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WorksheetsSimultaneous equations and quadratics
Total questions: 29
Worksheet time: 2hrs 25mins
Name
Class
Date
1.
Solve:
3x - y = 11
x + y = 5
a)
x = 4
y = 1
b)
x = 4
y = -1
c)
x = -4
y = 1
d)
x = -4
y = -1
2.
Solve:
2x + y = 16
4x - y = 2
a)
x = 3
y = 10
b)
x = -3
y = -10
c)
x = -3
y = 10
d)
x = 3
y = -10
3.
Solve for (x,y)
5x + y = 9
10x − 7y = −18
a)
(-4,-1)
b)
(-1,-4)
c)
(4,1)
d)
(1, 4)
4.
Find the solution of the given simultaneous equations.
y = 2x−3
3x−2y=4
a)
(2, 1)
b)
(−37,−323)
c)
(-7, -17)
d)
(7, 4)
e)
no solution
5.
The graph of a quadratic function is called
a)
a line
b)
a hyperbola
c)
a parabola
d)
a cubic
6.
What is the equation of the line of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
7.
If the graph of a quadratic does not intercept the x axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
8.
What are the solutions of this graph?
a)
x=-2 and x=3
b)
x=-1/2 and x=-6
c)
x=-2 and x=-6
d)
x=3 and x=-6
9.
Solve the equation above.
a)
m= 81 or -81
b)
m=9 or -9
c)
m=3 or -3
d)
No real solution
10.
Solve the following quadratic equation: 5x2=10x
a)
x=−2
b)
x=2
c)
x=2 & x=0
d)
x=−2 & x=0
11.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
12.
How many solution does this pair of simultaneous equation have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
13.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
14.
Find the Axis of Symmetry: y= x2 -2x
a)
x = 2
b)
x =1
c)
x = -1
d)
x = 5
15.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
16.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
17.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
18.
Solve by factoring: 4x2 + 11x - 3 = 0
a)
x = -3/4 and x = -1
b)
x = 4 and x = 3
c)
x = 1/4 and x = -3
d)
x = -1/4 and x = 3
19.
Factor completely
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
20.
Factor completely
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
21.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
22.
a)
5x2+16x+8
b)
6x2+12x+8
c)
6x2+16x+6
d)
6x2+16x+8
23.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
24.
If the discriminant is negative, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solutions
25.
What is the discriminant?
a)
b²-4ac
b)
b2/2a
c)
4ac
d)
b2±4ac
26.
What is this?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
27.
a)
√3
b)
±√3
c)
-3
d)
No real solution
28.
What is the axis of symmetry?
a)
x = -3
b)
(-3, -5)
c)
-1 and -5
d)
y = 4
29.
What is the vertex?
a)
-6
b)
0
c)
(-6, 0)
d)
(0, -6)
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