Question 1(Multiple Choice Worth 1 points)
(02.04 MC)
Write the equation of the line that passes through (3, −2) and is perpendicular to y equals 3 fourths times x plus 6 period
y equals negative 4 thirds times x plus 1 third
y equals negative 4 thirds times x plus 2
y equals 3 fourths times x minus 17 fourths
y equals 4 thirds times x minus 6
Question 2(Multiple Choice Worth 1 points)
(02.04 MC)
Shayla is tracking the weight of the smallest puppy in a litter. Use the table to write a linear function that models the puppy's growth.
Week Weight in ounces
0 3
1 6
2 9
3 12
y = 3x + 3
y equals one third times x plus 3
y = 3x + 12
y equals one third times x plus 12
Question 3(Multiple Choice Worth 1 points)
(02.04 LC)
A student is running a 5-kilometer race. He runs 1 kilometer every 3 minutes. Select the function that describes his distance from the finish line after x minutes.
f of x equals negative one third x plus 5
f of x equals negative one fifth x plus 3
f of x equals one fifth x plus 5
f of x equals one third x plus 3
Question 4(Multiple Choice Worth 1 points)
(02.04 MC)
A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80
Question 5(Multiple Choice Worth 1 points)
(02.04 MC)
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (6, 4) and (5, 2), what is the equation for a parallel street that passes through (−2, 6)?
y equals negative one-half times x plus 5
y equals negative one-half times x plus 1
y = 2x + 10
y = 2x − 14
Question 6(Multiple Choice Worth 1 points)
(02.04 MC)
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph:
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 0, negative 20 and 4, 10.
Which equation most closely represents the line depicted in the graph?
f(x) = −10x + 4
f of x equals fifteen halves times x minus 20
f(x) = 10x − 4
f of x equals two fifteenths times x minus 20
Question 7(Multiple Choice Worth 1 points)
(02.04 LC)
Nia has $19.50 to ride the subway around New York. It will cost her $0.75 every time she rides. Identify the dependent variable and the independent variable in this scenario.
The number of rides and the total cost are both independent variables.
The number of rides and the total cost are both dependent variables.
The number of rides is the independent variable, and the total cost is the dependent variable.
The total cost is the independent variable, and the number of rides is the dependent variable.
Question 8(Multiple Choice Worth 1 points)
(02.04 MC)
Choose the equation that represents the line that passes through the point (−1, 6) and has a slope of −3.
y = −3x + 3
y = −3x − 6
y = 3x − 3
y = 3x − 1
Question 9(Multiple Choice Worth 1 points)
(02.04 MC)
Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
4x − y = −6
x + 4y = 7
x − 4y = −9
4x + y = 2
Question 10(Multiple Choice Worth 1 points)
(02.04 MC)
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money he has left over after x rides?
f(x) = 1.25x + 64
f(x) = −16x + $80
f(x) = −1.25x + 64
f(x) = −1.25x − 64
1. y equals negative 4 thirds times x plus 1 third
2. y = 3x + 3
3. f of x equals one fifth x plus 5
4. f(x) = −4x + 80
5. y equals negative one-half times x plus 5
6. f(x) = 2.5x − 20
7. The number of rides is the independent variable, and the total cost is the dependent variable.
8. y = −3x + 3
9. x − 4y = −9
10. f(x) = −1.25x + 64
you gave me a 5/10
I apologize for the mistake. Here are the corrected answers:
1. y equals -4/3 times x plus 2
2. y = 3x + 3
3. f(x) = 1/3 x + 4
4. f(x) = -4x + 100
5. y = -2x + 10
6. f(x) = 2.5x - 20
7. The number of rides is the independent variable, and the total cost is the dependent variable.
8. y = -3x + 3
9. x - 4y = -9
10. f(x) = -1.25x + 64
I hope this helps!
Question 1(Multiple Choice Worth 1 points)
(02.05 MC)
Given the function f(x) = 6x + 1 and the linear function g(x), which function has a greater slope?
positive linear function increasing through 2 comma 3 and 3 comma 7
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
Question 2(Multiple Choice Worth 1 points)
(02.05 MC)
What are the vertex and range of y = |x + 1| + 3?
