Quiz about Solving System of Equations

Question 1

Determine if (4, 1) is a solution for the system of equations. Hint: Plug in 4 for x, and 1 for y.

y = -x + 5

y = 2x - 7

Accepted Answer

Yes

Answer

No

Question 2

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 3

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

Accepted Answer

The (x,y) coordinates satisfy both equations

Accepted Answer

The ordered pair (x, y) is a point on both lines

Answer

It makes the first equation true.

Answer

It makes logical sense

Answer

It makes neither equation negative

Question 4

Find the solution:
2x-5y=15
3x+y=31

Accepted Answer

(10,1)

Answer

(13, -8)

Answer

(-10,-7)

Answer

No Solution

Question 5

4x+8y=20
-4x+2y=-30

Accepted Answer

(7,-1)

Answer

(-7,1)

Answer

(2,-5)

Answer

(-2,5)

Question 6

y = x - 2
-2x + 3y = -1

Accepted Answer

(5, 3)

Answer

(5, -3)

Answer

(-5, -3)

Answer

(-5, 3)

Question 7

-4x-2y=-12
4x+8y=-24

Accepted Answer

(6,-6)

Answer

(5,6)

Answer

(6,-2)

Answer

(4,-3)

Question 8

3y - 2x = 0
y = 4x - 1

Accepted Answer

(0.3, 0.2)

Answer

(-0.3, -0.2)

Answer

(-0.3, 0.2)

Answer

(0.3, -0.2)

Question 9

x + 2y = -4
x - 2y = 8

Accepted Answer

(2,-3)

Answer

(2,5)

Answer

(2,-2)

Answer

(-3,2)

Question 10

5x - y = 11

2x - 2y = 9

Based on the system above, what is the value of 3x + y?

Accepted Answer

2

Answer

-2

Answer

0

Answer

4

Question 11

The above equation is true if Amit buys B pounds of blueberries and R pounds of raspberries at a farm where blueberries cost $5.50 per pound and raspberries cost $4.00 per pound. According to the equation, how much does Amit spend in total on both types of berries?

Accepted Answer

$28.00

Answer

$9.50

Answer

$22.00

Answer

$56.00

Question 12

Solve the following system of equations. What is the point of intersection of the two lines?

y = -3x + 4 and y = 4x - 10

Accepted Answer

(2, -2)

Answer

(-2, 2)

Answer

(14, 46)

Answer

(-6, -34)

Question 13

Solve the system of equations.

Accepted Answer

$$\left(-2,10\right)$$

Answer

$$\left(-6,30\right)$$

Answer

$$\left(10,-2\right)$$

Answer

$$\left(30,-6\right)$$

Question 14

Anika, Grace, and Michael are working on a math problem. They are trying to find the values of two variables in two equations. What does it mean when they decide to solve the system by substitution?

Accepted Answer

They solve for a variable in one equation, and then plug what it is equal to into the other equation

Answer

They try different numbers for the variables until they find a combination that works

Answer

They line the equations up and subtract them from each other to eliminate a variable

Answer

They hire a substitute to do their math for them

Question 15

Solve the system using substitution method.

y = -6x

y = 6x - 12

Accepted Answer

(1, -6)

Answer

(1, 6)

Answer

(-1, -6)

Answer

(-1, 6)

Solving System of Equations

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