Quiz about Unit 8: Solving System of Equations Review

Question 1

Solve the system by elimination:

2x - y = 4

2x + y = 4

Accepted Answer

(2,0)

Answer

(0,2)

Answer

(8,4)

Answer

(-2,4)

Question 2

Solve the system by elimination:

3x -3y = 30

3x + y = 18

Accepted Answer

(7, -3)

Answer

(3 ,7)

Answer

(-7, 3)

Answer

(-3, 7)

Question 3

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

Accepted Answer

Parallel Lines

Answer

Skew Lines

Answer

Intersecting lines

Answer

Circle Lines

Question 4

If y=1 in this system, determine the solution Hint: plug the numbers into both equations

x + y = 5

-2x + y = -7

Accepted Answer

(4 , 1)

Answer

(-4, -1)

Answer

(4,-1)

Answer

(-5, 7)

Question 5

Use Elimination method to solve this system

-4x - 2y = -12

4x + 8y = -24

Accepted Answer

(6,-6)

Answer

(12,6)

Answer

(-6,6)

Answer

(6,6)

Question 6

If a system of linear equations has one solution, what does this mean about the two lines?

Accepted Answer

Intersecting

Answer

Parallel

Answer

Same Line

Question 7

Solving these Systems by Substitution

Accepted Answer

(0,7)

Answer

(7,0)

Answer

(-5,7)

Answer

(7,-5)

Question 8

Solving these Systems by Substitution

Accepted Answer

Infinite amount of solutions

Answer

(0,3)

Answer

No solution

Answer

(3,0)

Question 9

Question 9.

Accepted Answer

(-1,-6)

Answer

(3,6)

Answer

(-3,-6)

Answer

(-6,-1)

Question 10

Solve these Systems with Substitution

Accepted Answer

(1,4)

Answer

(-1,-4)

Answer

(-4,1)

Answer

(4,1)

Question 11

Solve these Systems with Substitution

Accepted Answer

No solution

Answer

(-8,-5)

Answer

(5,-8)

Answer

Infinite Solutions

Question 12

Solve the system of equations by graphing.

Accepted Answer

(3,5)

Answer

No Solution

Answer

(3,-5)

Answer

Infinite Solutions

Question 13

How many solutions do these systems have?

Accepted Answer

No Solution

Answer

infinite solutions

Answer

(4,0)

Answer

(1,0)

Question 14

A sporting goods store sells right-handed and left-handed baseball gloves. Right-handed gloves cost $45 each and left-handed gloves cost $52 each. In one month, 12 gloves were sold for a total of $561. Let X represent Right-handed gloves and Y represent Left-handed gloves.

Create an equation for both scenarios.

Accepted Answer

x + y = 12

45x + 52y =561

Answer

45x + y = 12

x + 52y =561

Answer

x + y = 12

52x + 45y =561

Answer

x + y = 561

45x + 52y = 12

Question 15

A ________________ is a set of two or more equations that have the same variables.

Accepted Answer

System of Equations

Answer

Elimination Method

Answer

Substitution Method

Answer

Distribution Method

Question 16

Solve by elimination

2x + 9y = -76

x - 3y = 9

Accepted Answer

(1,-1)

Answer

(-1,1)

Answer

(2,-1)

Answer

(1,1)

Question 17

Solve using elimination.

7x + 2y = 24

8x + 2y = 30

Accepted Answer

(6,-9)

Answer

(-9,6)

Answer

(9,-6)

Question 18

Solve by elimination:

3x + 7y = 23

-3x - 7y = -17

Accepted Answer

no solution

Answer

(5,2)

Answer

infinite solutions

Answer

(2,0)

Unit 8: Solving System of Equations Review

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