Simultaneous Equations Assessment

Which method is commonly used to solve a system of two linear equations?

• Quadratic formula

• Elimination method

• Pythagorean theorem

• Trigonometric ratios

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the equation 2x+3y=12, what does the coefficient of x represent?

• The y-intercept

• The slope of the line

• The rate of change of y with respect to x

• The number of units x changes for every 2 units of y

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

If x+y=5 and 2x−y=1, what is the value of x?

• 2

• 3

• 4

• 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following represents a system of equations with no solution?

• Parallel lines

• Intersecting lines

• Coincident lines

• Perpendicular lines

Tags

CCSS.8.EE.C.8A

In the substitution method, what is the first step to solve the system x+y=7 and 2x−y=1?

• Add the equations

• Subtract the equations

• Express one variable in terms of the other

• Multiply one equation by a constant

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the geometric interpretation of the solution to a system of two linear equations?

• The y-intercept of both lines

• The x-intercept of both lines

• The point where the lines intersect

• The slope of both lines

Tags

CCSS.8.EE.C.8B

If 3x+2y=12 and 4x−y=5, what is the value of y?

• 2

• 3

• 4

• 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following systems of equations has infinitely many solutions?

• x+y=5 and 2x+2y=10

• x+y=5 and x+y=6

• x+y=5 and 2x+y=7

• x+y=5 and x−y=1

Tags

CCSS.8.EE.C.8B

In the graphical method of solving simultaneous equations, what does a single point of intersection indicate?

• No solution

• Infinite solutions

• Unique solution

• Dependent equations

Tags

CCSS.8.EE.C.8B

If ax+by=c and dx+ey=f represent a system of equations, what condition must be met for the system to have a unique solution?

• a=d and b=e

• a=b and d=e

• ae−bd≠0

• ad+be=cf

Tags

CCSS.HSA.REI.C.9