Quiz about Algebra Exam

Question 1

Find the slope, m, and the y-intercept, b, of the line whose equation is 2x + 3y = 12.

Accepted Answer

m= -2/3 b=4

Answer

m=2/3 b=6

Answer

m=2/3 b=4

Answer

m= -2/3 b=6

Question 2

Martha decides to babysit for $6 per hour to earn money for a concert ticket that costs $25. Which inequality shows the number of hours, h, she needs to babysit to earn at least enough money to buy the concert ticket?

Accepted Answer

6h $$\ge$$ 25

Answer

Answer

Answer

Question 3

What is the equation, in slope-intercept form, of the line that passes through the point ( -3, 11) and has a slope of -4 ?

Accepted Answer

Answer

Answer

Answer

Question 4

Jenny invested $300 in an account where her money doubles every 7 years. How much money will be in her account at the end of 35 years?

Accepted Answer

$ 9,600

Answer

$ 4,200

Answer

$21,000

Answer

$38,400

Question 5

A Freight truck unloads 1/2 of its cargo at each depot. It starts with 64,000 lbs of cargo. When the truck leaves the 5th depot what is its weight?

Accepted Answer

2,000

Answer

6,400

Answer

500

Answer

160

Question 6

What is the value of y for the solution to this system of equations?
y= 3/2x+7
x=-6

Accepted Answer

Answer

Answer

Answer

Question 7

What is the solution to this system of equations?

y+x = 5x+3

12-y = x+2y

Accepted Answer

x=3/13 , y=51/13

Answer

x=1/4 , y=4

Answer

x=6/11 , y=63/11

Answer

x=21/13 , y=45/13

Question 8

What is the solution, (x, y), to this system of equations?

Accepted Answer

(-8,-5)

Answer

(8,-3)

Answer

(9,10)

Answer

(4,-5)

Question 9

What is the range of f(x) = -3(4x-5) ?

Accepted Answer

All real numbers

Answer

All real numbers $$\ge$$ 0

Answer

All real numbers $$\le$$ 15

Answer

All real numbers $$\ge$$ 15

Question 10

Evaluate -3x-4y + 2z for x = -1, y = 2, and z = 3.

Accepted Answer

1

Answer

-11

Answer

-5

Answer

-1

Question 11

What is the (x,y) solution to this system of equations?

3x-5y=11

x=3y+5

Accepted Answer

(2,-1)

Answer

(-1,2)

Answer

(1,-2)

Answer

(-2,1)

Question 12

The Surf Shop rents surfboards at $15 per hour and wet suits at $18 per half hour. Which equation models the cost, T, of renting 1 surfboard and 1 wet suit for x hours?

Accepted Answer

T=15x18(2x)

Answer

T=x(15+18)

Answer

T=15x+18

Answer

T=15x+18(x/2)

Question 13

Jamal goes to a restaurant with $10. He orders soup for $3.99 and keeps $1.50 aside for a tip. Which inequality shows the amount, x, he can spend on the rest of his meal and still have some money left?

Accepted Answer

x < 10 - 3.99 - 1.50

Answer

x < 10 - 3.99 + 1.50

Answer

x $$\ge$$ 10 - 3.99 + 1.50

Answer

x > 10 - 3.99 - 1.50

Question 14

What is the equation, in standard form, of the line that passes through ( 3, 5) and has a slope of 2 ?

Accepted Answer

-2x + y = 1

Answer

-2x + y = -2

Answer

y = 2x + 7

Answer

y = 2x + 1

Question 15

Joe's towing company charges a base rate of $90 plus $4.50 per mile for each mile over 2 miles. Mac's towing company charges a base rate of $70 plus $5 per mile for each mile over 2 miles. For what total mileage will both companies charge the same amount?

Accepted Answer

42

Answer

38

Answer

40

Answer

44

Question 16

What is the domain of f(x) = 3x + 7 ?

Accepted Answer

{all real numbers}

Answer

{all real numbers $$\ge$$ 3}

Answer

{all real numbers $$\ge$$ 0}

Answer

. {all real numbers $$\le$$ -7}

Question 17

What is the solution to this system of equations?

3x+3y=6

y=x-2

Accepted Answer

x = 2, y = 0

Answer

x = 0, y = -2

Answer

x = 0, y = 2

Answer

x = -2, y = -4

Question 18

Find the slope of the line through the points (-8, -3) and (-5, -9).

Accepted Answer

-9+3/-5+8

Answer

6/13

Answer

9/8

Answer

-1/4

Question 19

A line runs through I(3, -6) and J(-5, 1). Find the equation of the line.

Accepted Answer

y = -7/8x - 27/8

Answer

y = 7/8x - 27/8

Answer

y = 7/8x + 3

Answer

y = -7/8x

Question 20

A line runs through M(-1, 3) and N(4, -9). Find the equation of the line and solve for y.

Accepted Answer

y = -12/5x + 3/5

Answer

y = -12/5x - 18 3/5

Answer

y = -12/5x

Answer

y = -12/5x - 39/5

Question 21

Given the points O(-3, 4), Q(-2, 6), write an equation for the line OQ and find the y-coordinate for point P (3, y) on the line OQ.

Accepted Answer

P(3, 16)

Answer

P(3, 2)

Answer

P(3, 4)

Answer

P(3, 44/5)

Question 22

Given the coordinate points C(-1, 8), L(5, -2), and H(-6, y), write an equation for line CL and find the y-coordinate for point H (-6, y) on the line CL.

Accepted Answer

y = 16 1/3

Answer

y = 1.67

Answer

y = 16.4

Answer

y = -5/3

Question 23

Given the coordinates (1, 9) and (7, 3), find the equation of the line.

