Free Printable 1st Semester REVIEW

1.

Which equation matches the sentence "8 less than q is 14"?

a)

q - 8 = 14

b)

8 - q = 14

c)

8 + q = 14

d)

8q = 14

2.

Translate the statement into an equation:
10 more than twice a number is 18

a)

2n + 10 = 18

b)

10n + 2 = 18

3.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

4.

Two more than 4 times a number is -18.

a)

4x + 2 = -18

b)

2x + 4 = -18

c)

18 = 4x +2

5.

eight more than a number is twenty

a)

8 + x = 20

b)

x + 20 = 8

c)

x- 20 = 8

d)

8 - x = 20

6.

one-fourth of a number is 12

a)

1/4x = 12

b)

14x = 12

c)

x14 = 12

d)

x1/4 = 12

7.

two more than four times a number equals 16

a)

2x + 4 = 16

b)

2 + 4x = 16

c)

2x - 4 = 16

d)

2 - 4x = 16

8.

Translate:

The quotient of a number and -5 is 15

a)

-5x = 15

b)

x - 5 = 15

c)

x + 5 = 15

d)

x/-5 = 15

9.

Correctly translated, 9 subtracted from a number is 12 would be...

a)

9 - x = 12

b)

x - 9 = 12

c)

9 + x = 12

d)

-9 + x = 12

10.

Translate:

The product of a number and 4 IS 28.

a)

4 + x = 28

b)

4x = 28

c)

x/4 = 28

d)

4 - x = 28

11.

Translate the statement below to an equation:

Twice a number is 20

a)

2+n=10

b)

2n=10

c)

2n=20

12.

Translate the statement below into an equation:

9 less than a number is -12

a)

9-n=-12

b)

9n=-12

c)

n-9=-12

13.

Translate the statement below into an equation:

The quotient of 20 and a number is -5

a)

$\frac{20}{n}=-5$

b)

20n=-5

c)

20-n=-5

d)

n-20=-5

14.

Translate the statement below into an equation:

The product of a number and 5 is 45

a)

$\frac{n}{5}=45$

b)

n-5=45

c)

5+n=45

d)

5n=45

15.

Translate the following equation

The sum 12 and a number is 56

a)

12+n=56

b)

12-y=56

c)

12y=56

d)

$\frac{12}{y}=56$

16.

Translate the following into an equation:

The difference of a number and 5 is 75

a)

n/5=75

b)

5n=75

c)

n+5=75

d)

n-5=75

17.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

18.

How would you translate
x - 5 = 12 into words?

a)

x - 5 = 12

b)

The product of x and 5 is twelve

c)

x less than 5 is 12

d)

Five less than x is 12.

19.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

20.

Sum means...

a)

add

b)

subtract

c)

multiply

d)

divide

21.

Quotient means...

a)

add

b)

subtract

c)

multiply

d)

divide

22.

What is the first step:

3x-4=14

a)

Subtract 4 on both sides

b)

Add 4 on both sides

c)

Divide by 3

d)

Subtract 14

23.

What is the second step:

3x-4=14

a)

Subtract 4 on both sides

b)

Add 4 on both sides

c)

Divide by 3

d)

Subtract 14

24.

Solve for x:

3x-4=14

a)

6

b)

3

c)

-6

d)

-3

25.

The opposite of SUBTRACTION:

a)

ADDITION

b)

SUBTRACTION

c)

DIVISION

d)

MULTIPLICATION

26.

What are my first two steps?

4x+16=24

a)

-16 on both sides, then divide both sides by 4

b)

-4 on both sides, then divide both sides by 6

c)

-16 on both sides, then -4 on both sides

d)

-24 on both sides, then divide both sides by 4

27.

In 2x-8=12,

our goal is to...

a)

get "x" by itself.

b)

add "x."

c)

divide by "x."

d)

evaluate.

28.

What property must you do to eliminate the parentheses in an equation?

a)

Distributive Property

b)

Multiplication Property

c)

Associative Property

d)

Commutative Property

29.

$3\left(3x-6\right)=18$

x = ?

(Just type the number)

(a)

30.

4 = 2(x + 3)

x = ?

(Just type the number)

(a)

31.

x = ?

(Just type the number)

(a)

32.

What is the first step in solving for the variable?

$4x\ +\ 6\ +\ 3=\ 17$

a)

Distributive property

b)

Combine Like Terms

c)

Move the variables to the same side

d)

Solve for the variable

33.

What is the first step in solving for the variable?

$3\left(3x\ -\ 7\right)\ =\ 24$

a)

Distributive property

b)

Combine Like Terms

c)

Move the variables to the same side

d)

Solve for the variable

34.

20 = 2 - a

a = ?

(Just type the number)

(a)

35.

Which is the correct step for the next row?

-3(b + 4) = -18

-3b - 12 = -18

?

a)

subtract 12 from both sides

b)

add 12 to both sides

c)

divide by -3 on both sides

d)

multiply by -3 on both sides

36.

Solve the equation.

-4 (8+5n) = 8

a)

n= -4

b)

n= 3

c)

n= -2

d)

n= 1

37.

