Free Printable 2NW Test Review

1.

Which system of inequalities matches this graph?

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

2.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x + 1
y ≥ x + 4

3.

Which system of inequalities is described by this graph?

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

4.

Which system of inequalities is represented by the graph?

a)

x≤-2
y≤x-3

b)

y≤-2
y≤x-3

c)

x≥-2
y≤x-3

d)

y≥-2
y≤x-3

5.

Which system of inequalities matches the graph?

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

6.

Which system of inequalities is represented by this graph?

a)

y < -3x + 3 and y > -3x - 1

b)

y ≥ -3x + 3 and y ≤ -3x - 1

c)

y ≤ -3x + 3 and y ≥ -3x - 1

d)

y > -3x + 3 and y < -3x - 1

7.

Jill and Jack want to improve their yards by planting hostas and ivy. The cost of one hosta is $8 and the cost of one pot of ivy is $12. They do not want to spend more than $60 and they want to buy at least 6 plants. Write a system that represents the possible number of hosta x, and ivy plants y, that could be sold to meet these conditions.

a)

8x + 12y ≥ 60
x + y ≥ 6

b)

8x + 12y ≤ 60
x + y ≥ 6

c)

8x + 12y ≤60
x + y ≤ 6

d)

8x + 12y ≥ 60
x + y ≤6

8.

Tom wants to make tables and chairs. He has a total 150 wooden boards and 350 nails. A table needs 15 boards and a chair needs 6 boards. A table also needs 28 nails while a chair requires 25 nails. Write a system that represents the possible number of tables x, and chairs y, that could be sold to meet these conditions.

a)

15x + 6y ≤ 150
28x + 25y ≤ 350

b)

15x + 6y ≤ 350
28x +25y ≤ 150

c)

15x + 6y ≥ 150
28x + 25y ≥ 350

d)

15x + 6y ≥ 350
28x + 25y ≥ 150

9.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

10.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

11.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=134
x+y=120

b)

3x+3y=134
4x+3y=120

c)

4x+3y=134
3x+3y=120

d)

7xy=134
6xy=120

12.

Find the slope of the line.

a)

2/1

b)

1/2

c)

-1/2

d)

-2/1

13.

Find the slope of the line that goes through the points (-8,6) and (7,-3).

a)

1/3

b)

-1/3

c)

-3/5

d)

-5/3

14.

What direction is an undefined slope?

a)

horizontal

b)

vertical

15.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

16.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

17.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

18.

What is the slope intercept form of this equation?
3x - 4y = 24

a)

y = 3/4 x + 6

b)

y = 3/4 x - 6

c)

y = -3/4x + 6

d)

y = -3/4x - 6

19.

Write an equation
m = 1/3 through (4, 4)

a)

y = -1/3x + 8/3

b)

y = 8/3x - 1/3

c)

y = 8/3x + 1/3

d)

y = 1/3x + 8/3

20.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

21.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

617.5 miles

c)

0.19 miles

d)

500 miles

22.

The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:

a)

After 0 hours of driving, they went 61.93 miles.

b)

They drove at a speed of 61.93 miles per hour.

c)

They drove 61.93 miles total.

d)

They drove 61.93 hours total.

23.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

24.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

25.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

26.

If Joe worked 30 hours, how much is he expected to earn?

a)

$600

b)

$200

c)

$1000

d)

$800

27.

^{What is the solution to the system?}

a)

(1,1)

b)

-2

c)

(1, 2)

d)

(1, -1)

28.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

29.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

30.

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

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

31.

Solve by Graphing: What is the solution to this system?

y = 2/3x - 2

y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

32.

Solve the system by graphing:
y = 6x - 4
y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)

33.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Identical line

c)

Parallel lines

34.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

35.

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

a)

t + n = 54
t = 3n + 8

b)

t + n = 54
n = 3t + 8

c)

t + n = 54
t = 3n - 8

d)

t + n = 8
t = 3n + 54

36.

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?

a)

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

b)

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

c)

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

d)

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

37.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

38.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

39.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

40.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?

a)

40 nickels, 40 dimes

b)

52 nickels, 28 dimes

c)

28 nickels, 52 dimes

d)

30 nickels, 50 dimes

41.

Which of the following is not a method for solving systems of equations

a)

Elimination

b)

Substitution

c)

Estimation

d)

Graphing

42.

a)

5x⁷

b)

6x¹²

c)

6x⁷

d)

5x¹²

43.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

44.

What is the value of:
(3/4)⁰

a)

1

b)

0

c)

3/4

d)

3/16

45.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

46.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

47.

x^-3

a)

1/x³

b)

1/x^-3

c)

3x

d)

1/3x

48.

Simplify the expression. $-\frac{x^4y^{-4}}{\left(yx^{-3}z^{-4}\cdot-2x^3y^{-1}\right)^{-2}}$

a)

$\frac{yz^6}{x^{12}}$

b)

$-\frac{4x^4}{y^4z^8}$

c)

$-\frac{x^2z^6}{2y}$

d)

$\frac{y^3}{2x^6z^8}$

49.

Simplify the expression. $-\frac{y^{-4}z^2\cdot y^0z^2}{\left(2z^{-4}\right)^3}$

a)

$-\frac{z^{16}}{8y^4}$

b)

$-y^{24}x^{18}$

c)

$\frac{y^3}{x}$

d)

$\frac{x^4z^6}{4y^7}$

50.

Simplify

a)

b)

c)

d)

51.

Simplify:

a)

x⁴/4y³

b)

x¹²/4y⁹

c)

x¹²/64y⁹

d)

x¹²/4y³

52.

$\frac{18w^{15}v^{10}}{6w^3v^2}$

a)

$12w^{12}v^8$

b)

$3w^{12}v^8$

c)

$3w^5v^5$

d)

$12w^5v^5$

53.

a)

2y²⁴

b)

2¹⁰

c)

2y¹⁰

d)

2y¹⁴

54.

$\left(\frac{2y^0}{2x^4y^4\cdot x}\right)^2$

a)

$\frac{1}{x^{10}y^8}$

b)

$\frac{4y^6}{x}$

c)

$\frac{x^{10}}{2y}$

d)

$\frac{x^{16}}{y^3}$

55.

$\left(\frac{2u^2\cdot2u}{2u^2v^0}\right)^2$

a)

$\frac{64v^{60}}{u^{42}}$

b)

$\frac{8v^5}{u^5}$

c)

$4u^2$

d)

$\frac{1}{u^{24}v^{32}}$

56.

Simplify the expression. $\frac{2y}{\left(xyx^0\right)^{-1}}$

a)

$\frac{x^{10}}{y^6}$

b)

$\frac{x^{16}}{y^4}$

c)

$2xy^2$

d)

$\frac{x^6}{4y^8}$

57.

Simplify the expression $\frac{x^2}{2x^{-1}y^3\cdot2y^{-4}}$

a)

$\frac{x^3y}{4}$

b)

$\frac{1}{4y^{12}x}$

c)

$\frac{x^3}{2}$

d)

$\frac{2y^4}{x^2}$

58.

Simplify:

a)

2√12

b)

4√12

c)

4√3

d)

16√3

59.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

60.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

2NW Test Review

Total questions: 60

Worksheet time: 6hrs 29mins

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