Free Printable Semester 1 Review Math 7

1.

Which situation best describes a Zero Pair?

a)

You lost $5 then you spent $6.

b)

You had 2 dogs and then you got 2 more dogs.

c)

You had 4 apples and then you ate 4 apples.

d)

You owed $7 then you found a ten dollar bill.

2.

What is the best definition of a Zero Pair?

a)

Subtract a number and it's "opposite" to 0.

b)

A pair of zeros.

c)

A number and it's "opposite" add up to make 0.

d)

Two numbers

3.

Which of the following situations would have a balance of 0?

a)

I withdrew $30 from my checking account, then deposited $30 into my account.

b)

Kaleb lost 10 yards on a football play, then gained back 5 yards on the next play.

c)

At the beginning of the day, Aaron drank 1/2 quart of water. At the end of the day, he was left with 1/4 quart of water in the bottle.

d)

A submarine was traveling 150 feet below sea level, then increased its depth by 50 feet.

4.

In which scenario is the total change zero?

a)

Chris gave Cesar 6 bananas. Chris then took back all 6 bananas because Cesar made him mad.

b)

Bear ran up 4 front steps, then back down 4 steps because he saw a treat on the ground

c)

Jason road his bike 2 miles from home, realized he remembered his wallet, then biked to more 2 miles.

d)

I filled my glass of milk 1.5 cups then drank 1.5 cups... it was real good...

5.

Which are the correct steps for rewriting a subtraction problem into addition?

a)

1) Keep first number the same
2) Keep Subtraction sign
3) Change second number to opposite

b)

1) Keep first number the same
2) Change Subtraction into Addition
3) Change second number to opposite

c)

1) Change the first number into the opposite
2) Change Subtraction to Addition
3) Keep second number the same

d)

1) Change the first number into the opposite
2) Change Subtraction to Addition
3) Change second number to opposite

6.

Which of the answers show the subtraction problem correctly rewritten as an addition problem?
−8 − 5

a)

8 + 5

b)

8 + (−5)

c)

−8 + 5

d)

−8 + (−5)

7.

Which of the answers show the subtraction problem correctly rewritten as an addition problem?
7 − 12

a)

7 + 12

b)

7 + (−12)

c)

−7 + 12

d)

−7 + (−12)

8.

Which of the following is equivalent to -3-5?

a)

-3 + 5

b)

-3 + -5

c)

3 + 5

d)

3 + -5

9.

Which of the following is equivalent to 12 - 13?

a)

-12 + 13

b)

12 + 13

c)

12 + -13

d)

-12 + -13

10.

Which of the following is equivalent to 10 - 3?

a)

10 + -3

b)

10 + 3

c)

-10 + -3

d)

-10 + 3

11.

#30) The water level is Mr. Jacob's pond was -4 feet. After a drought, the water level dropped by 13 feet. What is the water level after the drought?

a)

-17 ft

b)

17 ft

c)

9 ft

d)

-9 ft

12.

#34) Pete is on the 23rd floor of a hotel. His car is parked 6 floors underground in the parking garage. What is the difference between Pete and his car?

a)

29 floors

b)

-29 floors

c)

17 floors

d)

-17 floors

13.

#38) The distance between a skier on the top of a mountain and the end of the ski course is 2,395 ft. If the end of the course is 642 ft below sea level, what is the distance between the skier and the end of the course?

(from Ms. Goosz - yes, this problem is poorly written but can you make sense of the question?)

a)

3,037 ft

b)

-3,037 ft

c)

1,753 ft

d)

-1,753 ft

14.

#40) The golfer who won the Masters Tournament had final scores of -4, -5, -1 and 4. What was his final score?

a)

-6

b)

-9

c)

-14

d)

6

e)

14

15.

#48) Ben and Sam are diving in a lake. At 14 feet below the surface, Ben spots Sam 9 feet directly below him. Find Sam's depth.

a)

23 feet below

b)

23 feet above

c)

5 feet above

d)

5 feet below

16.

(-2)²

a)

-4

b)

-2

c)

4

d)

-2

17.

(-6)²

a)

12

b)

-36

c)

36

d)

8

18.

(-5)²

a)

25

b)

-25

c)

10

d)

-10

19.

(-4)²

a)

-8

b)

8

c)

-16

d)

16

20.

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

21.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

22.

I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?

a)

$0.40

b)

$9.00

c)

$2.50

d)

$0.90

23.

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

24.

There are 75 pieces of candy in a 15 oz bag.

How many pieces are there per ounce?

a)

5 pieces

b)

0.2 pieces

c)

50 pieces

d)

60 pieces

25.

Jack jumps 40 times per 4 minutes. How many times does he jump per 1 minute?

a)

5

b)

10

c)

40

d)

36

26.

Is the fraction 1/12 a repeating or terminating decimal?

a)

Repeating

b)

Terminating

27.

Is the fraction 9/12 a repeating or terminating decimal?

a)

Repeating

b)

Terminating

28.

The decimal expansion of

\frac{2}{5}

is

a)

.4 and it terminates

b)

.4 and it repeats

c)

2.5 and it terminates

d)

2.5 and it repeats

29.

What is the decimal form of 13/20?

a)

.65

b)

1.534

c)

.6555555

d)

$.6\overline{5}$

30.

a)

4 2/3

b)

3 4/5

c)

5 2/7

d)

5 1/6

31.

Savannah's backpack weighs $6\ \frac{1}{4}$ pounds. Alberto's backpack weighs $5\ \frac{3}{4}$ pounds. How much heavier is Savannah's backpack than Alberto's backpack?

a)

$1\ \frac{1}{2}$

b)

$11\ \frac{3}{4}$

c)

$\frac{1}{2}$

d)

$1\ \frac{2}{4}$

32.

