WorksheetsYear 11 IGCSE Extended Quiz
Total questions: 32
Worksheet time: 2hrs 33mins
Name
Class
Date
1.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
2.
Name the x-intercept(s)?
a)
0
b)
4
c)
2
d)
0 and 4
3.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
4.
A line about which a figure is symmetric is the ____ __ ________
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
5.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
axis of symmetry x = -b/2a
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
6.
What's the axis of symmetry of y = 3x2 - 6x + 4
axis of symmetry x = -b/2a
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
7.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
8.
What does the Direct Variation Equation look like?
a)
y= kx
b)
y = mx + b
c)
y = b
d)
y = x
9.
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?
a)
50 kg water
b)
72 kg water
c)
94 kg water
d)
150 kg water
10.
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
a)
8 painters
b)
10 painters
c)
9 painters
d)
11 painters
11.
True or False:
In a direct relationship the constant of variation is the product of x and y, and in an inverse relationship the constant of variation is the quotient of x and y.
In a direct relationship the constant of variation is the product of x and y, and in an inverse relationship the constant of variation is the quotient of x and y.
a)
True
b)
False
12.
The solution to a system of inequalities is where:
a)
One inequality has shading
b)
Both inequalities have shading
c)
The required region is not shaded
d)
Both lines are dashed
13.
True or false: you flip the sign every time you multiply or divide when you're solving an inequality.
a)
True
b)
False
14.
Which of the following is not a solution to this system of inequalities?
a)
(-5,0)
b)
(-5,3)
c)
(-6,2)
d)
(-4,1)
15.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
y ≥ x + 3
16.
Write the inequality
a)
y>-5x-3
b)
y≥-5x-3
c)
y<-5x-3
d)
y≤-5x-3
17.
If h(a) = 3 - 2a
Find h(-3).
Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
18.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
19.
If f(x)=6x2-4,
what is f(0)?
what is f(0)?
a)
-4
b)
4
c)
0
d)
2
20.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
21.
The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?
a)
After 5 week the plant is 4 inches tall
b)
The plant grows at a rate of 5/4 inch per week
c)
After 4 weeks the plant is 5 inches tall
d)
The plant grows at a rate of 1 inch per week
22.
A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.
a)
g(8)=8. This means that after 8 packages of gum, the company makes $8.
b)
g(8)=42. This means that 8 packages of gum costs $42.
c)
g(8)=28. This means that 8 packages of gum costs $28.
d)
g(8)=24. This means that 8 packages of gum costs $24.
23.
Find the inverse of
f(x) = 1/4x - 7
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
24.
Are the following inverses of each other?
a)
True
b)
False
25.
Find the inverse of f(x) = 5/11x +10
a)
f-1(x) = 11/5x - 22
b)
f-1(x) = 5/11x - 22
c)
f-1(x) = 11/5x - 20
d)
None of the above
26.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
27.
Given f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
28.
Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x
and
g(x) = 4x
a)
8x - 32
b)
8x2 - 32x
c)
8x - 8
d)
6x - 8
29.
f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)
g(x) = x - 2
Find (f∘g)(0)
a)
16
b)
4
c)
-4
d)
None of these.
30.
What's the name of the inverse of g(x)?
a)
f(x)
b)
f-1(x)
c)
y
d)
g-1(x)
31.
f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)
g(x) = x - 2
Find (f∘g)(0)
a)
16
b)
4
c)
-4
d)
None of these.
32.
g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)
h(x)=3x-1
Find (g∘h)(x)
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
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