Systems of Equations and Inequalities Review

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

Tags

CCSS.8.EE.C.8B

What is the definition of infinite solutions?

• Slopes are the same, and the y-intercepts are the same. The lines are the same.

• The slopes are the same, the y-intercepts are different. The lines are parallel.

• The slopes are different. The lines intersect at one point.

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

How many solutions does this system have?

2y = 16x – 2

y = 8x + 2

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (2, -5)

• (5, -2)

• (-5, -2)

• (-2, 5)

• (-2, -5)

Tags

TEKS.MATH.A.5C

What is the solution to the system?

5x + 6y = -10

3x - 2y = -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Connor wants to sell masks at the craft fair for $11 each. The materials for each mask cost $2.50 and the table rental at the fair costs $51 for the day. How many masks must he sell for his revenue (profit) equal his expenses?

• 6

• 2.50

• 5

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Solve the system by elimination.

5x + 8y = -12

3x + 5y = -7

• (1, -10)

• No solution

• (-4, 1)

• (1, 10)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Use a system of equations to solve for the amount of adult and child tickets Homer sells. Use x for adult tickets and y for child tickets.

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set because a solid line means those points ARE included

• No, they are NOT part of the solution set because a solid line means those points ARE NOT included

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12