Systems Quiz Review

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1.5)

Tags

CCSS.8.EE.C.8B

What is the best method do you use?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is defined

• Elimination because both equations are in standard form.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

What is the best method to use?

−4x − 2y = −12

4x + 8y = −24

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

What variable do you eliminate, and what do you multiply the equation(s) by?

5x + y = 9

10x − 7y = −18

• You eliminate x, and multiply the top equation by -2

• You eliminate y, and multiply the top equation by 7

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

Which coordinate point is in the solution set for the system of inequalities shown in the accompanying graph?

• (2, 2)

• (-3, 1)

• (-2, -2)

• (2, 6)

Tags

CCSS.HSA.REI.D.12

The sum of two numbers is 54. The difference of the same numbers is 16. Find the smaller of the two numbers.

• There isn't enough information to solve.
• -16
• 35
• 19

Tags

CCSS.8.EE.C.8C