Quiz about Ch.3

Question 1

Solve by elimination
-12x-4y= -8
-6x-2y= -4

Accepted Answer

infinite solutions

Answer

no solution

Answer

(0,0)

Answer

(4,0)

Question 2

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

Accepted Answer

Intersecting lines

Answer

Parallel lines

Answer

the same line

Question 3

Parallel Lines never intersect because...

Accepted Answer

they have the same slopes.

Answer

they have the same y-intercept.

Answer

they have different slopes.

Answer

they have different y-intercepts.

Question 4

What is the solution?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Question 5

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

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 6

Which is the correct equation for the graph?

Accepted Answer

x-2y=-6

Answer

Y=-6x+6

Answer

Y=-6x-6

Answer

x+y=6

Question 7

^{What is the solution?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 8

Which of these lines has a slope of -3?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

Solve:
y = 2x -11
-3y = -6x -15

Accepted Answer

No solution (parallel lines)

Answer

(-1.5,-4)

Answer

(1.5,4)

Answer

Infinitely many solutions

Question 10

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

Accepted Answer

d + c = 50
4d + 2c = 174

Answer

d + c = 174
4d + 2c = 50

Answer

d + c = 50
2d + 4c = 174

Answer

d + c = 174
2d + 4c = 50

Question 11

solve by substitution: y=3x+14
y=-4x

Accepted Answer

y=2

Answer

y=3

Answer

y=1

Answer

y=4

Question 12

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 13

This system has _____ solutions

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely many

Question 14

The ordered pair that satisfies BOTH equations in the system is called the _____________________

Accepted Answer

solution

Answer

system of equations

Answer

function

Answer

graph

Question 15

Solve this system by substitution.

Accepted Answer

(1, 4)

Answer

(1, -4)

Answer

(-4, -7)

Answer

(-7, -4)

Question 16

When does a system of equations have no solutions?

Accepted Answer

When the slopes are the same

Answer

When the lines cross

Answer

When slopes of the lines are different

Answer

There is ALWAYS a solution sir!

Question 17

Convert to slope-int

Accepted Answer

y= -1/4x-3/4

Answer

y=-1/4x+3/4

Answer

y=3/4x-1/4

Answer

y=-3/4x+1/4

Question 18

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

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 19

When you graph the exact same equation twice,

Accepted Answer

you will have infinite solutions.

Answer

you will have no solution.

Answer

you will have one solution.

Answer

you will graph a giraffe.

Question 20

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 21

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 22

What form of linear equation is this?

Accepted Answer

Slope-Intercept

Answer

Point-Slope

Answer

Standard

Question 23

What form of linear equation is this?

Accepted Answer

Point-Slope

Answer

Slope-Intercept

Answer

Standard

Question 24

Write the equation for the line in slope-intercept form.

Accepted Answer

y= 4x+3

Answer

y= -1x+3

Answer

y=1/4x+3

Answer

y= -4x+3

Question 25

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

Accepted Answer

y = 5x + 4

Answer

y = 1/5x - 3

Answer

y= 5x - 7

Answer

y = -5x - 3

Question 26

This system has _____ solutions

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely many

Question 27

What form of linear equation is this?

Accepted Answer

Slope-Intercept

Answer

Point-Slope

Answer

Standard

Question 28

If m=3 and b=6, what is the correct slope intercept equation?

Accepted Answer

y=3x+6

Answer

y=3-6

Answer

y=3x-6

Answer

y=6x+3

Question 29

Write the following equation in slope-intercept form:
4x - 3y = 12

Accepted Answer

y = 4/3x - 4

Answer

y = -4/3x + 3

Answer

y = -4x + 12

Answer

y = 4/3x - 12

Question 30

Which of these represents point-slope form of a linear equation?

Accepted Answer

y - y₁ = m(x - x₁)

Answer

Ax + By = C

Answer

y = mx + b

Question 31

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

Accepted Answer

y +7 = -1/4(x - 4)

Answer

y - 4 = -1/4(x + 7)

Answer

y+ 7 = 4(x - 4)

Answer

y - 7 = -1/4(x - 4)

Question 32

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

Accepted Answer

y = 2x + 13

Answer

y = 2x + 5

Answer

y = -1/2x + 3

Answer

y = -1/4x + 11/2

Question 33

You can solve systems using these methods:

Accepted Answer

graphing, substitution, and elimination

Answer

rearranging, thinking, and guessing

Answer

only by graphing

Question 34

What is the slope in the equation:  y=4x+3

Accepted Answer

4

Answer

3

Answer

4x

Answer

x

Question 35

y = -2/3x + 2
y = 3/2x + 9
These lines are...