Solve the equation.

6(3x-5) -7x=25

a)

x= 5

b)

x= 6

c)

x= -5

d)

x= -6

38.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

39.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

40.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

41.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

42.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

43.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

44.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

45.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

46.

No More Than

a)

<

b)

>

c)

≤

d)

≥

47.

At Least

a)

<

b)

>

c)

≤

d)

≥

48.

When graphing b ≤ 6 would you use an open or closed circle?

a)

Open

b)

closed

49.

You can spend no more than 20 dollars on your mom's birthday present.

a)

x > 20

b)

x < 20

c)

x ≤ 20

d)

x ≥ 20

50.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

51.

Identify the inequality that is represented by the following graph:

a)

a > 11

b)

a < 11

c)

a ≤ 11

d)

a ≥ 11

52.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

53.

Write an inequality:
Twenty-two more than four times a number is less than 82.

a)

22 + 4n ≤ 82

b)

22 + 4n > 82

c)

82 + 22n ≥ 4

d)

22 + 4n < 82

54.

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

a)

200+25w ≥ 500

b)

500-25w ≥ 200

c)

500+25w ≤ 200

d)

200-25w ≤ 500

55.

The admission fee to an arcade is $1.25 per person and it costs $.50 for each game played. Joey has $10 from his allowance to spend. Which inequality represents Joey getting the most out his $10 allowance.

a)

1.25+.50g ≤ 10

b)

1.25-.50g ≤ 10

c)

1.25+.50g ≥ 10

d)

1.25- .50g ≥ 10

56.

$-2\left(x+7\right)\le-8$

a)

$x\le3$

b)

$x\ge3$

c)

$x\ge-3$

d)

$x\le-3$

57.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

58.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

59.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

60.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

61.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes, because I'll be dividing by a negative number

b)

No, because you never flip the sign.

62.

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

a)

Add 8 to both sides of the inequality.

b)

Divide by negative four on both sides of the inequality.

c)

Subtract negative eight to both sides of the inequality.

d)

Subtract eight to both sides of the inequality.

63.

The inequality h ≥ 48 represents the minimum height necessary to ride a certain roller coaster. Who can ride this roller coaster?

a)

Sara only

b)

Anna only

c)

Anna and Sara

d)

Anna, Patrick and Miguel

64.

Joe can run 3 2/5 miles in 7/8 of an hour. What is his speed in miles per hour?

a)

3 9/13 mph

b)

119/40 mph

c)

3 31/35 mph

d)

35/136 mph

65.

A truck driver drove 120 miles in 1 3/4 hours. What is the speed of the truck in miles per hour?

a)

68 4/7 mph

b)

210 mph

c)

75 mph

d)

67 4/5 mph

66.

What is a unit rate?

a)

Two unlike things compared to each otehr

b)

How often something occurs

c)

A rate expressed as something per two

d)

A rate expressed as something per one

67.

Write the following mixed number as an improper fraction: 4 6/7

a)

31/34

b)

28/34

c)

34/46

d)

24/7

68.

Simplify the complex fraction shown.

a)

9/40

b)

40/9

c)

10/36

d)

5/18

69.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

70.

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

c)

They are the same

71.

Paige mows 1/6 of an acre in 1/4 hour. How many acres does Paige mow per hour?

a)

6/4

b)

2/3

c)

2

d)

3

72.

Find the unit rate.
Hannah reads 5/ 8 page in 2/3 minute

a)

15/16 pages per minute

b)

10/24 pages per minute

c)

5/8 pages per minute

d)

16/15 pages per minute

73.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

74.

Find missing side. If the scale factor is 1:3

a)

5

b)

7

c)

3

d)

11

75.

The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.

a)

165 miles

b)

50 miles

c)

82.5 miles

d)

41.25 miles

76.

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

a)

12 feet

b)

16 feet

c)

10 feet

d)

4 feet

77.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

78.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

79.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

80.

A map has a scale of 1 cm=5km. On the map, two cities are 3 cm apart. What is the actual distance between these cities?

a)

1.7 km

b)

5 km

c)

15 km

d)

17 km

81.

What does Congruent mean?

a)

When two things weight the same

b)

Same size same shape

82.

Solve the proportion.
____ = ____

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

83.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

84.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

85.

Solve the proportion.

a)

b = 509.53

b)

b = 508.56

c)

b = 508.55

d)

b = 509.12

86.

Solve the proportion.

a)

x = 248.77

b)

x = 247.88

c)

x = 256.84

d)

x = 247.55

87.

Are the two ratios proportional?

a)

YES

b)

NO

88.

Mary ran 2 miles in about 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?

a)

115

b)

125

c)

256

d)

58

89.

Bobby drove 110 miles and his car used up 5 gallons of gas. How many miles can he drive with 16 gallons of gas?

a)

305

b)

369

c)

524

d)

352

90.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

a)

15 pizzas

b)

252 sticks

c)

18 sticks

d)

18 pizzas

1st Semester REVIEW

Total questions: 90

Worksheet time: 7hrs 15mins

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