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Simultaneous equations

Total questions: 10

Worksheet time: 36mins

Name
Class
Date
1.
Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10
a)
(-4, -2)
b)
(12, -34)
c)
(4, -18)
d)
(-2, -6)
2.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

3.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

4.

Solve by elimination:
5x+y=95x+y=9
  10x7y=1810x-7y=-18  

a)

(4, 1)

b)

(-1, 4)

c)

(1, 4)

d)

(4, -1)

5.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
6.

Solve
3x + 4y = 73x\ +\ 4y\ =\ 7  
5x2y=165x-2y=16  

a)

x = 3, y = 12x\ =\ 3,\ y\ =\ -\frac{1}{2}  

b)

x=3, y = 12x=-3,\ y\ =\ \frac{1}{2}  

c)

x=12, y=3x=\frac{1}{2},\ y=-3  

d)

x=12, y=3x=-\frac{1}{2},\ y=-3  

7.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

a)

11v + 3b = 283

12v + 14b = 770

b)

v + b = 14

v + b = 16

c)

11v + 12v = 283

3b + 14b = 770

d)

v + b = 30

23v + 17b = 1053

8.
A man has 100 shares of stock A and 200 shares of stock B. The total value is $420. If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $402. Find the price of each share.
a)
A = $2, B = $1
b)
A = $1, B = $2
c)
A = $1.20, B = $1.80
d)
A = $1.80, B = $1.20
9.

Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.

(a)  

10.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Determine the cost of one cup of coffee ?

(a)