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Week 1 Instructional Set (Term 1 f26)

Total questions: 65

Worksheet time: 57mins

Name
Class
Date
1.

[Integer Operations: Combining Integers (Practice 1)]

-7 + 8 =

a)

-15

b)

15

c)

-1

d)

1

2.

6 + (-3) =

a)

3

b)

-3

c)

9

d)

-9

3.

14+(−5)=14+\left(-5\right)=  

(a)  

4.

−7+5=-7+5=  

(a)  

5.

−4−5=-4-5=  

(a)  

6.

Select the three expressions that have a negative value.

a)

−8−13-8-13

b)

13+(−8)13+\left(-8\right)

c)

8+(−13)8+\left(-13\right)

d)

−13+8-13+8

e)

−8+13-8+13

7.

[INTEGER OPERATIONS, cont'd: Multiply/Divide (Student Practice 1)]

-5 (4) =

a)

-20

b)

20

c)

-16

d)

16

8.

−6⋅7=-6\cdot7=  

a)

-42

b)

-36

c)

36

d)

42

9.

−33−11=\frac{-33}{-11}=  

a)

-33

b)

-3

c)

3

d)

33

10.

Which of the following expressions have a positive value?

Select the three correct answers.

a)

7(−3)7\left(-3\right)

b)

−4(−2)-4\left(-2\right)

c)

−205-\frac{20}{5}

d)

(−3)2\left(-3\right)^2

e)

7⋅57\cdot5

11.

[PEMDAS (Practice 2)]

(9 + 39) ÷ (11 - 5) = 

a)
17
b)
14
c)
9
d)
8
12.

11−3[7−4(−2)]=11−3[7−4(−2)]=

a)

120

b)

34

c)

-34

d)

14

13.

−8−14÷2+5 = -8-14\div2+5\ =\  

(a)  

14.

3[6−3(4−1)]=3\left[6-3\left(4-1\right)\right]=

a)

-9

b)

0

c)

-45

d)

27

15.

6×2−4÷4=26\times2-4\div4=2

Which of the following correctly places the brackets to make the above statement TRUE?

a)

[6×2]−4÷4=2\left[6\times2\right]-4\div4=2

b)

[6×2−4]÷4=2\left[6\times2-4\right]\div4=2

c)

6×[2−4÷4]=26\times\left[2-4\div4\right]=2

d)

6×[2−4]÷4=26\times\left[2-4\right]\div4=2

16.

(−3)2−24÷(8−2)=(−3)^2−24\div(8−2)=

a)

-13

b)

5

c)

-3

d)

-90

17.

A gardener planted 3 rows of flowers with 5 flowers in each row. The gardener then planted 2 additional flowers in each row. How many flowers did he plant in total?

a)

21

b)

24

c)

15

d)

18

18.

Emma has 7 packs of stickers. Each pack contains 6 stickers. If she gives away 5 stickers, how many does she have left?

a)

30

b)

37

c)

42

d)

25

19.

The temperature in Chicago was 15 degrees in the morning. The weather man forecasted that due to the upcoming winter storm it will drop by 20 degrees in the night. If the forecast is correct, what will be the new temperature in degrees at night time?

a)

5

b)

0

c)

-5

d)

35

20.

In the morning, the temperature in Anchorage, Alaska was 15 degrees. By mid-afternoon the temperature had dropped to 30 degrees below zero. What was the total change between the morning and afternoon temperatures in degrees?

a)

15

b)

45

c)

-45

d)

-15

21.

[EVALUATION (Practice 4)]

If a=3,a=3, then what is the value of 2(3a−2)?2(3a-2)?

a)
14
b)
8
c)
62
d)
231
22.

If p = -6, then -10(p + 4) =

a)

2

b)

20

c)

-2

d)

-20

23.

If a = 4, and b = 2, then -3a + 2b =

a)
-8
b)
8
c)
16
d)
-16
24.

If y=x2−5xIf\ y=x^2-5x ,
then what is the value of y when x=4?then\ what\ is\ the\ value\ of\ y\ when\ x=4?

a)
-4
b)
126
c)
24
d)
84
25.

