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LT 1-2 Review: Evaluating and Simplifying Expressions

Total questions: 106

Worksheet time: 25hrs 41mins

Name
Class
Date
1.
8 + 2 ⋅ 7
a)
22
b)
70
c)
20
d)
42
2.
8 ÷ 8 + 6 × 2
a)
8
b)
13
c)
14
d)
23
3.
6 + (4)3
a)
18
b)
30
c)
13
d)
42
4.

4 x 6 -2 =

a)

20

b)

24

c)

22

d)

18

5.

6(8) =

a)

40

b)

42

c)

49

d)

48

6.

3(4+2+1) =

a)

10

b)

20

c)

21

d)

7

7.

Three squared is:

a)

3 x 3 = 9

b)

3 x 2 = 6

c)

3 + 3 = 6

d)

3 + 2 = 5

8.

5x(6-3)

a)

19

b)

27

c)

15

d)

23

9.
2 + (9- 4)
a)
16
b)
77
c)
79
10.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
11.

Solve: (2×10)+4

a)

20

b)

26

c)

7

d)

24

12.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

13.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
14.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
15.

Which operation should you perform first in the expression 

4×634\times6-3  

a)

addition

b)

multiplication

c)

subtraction

d)

division

16.

Which operation should you perform first in the expression

4+33÷5-4+3^3\div5  

a)

exponent

b)

division

c)

addition

d)

subtraction

17.

What is the value of the expression

14+2×014+2\times0  

a)

0

b)

40

c)

14

d)

9

18.

Who is correct?

Sallie

16÷2×8=6416\div2\times8=64  

Brian

16÷2×8=116\div2\times8=1  

a)

Sallie

b)

Brian

c)

I'm not sure

d)

Both

19.

When multiplying and dividing (for example, 4 x 5 / 2), how do you know which step to do first?

a)

Always multiply

b)

Always divide

c)

Whichever comes first reading left to right

d)

Whatever I feel like doing first

20.
What is the value of x + y if x = 3 and y = 5?
a)
8
b)
5
c)
3
d)
2
21.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
22.
4y – 5
y = 6
a)
12
b)
13
c)
19
d)
34
23.
r(r – 9)
r = 11
a)
12
b)
22
c)
44
d)
99
24.
5(v + 1)
v = 4
a)
26
b)
12
c)
11
d)
25
25.
3u + 12
u = 7
a)
33
b)
34
c)
35
d)
23
26.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
27.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

28.

Evaluate each expression if x = 14 and y = 6


(x + y) ÷ 2 = _______

a)

10

b)

20

c)

22

d)

40

29.
Evaluate the following expression:
-3x2 - 5x + 7 when x = -2
a)
5
b)
10
c)
12
d)
7
30.
Evaluate the following expression:
25x(x - 4) when x = -1
a)
100
b)
115
c)
125
d)
130
31.
Evaluate the following expression:
x2 + 5 - x when x = 5
a)
25
b)
33
c)
20
d)
35
32.
a- b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
33.
The expression 7h + 1.50d can be used to find the total earnings after h hours and d deliveries have been made.  How much will Sally make after working 10 hours and making 3 deliveries?
a)
$74.50
b)
$36
34.

9x + 8x

a)

72x

b)

1x

c)

17x

d)

-1x

35.

x + 1 + 3x

a)

3x + 1

b)

4x + 1

c)

3x + 4

d)

5x + 3

36.

1 - 3x - 1

a)

-3x

b)

2 - 3x

c)

3x

d)

3x - 2

37.

4x - 3 + 2 - 2x

a)

6x + 5

b)

2x + 1

c)

2x - 1

d)

6x - 1

38.

8(8 + 4x) + 6

a)

64 + 38x

b)

70 + 32x

c)

32x + 38

d)

70 + 38x

39.

-9 + 4(4x + 9)

a)

32x + 16

b)

27 + 16x

c)

16x

d)

16x + 18

40.