(0, 4); −∞ < y < ∞
(0, 4); 3 ≤ y < ∞
(−1, 3); −∞ < y < ∞
(−1, 3); 3 ≤ y < ∞
Question 3(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3
Question 4(Multiple Choice Worth 1 points)
(02.05 MC)
Given f(x) = 2x − 3 and g(x) = f(3x), which table represents g(x)?
x g(x)
1 −3
2 3
3 9
x g(x)
1 −1
2 1
3 3
x g(x)
1 3
2 6
3 9
x g(x)
1 3
2 9
3 15
Question 5(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
The graph of f(x) is shifted upward to create g(x).
The graph of f(x) is shifted downward to create g(x).
The graph of f(x) is shifted to the right to create g(x).
The graph of f(x) is shifted to the left to create g(x).
Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
g(x) = x − 6
g(x) = x − 2
g(x) = x + 2
g(x) = x + 6
Question 7(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x) = |x + 3|.
The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
Question 8(Multiple Choice Worth 1 points)
(02.05 MC)
A state park charges $5 per car, plus $1 per person as an admission fee. The total charged for a car with x people is f(x) = x + 5. How will the graph of this function change if the per car charge is changed to $8 per car?
The line will shift vertically down by $3.
The line will shift vertically up by $3.
The line will shift vertically up by $8.
The line will shift vertically down by $8.
Question 9(Multiple Choice Worth 1 points)
(02.05 MC)
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
Question 10(Multiple Choice Worth 1 points)
(02.05 MC)
Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.
x g(x)
1 2
2 1
3 0
x g(x)
1 2
2 5
3 8
x g(x)
1 5
2 8
3 11
x g(x)
1 0
2 3
3 6
1. The positive linear function increasing through (2,3) and (3,7) has a greater slope than f(x) = 6x + 1.
2. (-1, 3); 3 ≤ y < ∞
3. A line labeled g(x) that passes through points (-1,-2) and (0,2).
4. x g(x)
1 3
2 7
3 11
5. The graph of f(x) is shifted to the left by 5 units to create g(x).
6. g(x) = x + 10
7. The graph shows an upward opening v-shaped graph with a vertex at (-3, 0), which passes through (-4, 1) and (-2, 1).
8. The line will shift vertically up by $3.
9. The slopes of f(x) and g(x) are the same.
10. x g(x)
1 0
2 6
3 9
Question 1(Multiple Choice Worth 1 points)
(02.05 MC)
Given the function f(x) = 6x + 1 and the linear function g(x), which function has a greater slope?
positive linear function increasing through 2 comma 3 and 3 comma 7
a. f(x) has a greater slope.
b. g(x) has a greater slope.
c. The slopes of f(x) and g(x) are the same.
d. The slope of g(x) is undefined.
Question 2(Multiple Choice Worth 1 points)
(02.05 MC)
What are the vertex and range of y = |x + 1| + 3?
a. (0, 4); −∞ < y < ∞
b. (0, 4); 3 ≤ y < ∞
c. (−1, 3); −∞ < y < ∞
d. (−1, 3); 3 ≤ y < ∞
Question 3(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a. a line labeled g of x that passes through points 0, negative 2 and 1, 2
b. a line labeled g of x that passes through points 0, negative 3 and 1, 1
c. a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
d. a line labeled g of x that passes through points 0, negative 1 and 1, 3
Question 4(Multiple Choice Worth 1 points)
(02.05 MC)
Given f(x) = 2x − 3 and g(x) = f(3x), which table represents g(x)?
x g(x)
1 −3
2 3
3 9
x g(x)
1 −1
2 1
3 3
x g(x)
1 3
2 6
3 9
x g(x)
1 3
2 9
3 15
Question 5(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
a. The graph of f(x) is shifted upward to create g(x).
b. The graph of f(x) is shifted downward to create g(x).
c. The graph of f(x) is shifted to the right to create g(x).
d. The graph of f(x) is shifted to the left to create g(x).
Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
a. g(x) = x − 6
b. g(x) = x − 2
c. g(x) = x + 2
d. g(x) = x + 6
Question 7(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x) = |x + 3|.
a. The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
b. The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
c. The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
d. The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
Question 8(Multiple Choice Worth 1 points)
(02.05 MC)
A state park charges $5 per car, plus $1 per person as an admission fee. The total charged for a car with x people is f(x) = x + 5. How will the graph of this function change if the per car charge is changed to $8 per car?
a. The line will shift vertically down by $3.
b. The line will shift vertically up by $3.
c. The line will shift vertically up by $8.
d. The line will shift vertically down by $8.
Question 9(Multiple Choice Worth 1 points)
(02.05 MC)
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
a. f(x) has a greater slope.
b. g(x) has a greater slope.
c. The slopes of f(x) and g(x) are the same.
d. The slope of g(x) is undefined.
Question 10(Multiple Choice Worth 1 points)
(02.05 MC)
Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.
a. x g(x)
1 2
2 1
3 0
b. x g(x)
1 2
2 5
3 8
c. x g(x)
1 5
2 8
3 11
d. x g(x)
1 0
2 3
3 6
1. g(x) has a greater slope.
2. (-1, 3); 3 ≤ y < ∞
3. a line labeled g of x that passes through points (-1,-2) and (0,2).
4. x g(x)
1 -1
Question 1(Multiple Choice Worth 1 points)
(02.05 MC)
Given the function f(x) = 6x + 1 and the linear function g(x), which function has a greater slope?
positive linear function increasing through 2 comma 3 and 3 comma 7
a. f(x) has a greater slope.
b. g(x) has a greater slope.
c. The slopes of f(x) and g(x) are the same.
d. The slope of g(x) is undefined.
Question 2(Multiple Choice Worth 1 points)
(02.05 MC)
What are the vertex and range of y = |x + 1| + 3?
a. (0, 4); −∞ < y < ∞
b. (0, 4); 3 ≤ y < ∞
c. (−1, 3); −∞ < y < ∞
d. (−1, 3); 3 ≤ y < ∞
Question 3(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a. a line labeled g of x that passes through points 0, negative 2 and 1, 2
b. a line labeled g of x that passes through points 0, negative 3 and 1, 1
c. a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
d. a line labeled g of x that passes through points 0, negative 1 and 1, 3
Question 4(Multiple Choice Worth 1 points)
(02.05 MC)
Given f(x) = 2x − 3 and g(x) = f(3x), which table represents g(x)?
x g(x)
1 −3
2 3
3 9
x g(x)
1 −1
2 1
3 3
x g(x)
1 3
2 6
3 9
x g(x)
1 3
2 9
3 15
Question 5(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
a. The graph of f(x) is shifted upward to create g(x).
b. The graph of f(x) is shifted downward to create g(x).
c. The graph of f(x) is shifted to the right to create g(x).
d. The graph of f(x) is shifted to the left to create g(x).
Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
a. g(x) = x − 6
b. g(x) = x − 2
c. g(x) = x + 2
d. g(x) = x + 6
Question 7(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x) = |x + 3|.
a. The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
b. The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
c. The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
d. The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
Question 8(Multiple Choice Worth 1 points)
(02.05 MC)
A state park charges $5 per car, plus $1 per person as an admission fee. The total charged for a car with x people is f(x) = x + 5. How will the graph of this function change if the per car charge is changed to $8 per car?
a. The line will shift vertically down by $3.
b. The line will shift vertically up by $3.
c. The line will shift vertically up by $8.
d. The line will shift vertically down by $8.
Question 9(Multiple Choice Worth 1 points)
(02.05 MC)
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
a. f(x) has a greater slope.
b. g(x) has a greater slope.
c. The slopes of f(x) and g(x) are the same.
d. The slope of g(x) is undefined.
Question 10(Multiple Choice Worth 1 points)
(02.05 MC)
Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.
a. x g(x)
1 2
2 1
3 0
b. x g(x)
1 2
2 5
3 8
c. x g(x)
1 5
2 8
3 11
d. x g(x)
1 0
2 3
3 6