Quiz about Fall Semester Exam Part 1

Question 1

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

Accepted Answer

x + y = 33
x = 2y - 3

Answer

x + y = 33
y = 2x - 3

Answer

x + y = 33
x = 3 - 2y

Answer

x + y = 3
x = 33 - 2y

Question 2

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

Accepted Answer

4x + 6y = 13

3x + 7y = 13.5

Answer

4x + 6y = 3

13.5x - 13y = 6

Answer

x + y = 4

x - y = 6

Answer

4x - 6y = 13

3x - 7y = 13.5

Question 3

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

Accepted Answer

S + A = 530
3S + 4A = 1740

Answer

S + A = 530
4S + 3A = 1740

Answer

S + A = 1740
3S + 4A = 530

Answer

S + A = 1740
4S + 3A = 530

Question 4

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

Accepted Answer

5q + 2z = 1.32
3q + 1z = 0.75

Answer

5q + 2z = 1.32
1z = 0.75

Answer

q + z = 1.32
q + z = 0.75

Answer

5q + 2z = 0.75
3q + 1z = 1.32

Question 5

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 6

Find the slope of the line that passes through
(10, 1) and (5, 2)

Accepted Answer

-1/5

Answer

1/5

Answer

5

Answer

-5

Question 7

Write the equation of the line.

Accepted Answer

y=(3/5)x-1

Answer

y=(3/5)x+1

Answer

y=(5/3)x+1

Answer

y=(3/5)x+1

Question 8

Write the equation for the line.

Accepted Answer

y= 4x+3

Answer

y= -1x+3

Answer

y=(1/4)x+3

Answer

y= -4x+3

Question 9

The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

Accepted Answer

$308

Answer

$2

Answer

$1.57

Answer

$265

Question 10

On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

Accepted Answer

27 cm

Answer

675 cm

Answer

529 cm

Answer

32 cm

Question 11

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 12

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 13

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 14

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

Accepted Answer

y + 1 = -3(x + 2)

Answer

y + 1 = -3(x - 2)

Answer

y - 1 = 3(x - 1)

Answer

y + 2 = -3(x + 1)

Question 15

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

Accepted Answer

y + 3 = 1(x + 2)

Answer

y - 3 = 1(x - 2)

Answer

y -3 = -1(x + 2)

Answer

y + 3 = -1(x - 2)

Question 16

Perpendicular lines have the same slope.

Accepted Answer

False

Answer

True

Question 17

Perpendicular lines have the same slope.

Accepted Answer

False

Answer

True

Question 18

Perpendicular lines have the same slope.

Accepted Answer

False

Answer

True

Question 19

The slope of perpendicular lines are negative reciprocals

Accepted Answer

True

Answer

False

Question 20

Parallel lines have the same slope

Accepted Answer

True

Answer

False

Question 21

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

Accepted Answer

y = -1/3x +1

Answer

y = -1/3x - 5

Answer

y = 3x-29

Answer

y = 1/3x -5

Question 22

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

Accepted Answer

y = 4x + 12

Answer

y = -4x -4

Answer

y = -1/4x + 5/2

Question 23

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

Accepted Answer

3y = -4x + 5

Accepted Answer

y = -4/3x + 8

Answer

y = 3/4x - 3

Answer

y = -3/4x + 9

Answer

4y = -3x + 7

Question 24

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

Accepted Answer

Parallel

Answer

Perpendicular

Answer

Neither

Question 25

Line a passes through (0, 3) and (-4, 8)

Line b passes through (0, 5) and (5,9)

Lines a and b are ?

Accepted Answer

Perpendicular

Answer

Parallel

Answer

Neither

Question 26

Solve for b:
-11 + 3(b + 5) = 7

Accepted Answer

b = 1

Answer

b = -1

Answer

b = 3

Answer

b = -3

Question 27

Solve for s:
3s + 15 = 3(s + 5)

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

s = 15

Answer

s = 0

Question 28

Solve:
6(5x - 3) + 2 = 14

Accepted Answer

1

Answer

2

Answer

.5

Answer

-1

Question 29

-2x + 2 > 3x - 8

Accepted Answer

x < 2

Answer

x > -9

Answer

x > 2

Answer

x < -9

Question 30

4x - 3 < -1x + 12

Accepted Answer

x < 3

Answer

x > 3

Answer

x < 5

Answer

x > 5

Question 31

Rewrite in standard form

y - 2 = 4/3(x - 1)

Accepted Answer

4x - 3y = -2

Answer

4x + 3y = -2

Answer

4x - 3y = 1

Answer

4x - 3y = -2/3

Question 32

Rewrite in standard form.

4y = 3 - 4/5x

Accepted Answer

4x + 20y = 15

Answer

4x - 20y = 15

Answer

4x + 4y = 15

Answer

4x + 4y = 3

Question 33

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 34

What is the solution to the system of linear equations below?
4x - 2y = 20
x +2y = -5

Accepted Answer

(3,-4)

Answer

(-4,3)

Answer

No Solution

Answer

(20, -5)

Question 35

What is the solution to the system of linear equations below?
4x + 3y = 9
-4x - 2y = -6

Accepted Answer

(0,3)

Answer

(3,0)

Answer

No Solution

Answer

x=3

Question 36

Which point is a solution?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 37

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Fall Semester Exam Part 1

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