Quiz about Midterm Exam Review

Question 1

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 2

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 3

How many solutions?

Accepted Answer

No solution

Answer

One Solution

Answer

Infinitely Many Solutions

Question 4

What letter is ordered pair (-3,-5)?

Accepted Answer

B

Answer

M

Answer

S

Answer

P

Answer

A

Question 5

What is the y-intercept?

Accepted Answer

(0, 5)

Answer

(5, 0)

Answer

(-5, 0)

Answer

(0, -5)

Question 6

Which of the following graphs has a NEGATIVE SLOPE?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 7

Solve for x. $$\frac{3}{12}=\frac{19}{x}$$

Accepted Answer

76

Answer

72

Answer

5

Answer

51

Question 8

(4x²+ x) - (x²+ 2x)

Accepted Answer

3x2 - x

Answer

4x2 + 2x

Answer

3x2 + 3x

Answer

3x2 + 2x

Question 9

Solve the system:

x + 6y = 17

-x + 3y = -8

Accepted Answer

(11, 1)

Answer

(5, 2)

Answer

(1, 11)

Answer

no solution

Question 10

Simplify.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 11

Which choice matches the slope of the line graphed below?

Accepted Answer

$$\frac{-3}{2}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$-\frac{2}{3}$$

Question 12

Solve the proportion:

Accepted Answer

15

Answer

5

Answer

10

Answer

12

Question 13

Find the slope of the line.

Accepted Answer

0

Answer

Undefined

Answer

1

Answer

-1

Question 14

Find the slope of the line.

Accepted Answer

Undefined

Answer

0

Answer

1

Answer

-1

Question 15

Find the slope between the two given points: (-2,1) and (5,7)

Accepted Answer

6/7

Answer

7/6

Answer

2

Answer

-2

Question 16

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 17

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

Accepted Answer

y = 2x - 11

Answer

y = 2x + 11

Answer

y = 2x + 1

Answer

y = 2x - 1

Question 18

Solve.
|2x - 1| = 7

Accepted Answer

x = -3 or x = 4

Answer

x = 4

Answer

x = 4 or x = -4

Answer

no solution

Question 19

What is the solution to this system?
x = 7 - 2y
2x + y = 5

Accepted Answer

(1,3)

Answer

(-1,4)

Answer

(4,-1)

Answer

(3,1)

Question 20

$$8x-3\left(2x-4\right)=3\left(x-6\right)$$

What is the solution to the equation?

Accepted Answer

30

Answer

6

Answer

2

Answer

No solution

Question 21

Solve:

2(2x + 3) = -6(x + 9)

Accepted Answer

-6

Answer

1.2

Answer

6

Answer

7.5

Question 22

Which graph represents the equation $$y=4x-1$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 23

Write equation of the line containing (3,2) and (4,4)

Accepted Answer

y = 2x - 4

Answer

y = 1/2x + 2

Answer

y = 1/2x + 4 1/2

Answer

y = -2x + 12

Question 24

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

Accepted Answer

y = 15x + 40

Answer

y = 40x + 15

Answer

y = 15x

Answer

y = 15x - 40

Question 25

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

Accepted Answer

y = 30 + 12.50x

Answer

y = 12.50 + 30x

Answer

y = 12.50 + 30

Answer

12.50x = 30

Question 26

A man is climbing down from 100 feet high descending 30 feet per minute.

Accepted Answer

y = - 30x + 100

Answer

y = 30x - 100

Answer

y = 100x + 30

Answer

y = 100x - 30

Question 27

The equation y = 120x + 250 represents the cost for renting an event hall where x represents the number of hours a customer rents the hall and y represents the total cost. If Alan paid $790.00, how many hours did he rent the hall?

Accepted Answer

4.5 hours

Answer

4 hours

Answer

5 hours

Answer

5.5 hours

Question 28

The equation y = 2.50x + 225 represents the purchase of posters for a fundraiser where x represents the number of posters ordered and y represents the total cost. If Nick wanted to order 400 posters, what would be the total cost?