2 - 10y + 2y

a)

2 - 8y

b)

-8y + 2

c)

2 - 12y

d)

10y

41.

-4r - 10(1 + 3r)

a)

-34r + 10

b)

-26r + 10

c)

26r - 10

d)

-34r - 10

42.

6t - 8t + 5

a)

-14t + 5

b)

-2t + 5

c)

2t + 5

d)

14t - 5

43.

-10(s + 5) - 4s

a)

-14s + 5

b)

-6s -50

c)

-6s + 5

d)

-14s - 50

44.

-9w + 7 - 4w - 16

a)

-13w -9

b)

5w -23

c)

-13w - 23

d)

-5w - 9

45.

-2m - 5(2 + 7m)

a)

-37m - 10

b)

33m -10

c)

33m + 10

d)

-37m - 5

46.

-8y + 4y - 11

a)

-12y - 11

b)

4y -11

c)

-4y - 11

d)

12y - 11

47.

11t - 5 + 6 - 14t

a)

25t + 11

b)

-25t + 1

c)

3t - 11

d)

-3t + 1

48.
In the expression  x - 53 - 4x - w + 6x + 8  , -4x is a 
a)
Term
b)
Variable
c)
Coefficient
d)
Constant
49.
In the expression  x - 53 - 4x - w + 6x + 8  , list the terms.
a)
-53, 8
b)
6
c)
x, -53, -4x, -w, 6x, 8
d)
-4, 6
50.
In the expression  x - 53 - 4x - w + 6x + 8  , combine all like terms & write the simplified expression.
a)
2x - w - 45
b)
3x - w - 45
c)
-41xw
d)
-41
51.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
52.
How many terms are in the expression
3a + 2b + c + 100
a)
3
b)
4
c)
5
d)
6
53.
In the expression  x - 53 - 4x - w + 6x + 8  , the variables are
a)
x, w, 8
b)
-53, 8
c)
x, w
d)
x, -4x, 6x, -w
54.
In the expression  x - 53 - 4x - w + 6x + 8  , list the terms.
a)
-53, 8
b)
6
c)
x, -53, -4x, -w, 6x, 8
d)
-4, 6
55.
Rewrite the expression by combining like terms.
5x2 + 5y + 2x2 + 4y2 – 4x2 + 2y2 - 4y
a)
3x2 + 3xy + 6y
b)
6y2 + 2xy + 2x
c)
7x2 + 35x
d)
3x2 + 6y2 + y
56.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
57.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
58.
Write an algebraic expression to represent the perimeter of the rectangle.
a)
2w - 3x + 9 + 6w - 2x - 10
b)
2w - 3x + 9 + 6w - 2x - 10 + 2w - 3x + 9 + 6w - 2x - 10
c)
2w - 3x + 9
d)
 6w - 2x - 10
59.
10x2+9x-5+3x2-8x-7
a)
13x2+17x+12
b)
14x2-12
c)
13x2+x-12
d)
2x2
60.

Use Distributive Property to solve: -2(x+y)

a)

-2x - 2y

b)

2x - 2y

c)

-2x + 2y

d)

-2x2y

61.

Combine like terms: 2 +5v + 3x t +12\ +5v\ +\ 3x\ -t\ +1  

a)

5v + 3x - t +3

b)

11vxt

c)

-11vxt

d)

1 + 5v + 3x - t

62.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

63.

Expand and simplify 3(2z + 1) - 2(5 + z).

a)

4z - 7

b)

7z - 7

c)

8z - 7

d)

4z + 13

64.

Expand and simplify 3(c - 2d) - 2(2c - 3d).

a)

-c

b)

c

c)

-c - 12d

d)

-c + 12d

65.

Distribute and simplify

a)

13x - 8

b)

13x + 8

c)

19x + 26

d)

13x + 26

66.
5x(2x + 3)
a)
10x+ 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
67.

(4x2+ x) - (x2+ 2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

68.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
69.
Which of the following is equivalent to    3h +7(2 + 4h)?
a)
90h
b)
7h + 20
c)
50h
d)
31h +14
70.

