Year 9 - Simultaneous Equations (II)

x + y = 3
2x - y = 6

• x = 0, y = 3
• x = 3, y = 0
• x = 1, y = 2
• x = 2, y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x - y = 3
2x + y =5

• x= 1, y =1
• x = 1, y = 2
• x = 4/3, y= 7/3
• x = 7/3, y = 4/3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6a - 3b = 4
4a - 3b = 8

• a = -2, b = -16/3
• a = -16/3, b = -2
• a = 1, b = 2/3
• a = 2, b = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x - y = 3
4x - 3y = 7

• x = 2, y = 5/3
• x = 1, y = 1
• x = -2, y = 1/4
• x = 1/4, y = -2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.

• 20 and 56
• 18 and 54
• 22 and 58
• 15 and 45

Tags

CCSS.8.EE.C.8C

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

• 59 adults and 141 children
• 40 adults and 160 children
• 60 adults and 140 children
• 41 adults and 159 children

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

A rectangle has a perimeter of 40cm. If the length is reduced by 5cm and 5cm is added to the width, it becomes a square. Find the dimensions of the rectangle.

• 20 and 10
• 10 and 5
• 15 and 10
• 15 and 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

• (-4, -2)
• (12, -34)
• (4, -18)
• (-2, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)
• (7, 1)
• (2, 9)
• (-1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve

y² - 36 = 0

• {-6, 6}

• {-1, 30}

• {-15, 2}

• {3, 10}

Tags

CCSS.8.EE.A.2