WorksheetsIM2H Linear Systems, Parabolas & Circle Review
Total questions: 18
Worksheet time: 1hrs 16mins
Name
Class
Date
1.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
2.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
3.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
4.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
5.
What is a solution of a linear system?
a)
the slope of the line
b)
the y-intercept
c)
the point where the systems intersect
d)
the rise over tun
6.
Solve:
x + y = 4
-5x - 6y = -18
x + y = 4
-5x - 6y = -18
a)
(6, -2)
b)
(-6, 10)
c)
(2, 2)
d)
(-2, 6)
7.
Solve:
-2x + 5y = -1
4x - 2y = -6
-2x + 5y = -1
4x - 2y = -6
a)
(-2, -1)
b)
(2, 7)
c)
(3, 1)
d)
(-1, -2)
8.
What is the y-intercept of the following equation?
y=x2+8x+15
y=x2+8x+15
a)
y=8
b)
y=3
c)
y=5
d)
y=15
9.
What is the vertex of the following equation?
y=3(x-6)2+5
y=3(x-6)2+5
a)
(3,5)
b)
(-6,5)
c)
(5,3)
d)
(6,5)
10.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
11.
What is the axis of symmetry for the equation f(x) = 3x2 - 18x + 23
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
12.
Which of the following parabolas will have a minimum?
a)
y = -x2 + 4
b)
y = -x2 + x - 3
c)
y = -x2 - 2
d)
y = x2 + 2x - 8
13.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
14.
What is the equation of this graph?
a)
f(x) = -1 (x-3)(x+1)
b)
f(x) = -2 (x+3)(x-1)
c)
f(x) = -1/2 (x+3)(x-1)
d)
f(x) = -1/2 (x-3)(x+1)
15.
What is the center for the circle with this equation x²+y²+4x+6y-36=0?
a)
(-2,5)
b)
(2,7)
c)
(-2,-3)
16.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
17.
Which graph corresponds to
(x+2)2+ (y-3)2=36
a)
A
b)
B
c)
C
d)
D
18.
What is the radius of the given circle:
x²+y²-10x+8y-23=0?
x²+y²-10x+8y-23=0?
a)
4
b)
2
c)
8
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