Accepted Answer

Perpendicular

Answer

Parallel

Answer

Neither

Question 36

What slope is parallel to:
m = 4

Accepted Answer

4

Answer

-1/4

Answer

-4

Answer

1/4

Question 37

y = 6x + 2
y = -6x + 2
These lines are...

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 38

Solve using elimination.
-4x - 6y = 6
4x + 6y = -4

Accepted Answer

no solution

Answer

(2,0)

Answer

(-4,0)

Answer

(0,0)

Question 39

Write the equation of the line.
Slope = -4, passing through (-1, 5)

Accepted Answer

y-5 = -4(x+1)

Answer

y+5 = -4(x-1)

Answer

y-5 = 4 (x-1)

Answer

y = -4x - 9

Question 40

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

Accepted Answer

y = 4x + 14

Answer

y = 4x + 6

Answer

y = 3x + 12

Answer

y = -1/4x + 11/2

Question 41

A Taxi driver's pay was charging at the following rates
x- miles driven
y-total cost
(2,11)
(5,21.5)
Find and equation that describes how much he charges

Accepted Answer

y=3.5x+4

Answer

y=3x+5.5

Answer

y=2.5x+7

Answer

y=3x-4

Question 42

Write the equation below in standard form
y = 2/3 x + 5.

Accepted Answer

2x - 3y= -15

Answer

-2/3x+y=5

Answer

-6/3x + 3y= 15

Answer

-2x+3y=15

Question 43

What slope is perpendicular to:
m = 5/8

Accepted Answer

-8/5

Answer

-5/8

Answer

5/8

Answer

8/5

Question 44

What does "m" represent in y=mx+b?

Accepted Answer

slope

Answer

y-intercept

Answer

macaroni

Answer

nothing

Question 45

What is the slope in the equation: y=4x+3

Accepted Answer

4

Answer

3

Answer

4x

Answer

x

Question 46

Give the x-intercept
3x + 8y = 24

Accepted Answer

(8, 0)

Answer

(0, 8)

Answer

(3, 0)

Answer

(0, 3)

Question 47

How would you write the equation with a slope of 2/3 and a y-intercept of -3

Accepted Answer

y=2/3x-3

Answer

y=3/2x+3

Answer

y=2/3-3

Answer

y=2/3x+3

Question 48

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

Accepted Answer

(-4, 3)

Answer

(3, -4)

Answer

(-3, -4)

Answer

(-4, -3)

Question 49

Name the x- and y-intercepts for the equation:
2x + y = 6

Accepted Answer

(3, 0) and (0, 6)

Answer

(0, 3) and (6, 0)

Answer

(0, -3) and (-6, 0)

Answer

(-3, 0) and (0, -6)

Question 50

Which of these represents standard form of a linear equation?

Accepted Answer

Ax + By = C

Answer

y - y₁ = m(x - x₁)

Answer

y = mx + b

Question 51

If the solution is infinitely many the lines will ________?

Accepted Answer

overlap each other

Answer

intersect at exactly one point

Answer

be parallel

Answer

never exist

Question 52

What is the y-intercept in the following equation:  y=-4x-5

Accepted Answer

-5

Answer

-4

Answer

-4x

Answer

5

Question 53

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

5

Question 54

The solution to a system of equations is any ordered pair that makes both equations true.

Accepted Answer

TRUE

Answer

FALSE

Question 55

Solve the system given:
3x - y = 7
2x + y = 3

Accepted Answer

(2,-1)

Answer

(-1,2)

Answer

(5,4)

Answer

(4,5)

Question 56

Find the x and y intercepts
4x - 5y = 40

Accepted Answer

x intercept is 10
y intercept is -8

Answer

x intercept is 10
y intercept is 8

Answer

x intercept is 10
y intercept is 20

Answer

x intercept is 8
y intercept is 10

Question 57

Which equation is written in standard form?

Accepted Answer

2x + 3y = 18

Answer

6y = x + 5

Answer

y-1 = 7(x - 2)

Answer

y = 1/2x + 15

Question 58

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

Accepted Answer

(6, 9)

Answer

(6, 6)

Answer

(9, 6)

Answer

(9, 9)

Question 59

Which of these represents point-slope form of a linear equation?

Accepted Answer

y - y₁ = m(x - x₁)

Answer

Ax + By = C

Answer

y = mx + b

Question 60

The solution (x, y) to a system of equations is the point where they...?

Accepted Answer

Intersect

Answer

Run off the graph

Answer

Don't touch

Answer

Exist

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