Question 1
LEVEL 6
If f(x) = x -9, find f(6).
Select the correct answer from the list below:
A: -3
B: 6
C: 3
D: -6
CORRECT ANSWER: A: -3
WORKED SOLUTION:
Substitute x=6 into the equation.
f(6) = 6 -9 = -3
Question 2
LEVEL 6
If f(x) = \dfrac{x}{6}, find f(36)
Select the correct answer from the list below:
A: 3
B: 9
C: 6
D: 1
CORRECT ANSWER: C: 6
WORKED SOLUTION:
Substitue x=6 into the equation.
f(36) = \dfrac{36}{6}=6
Question 3
LEVEL 6
If f(x) = -5(2x+1)^2, find f(3)
Select the correct answer from the list below:
A:-165
B: -75
C: -35
D: -245
CORRECT ANSWER: D: -245
WORKED SOLUTION:
Substitue x=3 into the equation.
f(3) = -5(2(3)+1)^2 = -5(7)^2 = -5 \times 49=-245
Question 4
LEVEL 6
If f(x) = \dfrac{2x+1}{4}, find f(3.5)
Select the correct answer from the list below:
A: 1
B: 4
C: 2
D: 3
CORRECT ANSWER: C: 2
WORKED SOLUTION:
Substitue x=3.5 into the equation.
f(3.5) = \dfrac{2(3.5)+1}{4} = \dfrac{7+1}{4} = 2
Question 5
LEVEL 6
f(x) = 2x+1
Solve f(x) = 3 to find x.
Select the correct answer from the list below:
A: x = 7
B: x = 1
C: x = 2
D: x = 4
CORRECT ANSWER: B: x = 1
WORKED SOLUTION:
Rearrange the formula to find x
f(x) = 2x+1 = 3
2x= 3-1
x= 1
Question 6
LEVEL 6
f(x) = \dfrac{2x}{3}
Solve f(x) = 30 to find x.
Select the correct answer from the list below:
A: x = 45
B: x = 60
C: x = 40
D: x = 90
CORRECT ANSWER: A: x = 45
WORKED SOLUTION:
Rearrange the formula to find x
f(x) = \dfrac{2x}{3} = 30
2x = 90
x= 45