When x = 2, what is the value of −x2+6x−3?-x^2+6x-3?

a)

-1

b)

7

c)

5

d)

13

26.

If x = 5 and y = -1 , what is the value of −5x−2 2y−1?\frac{-5x-2}{\ 2y-1}?

a)

−9-9

b)

99

c)

−72-\frac{7}{2}

d)

−233-\frac{23}{3}

27.

What is the value of 7a−3b−1\sqrt[]{7a−3b−1} , if a = 5 and b = 3?

a)

5

b)

15

c)

25

d)

35

28.

The cost in dollars to buy p pairs of pants and s shirts can be found using the expression 10p + 8s. What is the cost of buying 2 pairs of pants and 4 shirts?

a)

$52

b)

$18

c)

$20

d)

$56

29.

The area of a rectangle is given by A = lw, where l is the length and w is the width. If length is 20 units and width is 15 units, what is the area of the rectangle in square units?

a)

70

b)

200

c)

35

d)

300

30.

The area of a circle is given by A=πr2,A=\pi r^2, where r is the radius of the circle. If r = 3 meters, what is the area of the circle in square meters?

a)

3π3\pi

b)

6π6\pi

c)

9π9\pi

d)

99

31.

[SIMPLIFY EXPRESSIONS: Combine Like Terms, Distributive Property (Practice 4)]

The image shows a (n) _________________, consisting of one or more numbers, variables, and operations. You should be able to identify the terms, the variables, the coefficients, and the constant.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

32.

Which of the following is the coefficient in the shown expression?

a)

6

b)

f

c)

2

d)

6f

33.

6f2+9f26f^2+9f^2

The shown terms have the same variable and the same exponent, and therefore, their coefficients can be combined. Which of the following is the correct description for the shown terms?

a)

constant terms

b)

equations

c)

radical terms

d)

like terms

34.

9x2+14x−x2+6x9x^2+14x-x^2+6x is equivalent to which of the following?

a)

8x2+20x8x^2+20x

b)

9x2+20x9x^2+20x

c)

10x2+20x10x^2+20x

d)

8x2+8x8x^2+8x

35.

5x−6x−8x+7=5x-6x-8x+7=

a)

−9x+7-9x+7

b)

−9x−7-9x-7

c)

9x+79x+7

d)

9x−79x-7

36.
  • Which of the following is equivalent to −r−10r?-r-10r?

a)

11r11r

b)
  • −11r-11r

c)

9r9r

d)
  • −10-10

37.

2(4x−7) = 2(4x-7)\ =\

a)

8x - 14

b)

8x - 7

c)

6x + 7

d)

8x + 14

38.

-4(-4d - 5) =

a)
-16d+20
b)
16+20
c)
16d+20
d)

16d-20

39.

−(−2x+3)−x=−(−2x+3)−x=

a)

−x+3-x+3

b)

3x+33x+3

c)

x−3x-3

d)

−3x−3-3x-3

40.

(4a3−8a−4a2)+(7a3−7−6a)=\left(4a^3-8a-4a^2\right)+\left(7a^3-7-6a\right)=

a)

11a3−4a2−14a−711a^3-4a^2-14a-7

b)

5a3−4a2−14a−75a^3-4a^2-14a-7

c)

11a3−4a2+20a+711a^3-4a^2+20a+7

d)

3a3−9a2−20a−73a^3-9a^2-20a-7

41.

6(2a+5b)−3(a−8b)=6(2a+5b)-3(a-8b)=

a)

9a+54b9a+54b

b)

21ab21ab

c)

5a5a

d)

15a−6b15a-6b

42.

(4n4−8n+4)−(8n2+4n4+1)=(4n^4-8n+4)-(8n^2+4n^4+1)=

a)

−8n2−8n+3-8n^2-8n+3

b)

−4n2−8n+5-4n^2-8n+5

c)

−8n4−12n2−8n+3-8n^4-12n^2-8n+3

d)

−7n2−4n+5-7n^2-4n+5

43.

If p = -5, which of the following expression gives a positive answer?

a)

1p\frac{1}{p}

b)

−10p\frac{-10}{p}

c)

2p2p

d)

−p−10-p-10

44.

