Free Printable math

1.

Evaluate.

$3+5\times7-8$

a)

48

b)

30

c)

8

d)

46

2.

Evaluate.

$100\div5^2+8\times3$

a)

34

b)

42

c)

28

d)

36

3.

Evaluate.

$6\times3-4\left(11-6\right)$

a)

2

b)

-2

c)

4

d)

-4

4.

Evaluate.

$\frac{8^2-4}{7+2^3}$

a)

1

b)

4

c)

45

d)

240

5.

Evaluate.

$64\div4^2+9\left(3+2\right)$

(a)

6.

Evaluate if $a=4$ and $b=7$ .

b^2-3a

a)

37

b)

61

c)

2

d)

5

7.

Evaluate if $x=9$ and $y=11$ .
$3x-4y$

a)

17

b)

-17

c)

3

d)

-3

8.

Evaluate if $a=5$ , $b=7$ and $c=3$ .
$4a-6c+b$

a)

-19

b)

19

c)

-9

d)

9

9.

Evaluate if $j=9$ and $k=4$ .
$\frac{k^2+14}{j-3}$

a)

3

b)

4

c)

5

d)

6

10.

Evaluate if $c=3$ and $d=11$ .
$c^2+4d$

(a)

11.

Write the following numerical expression as a word phrase

10 - 2

a)

10 divided by 2

b)

the sum of 10 and 2

c)

the difference between 10 and 2

d)

the product of 10 and 2

12.

What is the numerical expression for the word phrase below?

11 minus 9

a)

11 x 9

b)

11 + 9

c)

11x

d)

11 - 9

13.

Evaluate the numerical expression

5 x (2 + 1)

a)

11

b)

15

c)

10

d)

9

14.

Evaluate 2 + 4 x 2

a)

10

b)

12

c)

8

d)

16

15.

Evaluate the numerical expressions. Decide whether they are equivalent.

15 + 5

4 x 5

a)

The expressions are equivalent

b)

The expressions are not equivalent

16.

Evaluate the numerical expression

2(10 + 5)

a)

25

b)

17

c)

30

d)

10

17.

Classify this expression as either a numerical or an algebraic expression

13 + 5

a)

algebraic expression

b)

numerical expression

18.

identify the factors in the following algebraic expression

3(a+2)

a)

3a, 2

b)

3, (a+2)

c)

3, 2a

d)

3

19.

Describe the expression using an appropriate term or phrase

(2a +3) x 2

a)

sum of two terms

b)

product of two terms

c)

difference of two terms

d)

quotient of two terms

20.

Is 10d + 55 an algebraic expression?

a)

Yes because it has 55

b)

No because it has a coefficient

c)

Yes because it has a variable

d)

Yes because it expresses a problem

21.

12 + 5 is

a)

a numerical expression

b)

an algebraic expression

22.

2a + 2c + 5

how many terms? what's the constant?

a)

2 terms, the constant is 2c

b)

1 term, the constant is 5

c)

3 terms, the constant is 5

d)

3 terms, the constant is 2a

23.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

24.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

25.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

26.

10. x / 2 - 5 = 3

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

27.

x/5 - 13 = 20

a)

145

b)

165

c)

180

d)

190

28.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

29.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

30.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

31.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

32.

X - 10 > 25

a)

X > 35

b)

X < 35

c)

X > -35

d)

X < -35

33.

x/4≤8

a)

x≤2

b)

x≤32

c)

x≤12

d)

x≤4

34.

k/2≥8

a)

k≥16

b)

k≥6

c)

k≥4

d)

k≥10

35.

What property is this?

9(b + 0.5) = 9b + 4.5

a)

Distributive

b)

Communitive

c)

Associative

d)

Inverse

36.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

37.

Which are solutions?
20 > -2(x+5)

a)

n < -15

b)

n > -15

c)

n < -7.5

d)

n > -7.5

38.

Which are solutions?
-2(x + 5) > 6

a)

x > -8

b)

x < -8

c)

x > 8

d)

x < 8

39.

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

40.

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

41.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

42.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

43.

Mr. Ramierz is filling his swimming pool with water. The table shows the number of gallons of water w in the swimming pool after t minutes. If the pattern in the table continues, how many gallons of water w will be in the pool after 10 minutes?

a)

6 gallons

b)

69 gallons

c)

600 gallons

d)

2,400 gallons

44.

Colton earns $9 per hour mowing lawns. The total amount earned t equals the amount earned per hour times the number of hours h. Which equation gives the total amount earned t if Kenneth works h hours?

a)

t = 9h

b)

h = 9t

c)

t = 9 + h

d)

h = 9 + t

45.

The graph shows the distance y a cyclist traveled over a period of time x in hours. Which linear equation represents the relationship shown by the graph?

a)

y = x + 19

b)

y = x + 20

c)

y = x ÷ 20

d)

y = 20x

46.

The table shows the number of people n seated in each section of the gym depending on the total number of people p in the gym. Which equation could be used to find the number of people n that are seated in each section of the gym?

a)

n = 3p

b)

n = p ÷ 3

c)

n = p - 6

d)

n = p - 12

47.