Accepted Answer

$1225.00

Answer

$625.00

Answer

$750.00

Answer

$1000.00

Question 29

Which of the following situations could be descried by the equation y= -25x + 120

Accepted Answer

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Answer

There are 120 people in the football stadium, and 25 more are entering each hour.

Answer

A plumber charges $25 for a house call and $120 per hour.

Answer

A teacher has 120 students. Her third period has 25 students

Question 30

At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?

Accepted Answer

2 feet per second

Answer

10 feet per second

Answer

5 feet per second

Answer

6 feet per second

Question 31

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

Accepted Answer

7 months

Answer

6 months

Answer

5 months

Answer

4 months

Question 32

You are trying to decide between two companies to cater your party. One company chargers $18 per plate with a deposit of $300. The second company charges $22 per plate with a deposit of $200. Which systems represents how many guests would you need to invite for the two companies to be the same price?

Accepted Answer

$$y=18x+300$$

$$y=22x+200$$

Answer

$$y=18+300x$$

$$y=22+200x$$

Answer

$$y=18x-300$$

$$y=22x-200$$

Answer

$$y=18x+200$$

$$y=22x+300$$

Question 33

Find the difference.
(3 - 2x + 2x²) - (4x - 5 + 3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 34

Find the slope

Accepted Answer

-3/2

Answer

-2/3

Answer

3/2

Answer

2/3

Question 35

What is the equation of this line?

Accepted Answer

x=5

Answer

y=5

Answer

y=5x

Answer

x=-5

Question 36

Sanaii says that

$$x^4\cdot x^5=x^{20}$$
Benjamin says that
$$x^4\cdot x^5=x^9$$
Who is correct?

Accepted Answer

Benjamin

Answer

Sanaii

Question 37

Simplify:

$$\left(5x^2y^4\right)^3$$

Provide Standard form

Accepted Answer

$$125x^6y^{12}$$

Answer

$$5x^6y^{12}$$

Answer

$$125x^5y^7$$

Answer

$$15x^6y^{12}$$

Question 38

What is the missing term?

Accepted Answer

$$2x^2$$

Answer

2x

Answer

3x

Answer

$$3x^2$$

Question 39

What is the missing term?

Accepted Answer

-5x

Answer

4x

Answer

5x

Answer

5x-1

Question 40

What is the product of this generic rectangle?

Accepted Answer

(x+3)(x+2)

Answer

2x+5

Answer

$$x^2+5x+6$$

Answer

$$x^2+6$$

Question 41

What is the sum of this generic rectangle?

Accepted Answer

$$x^2+5x+6$$

Answer

2x+5

Answer

(x+3)(x+2)

Answer

$$x^2+6$$

Question 42

What is the product of this generic rectangle?

Accepted Answer

(x+3)(x+5)

Answer

$$x^2+15$$

Answer

2x+8

Answer

$$x^2+8x+15$$

Question 43

Use the distributive property to simplify $$3x\left(2x-1\right)$$

Accepted Answer

$$6x^2-3x$$

Answer

$$6x-1$$

Answer

$$5x^2-2x$$

Answer

$$3x^2$$

Question 44

Draw a generic rectangle to multiply $$\left(x+5\right)^2$$ , then find the sum.

Accepted Answer

$$x^2+10x+25$$

Answer

2x+10

Answer

$$x^2+25$$

Answer

$$x^2+10$$

Question 45

^simplify 5x³2x²

Accepted Answer

10x5

Answer

3x

Answer

10x6

Answer

7x5

Question 46

Simplify $$\frac{m^{12}}{m^3}$$

Accepted Answer

m9

Answer

m4

Answer

m-9

Answer

-m9

Question 47

Evaluate using the quotient rule:

Accepted Answer

a2b7

Answer

a8b13

Answer

a¹⁵b³⁰

Question 48

Simplify: (3x²)³

Accepted Answer

27x6

Answer

9x6

Answer

3x6

Answer

9x5

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