3(3t−12)=3\left(3t-12\right)=

a)

9t−369t-36

b)

3t−123t-12

c)

t−9t-9

d)

9t−99t-9

45.

Which expression is equivalent to 3x+2(−12x−16)?3x+2\left(-12x-16\right)?

a)

−21−32-21-32

b)

9x−149x-14

c)

−21x−32-21x-32

d)

5x−45x-4

46.

Which expression is equivalent to 10x + 10?

a)

5(2x + 1)

b)

10(x + 2)

c)

10(x + 1)

d)

5(x +2)

47.

Which of the following is equivalent to 10x2−15?10x^2-15?

Hint: Distribute the answers...

a)

10(2x2−3)10\left(2x^2-3\right)

b)

5(x2−3)5\left(x^2-3\right)

c)

5(2x2−3)5\left(2x^2-3\right)

d)

10(x2−3)10\left(x^2-3\right)

48.

[TRANSLATE WORDS TO ALGEBRA (Practice 7)]

Select the two correct translations:

a)

a number squared:  x2a\ number\ squared:\ \ x^2

b)

double a number: x2double\ a\ number:\ x^2

c)

twice a number:  2xtwice\ a\ number:\ \ 2x

d)

a number squared: 2xa\ number\ squared:\ 2x

49.

Which of the following does NOT show the correct translation of words to algebra?

a)

5 more than a number:

x + 5

b)

10 less than a number:

x - 10

c)

7 less than a number:

7 - x

d)

the sum of 3x and 5x:

3x + 5x

50.

Select the two correct translations:

a)

5 times a number squared:

5x25x^2

b)

5 times a number squared:

5x25x2

c)

the quotient of a 5 and a number squared:

5x2\frac{5}{x^2}

d)

the quotient of a 5 and a number squared:
 x25\frac{\ x^2}{5}

51.

Let Mike's age be m. If Jack's age is 9 more than five times Mike's age, which of the following expressions represents Jack's age?

a)

5(m+9)

b)

9(5+m)

c)

9m+5

d)

5m+9

52.

Danny has d dollars, and Jack has 9 dollars less than Danny does. Which of the following expressions represents how much money they have altogether?

a)

9 - d

b)

d - 9

c)

2d -9

d)

9 - 2d

53.

A meal costs $12.50 per person plus a delivery fee of $30.  Which expression represents the amount a meal costs, including delivery, for x people?

a)

30 + 12.5x 

b)

12.5 + 30

c)

12.5 + 30x

d)

12.5x

54.

The perimeter of a shape is the SUM of the lengths of ALL the sides.

Which expression represents the perimeter of this triangle in units?

a)
4x + 4y + 5
b)
6xy + 7
c)
6x + 2y + 5
d)
10xy + x + 2y
55.

What is the perimeter, in units, of this rectangle in terms of x?

a)
2x + 4
b)
x + 2 
c)
4x - 8 
d)
6x
56.

June has d dimes and q quarters in her purse. The number of dimes is three less than four times the number of quarters. Which expression gives the number of dimes in terms of q?

a)

3 - 4q

b)

4d - 3

c)

4q - 3

d)

3 - 4d

57.

The number of girls in a second grade class is 4 less than the number of boys. Let b represent the number of boys. Which of the following expressions gives the number of girls in terms of b?

a)

4 - b

b)

b - 4

c)

g - 4

d)

b + 4

58.

NUMBER BASICS (Make flashcards! Questions on front, answers on back of cards.)

Define "integers."​ (a)  

59.

How can you tell if a number is even?​ (a)  

If a number is not even, it is (b)  

60.

What are the four basic operations?​ (a)  

Which of the operations are inverse pairs?​ (b)  

61.

List the steps to simplify an expression:​ (a)   ​ (b)  

62.

Distributive Property:

Which of the following requires distribution to simplify? (Choose two.)

a)

2x + 3x

b)

(x + 4) (x - 3)

c)

6 (x +4)

d)

3x2

63.

Define "factor pair."​ (a)  

64.

List the first 5 multiples of 4, in order and separated by commas.​ (a)  

65.

A prime number has​ (a)