How many people n would be seated in each section if there were 27 total people in the gym?

a)

7

b)

8

c)

9

d)

10

48.

The table shows the total charges c for an overdue library book after d days. If the pattern in the table continues, what is the total charge c for an overdue library book after 12 days?

a)

$0.40

b)

$0.64

c)

$0.88

d)

$0.96

49.

For what number of days d will the total charges for an overdue library book be $2.40?

a)

30

b)

24

c)

8

d)

5

50.

The linear equation y = 5x represents the cost y in dollars of x pounds of dog food. Which ordered pair lies on the graph of the equation?

a)

(3,15)

b)

(3,10)

c)

(2,3)

d)

(2,12)

51.

Brilee drives at a rate of 60 miles per hour. She lets x represent the time in hours and y represent the number of miles driven. Which ordered pair is a point on the graph of the relationship?

a)

(60,1)

b)

(4, 240)

c)

(3, 120)

d)

(2, 60
(2, 60)

52.

Meg wants to rent a bike. Bike rental costs $1.25 per hour plus a one-time fee of $3. Which equation represents the relationship between the number of hours h Meg rents the bike and the total cost c?

a)

h = 1.25c + 3

b)

c = 1.25h + 3

c)

h = 3c + 1.25

d)

c = 3h + 1.25

53.

DVDs cost $15 each. Porter graphs the relationship that gives the cost y in dollars of buying x DVDs. Which ordered pair is a point on the graph of the relationship?

a)

(0,15)

b)

(2,3)

c)

(3,45)

d)

(15,3)

54.

The linear equation y = 10x represents the total number of points y scored on a quiz if x questions are correct. Which ordered pair lies on the graph of the equation?

a)

(10,1)

b)

(7,70)

c)

(5,2)

d)

(4,15)

55.

Kady purchases a gallon of milk for $3 and some tomatoes for $2 per pound from the grocery store. Which equation represents the relationship between the number of pounds p of tomatoes purchased and the total amount a Kady spent at the grocery store?

a)

p = 3a + p

b)

a = 3p + 2

c)

p = 2a + 3

d)

a = 2p + 3

56.

Posters cost $7 each. Adrian graphs the relationship that gives the cost y in dollars of buying x posters. Which ordered pair is a point on the graph of the relationship?

a)

(3,10)

b)

(5, 15)

c)

(8, 52)

d)

(9, 63)

57.

A bowling alley charges $1.50 for shoes rental and $2 per game. The table shows the total cost y of bowling x games. Which equation could be used to find the total cost y of bowling x games?

a)

y = 2x+1.5

b)

y = 1.5x + 2

c)

y = x + 2

d)

y = x + 1.5

58.

What is the total cost y of bowling 3 games?

a)

$7.50

b)

$6.50

c)

$5.00

d)

$4.50

59.

Stan reads 3 books each month. Which ordered pair is a point on the graph that shows the relationship between the total number of books y Stan reads in x months?

a)

(9,3)

b)

(5, 15)

c)

(4, 7)

d)

(3, 1)

60.

The table shows the amount of flour x that Megan uses for y dozen cookies. If the pattern in the table continues, how many cups of flour x does Megan use for 20 dozen cookies?

a)

6 cups

b)

7 cups

c)

17 cups

d)

24 cups

61.

Nathaniel earns $12 per hour at his summer job. The linear equation y = 12x represents his earnings y for x hours of work. Which ordered pair lies on the graph of the equation?

a)

(0, 12)

b)

(4, 16)

c)

(8, 96)

d)

(12, 1)

62.

Elijah uses a 20-dollar bill to purchase an item that costs x dollars. Which equation represents the amount of change y that he should receive from his purchase?

a)

y = 20 - x

b)

y = 20 + x

c)

x = 20 ÷ y

d)

x = 20y

63.

A car wash charges $10 for a regular wash. A graph shows the relationship that gives the amount earned y at the car wash from x regular washes. Which set of ordered pairs lies on the graph of the relationship?

a)

(0,10), (2, 5), (10, 1), (20, 2)

b)

(1,9), (2,8), (3, 7), (4, 6)

c)

(1,11), (2, 12), (3, 13), (4, 14)

d)

(1,10), (2, 20), (4, 40), (5, 50)

64.

The cost to operate a printer per page printed is $0.20. The table shows the total cost c based on the number of pages p printed. What is the total cost c to operate the printer if 420 pages are printed?

a)

$60

b)

$84

c)

$470

d)

$670

65.

The linear equation y = 4x represents the number of pounds of clay y needed to make x bowls. Which ordered pair lies on the graph of the equation?

a)

(0,4)

b)

(2,2)

c)

(4,1)

d)

(6,24)

66.

Taya is charged a $5 rental fee and $2 per hour to rent skates. Which equation gives the total cost y in dollars for renting skates for x hours?

a)

y = 5x + 2

b)

y = 2x - 5

c)

y = 2x + 5

d)

y = 5x - 2

67.

Spencer uses 3 tickets for each ride at the county fair. Which equation models the total number of tickets t he uses for r rides?

a)

r = 3t

b)

t = 3r

c)

t = 3 + r

d)

r = 3 + t

math

Total questions: 67

Worksheet time: 3hrs 11mins

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