Systems of Equations & Inequalities

Review - Systems of Equations & Inequalities

by Forrest Berndt

Multiple Choice

If two lines are parallel, the number of solutions is...

• one

• infinite solutions

• no solutions

• all of the above

Multiple Choice

If the lines are on top of one another, the number of solutions is

• one

• none

• infinite

• None of the above

Multiple Choice

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Multiple Choice

Which is the solution to x+5=8

• x=2
• x=3
• x=4
• x=5

Multiple Choice

Solve 5x + 3y = 15 for y when x = 0

• y = 5

• x = 5

• There is no solution

• This is not a real math problem

Multiple Choice

What is the solution to this equation?

(hint: is this a true or false statement?)

• one solution
• no solution
• infinite solutions
• none of these

Multiple Choice

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Multiple Choice

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

Multiple Choice

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Multiple Choice

(4, 3) is a solution to which system of equations?

• y = -3x + 5

  5x - 4y = -3

• -3x - 3y = 3

  y = -5x - 17

• 2x - 3y = -1

  y = x - 1

• x = 3

  y = 4

Multiple Choice

Which of the following is NOT a method to solve systems?

• Elimination
• Distribution
• Substitution
• Graphing

Multiple Choice

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables

Multiple Choice

2x - 6y = 20

2x + 5y = -11

what would the top equation become when you multiply everything by -1?

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

Multiple Choice

Solve the system: 3x + y = 19 2x - y = 6

(hint: elimination is preferred method with this problem)

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

Multiple Choice

Which of the following actions would change the following pair of terms into a Zero Pair?

• Multiply the A term by 7 and the B term by 3

• Multiply the A term by 3 and the B term by 7

• Multiply the A term by 7 and the B term by -3

• Multiply the A term by 3 and the B term by -7

Multiple Choice

Solve the system of equations by elimination. -x + y = -13 -8x - 4y = -8 

(hint: multiply one of the equations to create a zero pair in the x-values or y-values)

• (5, 8)
• (5, -8)
• (-5, -18)
• (-5, 8)

Multiple Choice

(hint: multiply BOTH of the equations to create a zero pair in the x-values or y-values)

• $$\left(5,-4\right)$$

• $$\left(-5,-4\right)$$

• $$\left(-4,5\right)$$

• $$\left(-4,-5\right)$$