amanda Howard
Mathematics
9th - 12th Grade
CCSS covered
Used 1+ times
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8 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
Recognize that (0, 2) is the y-intercept.
Using y = mx + b, the equation would be y = 5x + 2
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The initial cost of renting the boat
The total number of boats rented
The total number of hours the boat is rented
The increase in cost to rent the boat for each additional hour
Tags
CCSS.HSF.LE.B.5
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Answer explanation
Find the slope using the slope formula.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
6
7
8
9
Answer explanation
Recognize the y-intercept is -2.
Find the rate of change. The y-values are increasing by 6 as the x-values increase by 2.
6/2 = 3
So we can write the function in slope-intercept form:
f(x) = 3x - 2
Now we can find f(3):
f(x) = 3(3) - 2 = 7
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The age, in years, of a typical apple tree when it is planted
The height, in inches, of a typical apple tree when it is planted
The number of years it takes a typical apple tree to grow
The number of inches a typical apple tree grows each year
Answer explanation
Recognize that the equation given to us is in slope-intercept form.
y = 36 + 18x
We know the slope is 18 and the y-intercept is 36.
This question wants us to interpret the meaning of the 36. Think of the y-intercept as the starting height of the tree, or the height of apple tree when it was planted.
Tags
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
5
9
14
18
Answer explanation
We know from the graph that f(x) = 1/2 x + 3.
We know the slope of g(x) is four times the slope of f(x). So 4 * 1/2 = 2.
This means the slope of g(x) is 2 and we are told the y-intercept of g(x) is -4.
So g(x) = 2x - 4
Therefore, g(9) = 2(9) - 4 = 14
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
It has a negative slope and a positive y-intercept.
It has a negative slope and a negative y-intercept
It has a positive slope and a positive y-intercept.
It has a positive slope and a negative y-intercept.
Answer explanation
In order to correctly identify the slope and y-intercept, we need to get this equation into slope-intercept form.
2y - 3x = -4
2y = 3x - 4
y = 3/2x - 2
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