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Worksheetsd-6-2HW: Solving Systems-Substitution (30)
Total questions: 30
Worksheet time: 3hrs 30mins
Solve the system of equations below using the substitution method:
y = x + 1
2x - 3 = y
(3, 5)
(5, 4)
(4, 3)
(4, 5)
Solve the system of equations below using the substitution method:
y = 2x - 4
7x - 2y = 5
(-1, -6)
(-1, -8)
(-2, 6)
(1, -8),
The system of equations pictured in the graph has ____________________.
One solution
No solutions
Infinite solutions
Two solutions
The system of equations pictured in the graph has ____________________.
One solution
No solutions
Infinite solutions
Two solutions
The system of equations pictured in the graph has _____________________.
One solution
No solutions
Infinite solutions
Two solutions
Solve the system of equations below using the substitution method:
5x - 2y = 3
y = 2x
(6, 3)
(1, 2)
(3, 6)
(2, 1)
Determine the solution of the system of equations pictured in the graph:
(3, 1)
(1, 3)
(-1, 3)
(3, 3)
Solve the system of equations below using the substitution method:
2x + 3y = 4
y= 5x - 27
(5, -2)
(5, 2)
(2, 3)
(3, 2)
Determine the solution of the system of equations pictured in the graph:
(1, -2)
(-2, 2)
(1, 2)
(1, -1)
A system of equations has no solutions, therefore the graph would be _____________________.
intersecting lines
parallel lines
skew lines
the slope of 1
Solve the system of equations below using the substitution method:
5x + 4y = −14
y = −7x − 15
(-2, -1)
(1, -2)
(-2, 1)
(-1, -2)
TRUE or FALSE:
The solution to a system of equations is any ordered pair (x, y) that makes both equations true.
TRUE
FALSE
Solve the system of equations below using the substitution method:
3x + 2y = 16
7x + y = 19
(-2, 5)
(-2, -5)
(2, -5)
(2, 5)
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Determine which equation you would use to find the solution to the system.
3x + 2y = 315
2x + 4y = 450
3x + 2y = 450
2x + 4y = 315
2x + 2y = 315
3x + 4y = 450
Solve the system of equations below (use linear combination or substitution method):
4x - 2y = 20
x +2y = -5
(-4, 3)
No Solution
(3, -4)
(20, -5)
Solve the system of equations below (use linear combination or substitution method):
3x + 4y = 29
6x + 5y = 43
(5, 3)
(3, 5)
(-3, -5)
Infinite Solutions
No Solutions
Solve the system of equations below (you choose the method):
6x + 4y = 10
3x + 2y = -5
(1, 1)
(5, -5)
(-1, -1)
Infinite Solutions
No Solutions
Solve the system of equations below (you choose the method):
4x + 9y = 28
-4x - y = -28
(-7, 0)
(6, 0)
(-6, 0)
(7, 0)
Solve the system of equations below (you choose the method):
-9x - 4y = -20
5x + 4y = 4
(-4, 4)
(4, 4)
(4, -4)
(-4, -4)
Solve the system of equations below (you choose the method):
3x + 2y = 16
7x + y = 19
(-2, 5)
(-2, -5)
(2, -5)
(2, 5)
Evaluate the expression using Order of Operations:
15 + 7 × 2 – 11 + 35
(a)
Evaluate the expression using Order of Operations:
5 - 62 ÷ 4 - 3
(a)
Solve the equation for a:
2a−6(a−4)= −4
(a)
Solve the equation for g:
56(5−4g)=−18
(a)
Find the common difference:
29, 21, 13, 5, ...
(a)
Find the 32nd term of the arithmetic sequence:
9, 4, -1, -6, -11, ...
(a)
Given:
Find:
h(4)
(a)
Given:
f(x) = 2(5x - 8)
Find:
f(10)
(a)
Solve for both values of n:
∣n+6∣=5
n = -1
n = -1 or n = -11
n = 30
n = 11
Solve the compound inequality:
0 < x + 7 < 9
-7 < x < 2
2 < x < -7
5 < x < 12
-7 > x > 2
