Quiz about simultaneous Equations by Substitution

Question 1

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

Accepted Answer

(-4, -2)

Answer

(12, -34)

Answer

(4, -18)

Answer

(-2, -6)

Question 2

Solve the simultaneous equations by substitution

x+y=5

x-y=1

Accepted Answer

x=3, y=2

Answer

x=2, y=3

Answer

x=3, y=-2

Answer

x=-3, y=2

Question 3

Solve the system by substitution:

y = x + 5
4x + y = 20

Accepted Answer

(3,8)

Answer

(8,3)

Answer

(0,2)

Answer

(2,0)

Question 4

Using the simultaneous equations 7x+7y=-28 and -4 - 0.875x = 1y, find the solution, giving your answer as a coordinate pair

Accepted Answer

(0, -4)

Answer

(1, -4)

Answer

(0, -3)

Answer

(-4, 0)

Question 5

Using the simultaneous equations 2x+10y=60 and -45 + 30y = 21x, find the solution, giving your answer as a coordinate pair

Accepted Answer

(5, 5)

Answer

(6, 5)

Answer

(5, 6)

Question 6

What is the first step in solving a system by Substitution?

Accepted Answer

Make sure at least one equation is solved for one variable.

Answer

Make sure both equations are in standard form.

Answer

Make sure both equations are in slope-intercept form.

Answer

Make sure both equations can be solved.

Question 7

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which system represents this situation?

Accepted Answer

4x+3y=134
3x+3y=120

Answer

x+y=134
x+y=120

Answer

3x+3y=134
4x+3y=120

Answer

7xy=134
6xy=120

Question 8

A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $158. Find out the total number of apples sold on Monday.

Accepted Answer

35

Answer

15

Answer

22

Answer

43

Question 9

Solve the simultaneous equations

a+b=11

a-b=3

Accepted Answer

a=7, b = 4

Answer

a=-4, b= 7

Answer

a=4, b = 7

Answer

a=4, b= -7

Question 10

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

Accepted Answer

d + c = 50
4d + 2c = 174

Answer

d + c = 174
4d + 2c = 50

Answer

d + c = 50
2d + 4c = 174

Answer

d + c = 174
2d + 4c = 50

Question 11

A man is three times as old as his daughter. If the difference in their ages is 36 years, find the age of the father and daughter.

Accepted Answer

18 and 54

Answer

20 and 56

Answer

22 and 58

Answer

15 and 45

Question 12

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.

Accepted Answer

15 and 10

Answer

15 and 20

Answer

5 and 15

Answer

5 and 10

simultaneous Equations by Substitution

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