$6\ \frac{7}{8}+4\ \frac{3}{4}+8\ \frac{1}{2}$ What is the value of this expression?

a)

$20\ \frac{1}{8}$

b)

$19\ \frac{3}{8}$

c)

$18\ \frac{11}{14}$

d)

$18\ \frac{1}{2}$

33.

Add the mixed numbers: $4\frac{3}{12} + 3\frac{1}{3} =$

a)

$7\frac{7}{12}$

b)

8 $\frac{1}{12}$

c)

$7\frac{1}{4}$

d)

$8\frac{1}{4}$

34.

Multiply and simplify: $\frac{2}{3}\times\frac{5}{7}=$

(a)

35.

Find the product.
Simplify to a mixed number.

a)

$4\ \frac{3}{4}$

b)

$\frac{19}{4}$

c)

$\frac{39}{8}$

d)

$4\ \frac{7}{8}$

36.

$\frac{\frac{4}{15}}{\frac{2}{5}}$

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$\frac{8}{75}$

d)

$\frac{75}{8}$

37.

a)

-1/2

b)

1/2

c)

2

d)

-2

38.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

39.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

40.

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

a)

$.50 per pound

b)

$1.25 per pound

c)

$3 per pound

d)

$2.50 per pound

41.

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

a)

408 words per minute

b)

100 words per minute

c)

400 words per minute

d)

102 words per minute

42.

Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?

a)

2 acres per hour

b)

1/2 acres per hour

c)

9/24 acres per hour

43.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

44.

It snowed 14 inches in 5 hours. What is the unit rate?

a)

3 inches per hour

b)

1.5 inches per hour

c)

5 inches per hour

d)

2.8 inches per hour

45.

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

46.

W - 10 + 9W - 3

a)

10W + 7

b)

9W - 5

c)

9W + 13

d)

10W - 13

47.

Simplify and combine like terms: -6k +7k

a)

k

b)

-k

c)

13k

d)

-13k

48.

$-7x\ -3x\ +7y\ +3y$

a)

$10x+10y$

b)

$10x-10y$

c)

$-10x+10y$

d)

$-10x-10y$

49.

7a - 4a + 10

a)

21a

b)

11a + 10

c)

13a

d)

3a + 10

e)

10a - 3

50.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

51.

Which of these is the correct use of the distributive property for the following expression?
5(2x - 8)

a)

10x - 8

b)

10x + 40

c)

7x - 3

d)

10x - 40

52.

Simplify the following expression by combining like terms:
3(2x - 4) + 6x - 1

a)

12x - 13

b)

12x - 5

c)

11x - 2

d)

-x

53.

Choose an expression equal to: 6(-8y + 2)

a)

48y + 12

b)

-48y - 12

c)

-48y + 12

d)

-48y - 12

e)

None of these

54.

Choose an expression equal to: -4(2m - n)

a)

-8m + 4n

b)

8m - 4n

c)

8m + 4n

d)

-8m - 4n

e)

None of these

55.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

56.

What is the simplified version of this expression? $9\left(-5x+8\right)$

a)

$45x-72$

b)

$45x+72$

c)

$-45x-72$

d)

$-45x+72$

57.

Factor 8x-10

a)

2(4x-5)

b)

6(2x-4)

c)

2(4x+5)

d)

8(x+5)

58.

Factor 3x+27

a)

3(x+3)

b)

9(3x+9)

c)

3(x-3)

d)

3(x+9)

59.

Factor 10x+30

a)

10(x+3)

b)

2(5x+15)

c)

5(2x+6)

d)

10(10x+3)

60.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

61.

Solve the equation. Check your solution.

a)

24

b)

¹⁴⁷/₈ or 18³/₈

c)

168

d)

-24

62.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x=8

d)

x= -12

63.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

64.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

10x = 18

b)

4x + 6 = 18

c)

4 + 6x = 18

d)

not enough info

65.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents the number of tickets (t) that can be purchased if Penelope plans to spend $35.

a)

.50t + 20 = 35

b)

.50t = 35

c)

.50 + 20t = 35

d)

.50t +35 = 20

66.

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

67.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

a)

h = 2(9) + 15

b)

33 = 15h + 2

c)

h = 15(9) + 2

d)

33 = 2h + 15

68.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

69.

Which number line shows the solution set to the inequality below?

x - 3 > -3

a)

A

b)

B

c)

C

d)

D

70.

y + 7 ≥ 12

a)

y ≥ 5

b)

y ≤ 5

c)

y ≥ 19

d)

y ≤ 19

71.

Solve
8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

72.

$-4x>52$

a)

$x>-13$

b)

$x<-13$

c)

$x<13$

d)

$x>13$

73.

$-5t<40$

a)

$t<-8$

b)

$t>8$

c)

$t>-8$

d)

$t<8$

74.

You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. Write an inequality to show how many levels you can play. DO NOT SOLVE

a)

5x-7 ≥ 60

b)

7x+5 ≤ 60

c)

7+5 ≤ 60x

d)

7x-5 ≥ 60

75.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

a)

75x-10 ≥ 300

b)

75+10 ≤ 300x

c)

10x ≥ 300

d)

75+10x ≤ 300

76.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

77.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

78.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

79.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

a)

200 + 25x ≥ 500

b)

500 + 25x ≥ 200

c)

500 - 25x ≥ 200

d)

500 - 25x ≤ 200

Semester 1 Review Math 7

Total questions: 79

Worksheet time: 5hrs 38mins

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