Accepted Answer

y = -x + 10

Answer

y = x - 10

Answer

y = 1/10x

Answer

y = -10x

Question 24

Given the coordinates (2, 2) and (4, -1), find the equation of the line.

Accepted Answer

3x + 2y = 10

Answer

3x + 2y = - 1

Answer

x + 2y = 3

Answer

- x + 2y = 1

Question 25

Given the coordinates (1, -5) and (-1, -1), find the equation of the line.

Accepted Answer

2x + y = -3

Answer

-x + 2y = -11

Answer

x + 2y = -9

Answer

-2x + y = -7

Question 26

Given the coordinates (1, 5) and (2, 9), find the equation of the line.

Accepted Answer

-4x + y = 1

Answer

x + 4y = 2

Answer

-x + 4y = 19

Answer

4x + y = 9

Question 27

Determine the equation of the line that passes through the points (4, 2) and (-3, 9). Use the form y = mx + b.

Accepted Answer

y = -1x + 6

Answer

1x + 1y = 6

Answer

-7x + y = 30

Answer

y = -7x + 30

Question 28

Which function is nonlinear and includes a valid reason for being nonlinear?

Accepted Answer

y= $$-5x^2$$ + 1/2 since it has a degree of 2

Answer

y=-3x+ $$9^2$$ since it has a negative coefficient of x

Answer

y=-3x+ $$9^2$$ since it has a squared term

Answer

y= $$-5x^2$$ + 1/2 since it has a fraction

Question 29

Solve for p.

- p + 14.1 - (12 - 4) = 6.3

Accepted Answer

-0.2

Answer

15.8

Answer

0.2

Answer

-15.8

Question 30

Solve for x.

(34 - x) + 11 = -4

Accepted Answer

49

Answer

-49

Answer

-45

Answer

45

Question 31

Solve for x.

15 - (2x - 4) = 5

Accepted Answer

7

Answer

-3

Answer

3

Answer

-7

Question 32

Solve for t.

4(t - 5) + 3 = t + 1

Accepted Answer

6

Answer

-3/16

Answer

-16/5

Answer

-22/3

Question 33

You are planning a vacation for you and a friend and you must choose the most economical places to stay and eat. The Colonial Bed and Breakfast has two vacation plans. Vacation Plan A includes two nights stay and one meal for $106.00. Vacation Plan B includes two nights stay and four meals for $130.00. How much is the Colonial Bed and Breakfast charging for each night's stay and each meal?

Accepted Answer

$49.00 per night / $8.00 per meal

Answer

$93.00 per night / $23.00 per meal

Answer

$56.40 per night / $47.20 per meal

Answer

$81.00 per night / $8.00 per meal

Question 34

Solve this system of equations:

12x - 5y = 30

y = 2x - 6

Accepted Answer

x = 0, y = -6

Answer

x = 5/6, y = -4

Answer

x = 2, y = -6/5

Answer

x = 0, y = 6

Question 35

Solve this system of equations.

2x - y = 9

x + y = 9

Accepted Answer

x = 6, y = 3

Answer

x = 4, y = 5

Answer

x = 9, y = 9

Answer

x = 18, y = -9

Question 36

Solve this system of equations.

x = y + 2

2y - 3x = 15

Accepted Answer

x = -19, y = -21

Answer

x = 11, y = 9

Answer

x = -7, y = -9

Answer

x = 23, y = 21

Question 37

Solve for x.

3x - 9 + 4x = 12

Accepted Answer

3

Answer

21

Answer

3/7

Answer

-21

Question 38

Solve for x.

-5(3x + 1) = 10

Accepted Answer

-1

Answer

-1/3

Answer

1

Answer

-75

Question 39

Solve

1/2x+4 = 3/4(2x-8)

Accepted Answer

10

Answer

-10

Answer

12

Answer

-12

Question 40

Look at the steps used to solve the equation below.

-5(x - 2) = 4x - 9

Step 1: -5x - 2 = 4x - 9

Step 2: -5x - 4x = -9 + 2

Step 3: -9x = -7

Step 4: x = 63

Which step has the first error, and what is the correct step?

Accepted Answer

Step 1: -5x + 10 = 4x - 9

Answer

Step 2: -5x + 4x = -9 + 2

Answer

step 2: -5x + 4x = -9 - 2

Answer

Step 1: -5x - 10 = 4x - 9

Question 41

What is the y-coordinate of the solution for the system of equations below?

3x-2y = 5

7x-y = -14

Accepted Answer

-7

Answer

-1

Answer

2

Answer

-10

Question 42

Solve the system of equations below.

5x + 9y = 18

6x - 18y = 12

Accepted Answer

(3,1/3)

Answer

(2 7/12,3/4)

Answer

(-2,-1 1/3)

Answer

(2,0)

Question 43

Solve the system of equations below.

x + 2y = 8

2x + 8y = 4

Accepted Answer

(14, -3)

Answer

(10, -1)

Answer

(2, 3)

Answer

(12, -2)

Question 44

Brian buys three hats and four shirts for $95.00 at a store. His friend buys one hat and two shirts at the same store for $45.00. If each hat costs the same and each shirt costs the same, which of the following shows the system of equations that can be used to find the cost of a hat and a shirt and includes the solution?

Accepted Answer

3x + 4y = 95

x + 2y = 45

solution: $5 per hat

$20 per shirt

Answer

3x + 4y = 95

2x + y = 45

solution: $17 per hat

$11 per shirt

Answer

3x + 4y = 95

2x + y = 45

solution: $11 per hat

$17 per shirt

Answer

3x + 4y = 95

x + 2y = 45

solution: $20 per hat

$5 per shirt

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