Simplify to standard form:

7r3r+2107r-3r+2-10  

(a)  

71.

Simplify to standard form:

3t+57t+23t+5-7t+2  

(a)  

72.

Simplify to standard form:

3x2x2+5x4x+9103x^2-x^2+5x-4x+9-10  

a)

2x2+x12x^2+x-1  

b)

2x2x+12x^2-x+1  

c)

2x2+x+1-2x^2+x+1  

d)

2x2x12x^2-x-1  

73.

Simplify to standard form:

7n2+3n2+3n23n57n^2+3n-2+3n^2-3n-5  

a)

10n2710n^2-7  

b)

10n26n710n^2-6n-7  

c)

10n26n+710n^2-6n+7  

d)

3n23n^2  

74.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
75.
7a(3b - 2c + 4)
a)
10ab + 5ac + 11a
b)
10ab + 5ac + 28a
c)
21ab + 14ac + 28a
d)
21ab - 14ac + 28a
76.

Distribute and simplify

a)

15x + 135

b)

15x + 9

c)

39x + 9

d)

39x + 135

77.
What does it mean to distribute?
a)
To multiply the numbers inside the parentheses by the number on the outside.
b)
To add all of the numbers together.
c)
To do the order of operations.
78.

Simplify the expression by using the Distributive Property:


-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

79.

Simplify the expression by using the Distributive Property:


-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

80.

Simplify the expression by using the Distributive Property:


6(x + 3y)

a)

6 + 18y

b)

6x + 18

c)

24xy

d)

6x + 18y

81.

Simplify the expression below:

-4(-6x + 10)

a)

-24x + -40

b)

24x + 40

c)

24x + -40

d)

-24x + 40

82.

Simplify the expression. Pick the answer in the simplest form.  310(x2 + 12)-\frac{3}{10}\left(-x^2\ +\ 12\right)  

a)

310x2 + 1512\frac{3}{10}x^2\ +\ \frac{15}{12}  

b)

310x2+ 3610\frac{3}{10}x^2+\ \frac{36}{10}  

c)

310x2  185\frac{3}{10}x^2\ -\ \frac{18}{5}  

d)

310x2 + 35\frac{3}{10}x^2\ +\ \frac{3}{5}  

83.

Simplify the expression. Pick the answer in the simplest form.

 74 (4b + 12)-\ \frac{7}{4\ }\left(4b\ +\ \frac{1}{2}\right)  

a)

2816b  1 18\frac{28}{16}b\ -\ 1\ \frac{1}{8}  

b)

7b  1 187b\ -\ 1\ \frac{1}{8}  

c)

7b  78-7b\ -\ \frac{7}{8}  

d)

2b  86-2b\ -\ \frac{8}{6}  

84.

Simplify the expression below:

0.50(68q216q+72)0.50\left(68q^2-16q+72\right)  

a)

34q28q+3634q^2-8q+36  

b)

1156q28q+361156q^2-8q+36  

c)

2312q28q+362312q^2-8q+36  

d)

42q2+3642q^2+36  

85.

Simplify: 7y2 5y + 9y  5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

86.

Simplify the expression:

-x2+7x-10+4x2-6x+8

a)
4x2+13x+18
b)
3x2-x+2
c)
3x2+x-2
d)
6x2-2x-2
87.

Simplify the expression: 10[23x]x+510-\left[2-3x\right]-x+5  

Hint: If this helps, treat the brackets like parentheses!

a)

2x+132x+13  

b)

7x+137x+13  

c)

31x+25-31x+25  

d)

2x+50-2x+50  

88.

Simplify the expression: 2(105h2)+6(h21)-2\left(10-5h^2\right)+6\left(h^2-1\right)  

a)

16h21416h^2-14  

b)

16h22616h^2-26  

c)

h226-h^2-26  

d)

16h21616h^2-16  

89.

3+5

a)

8

b)

7

c)

6

d)

5

90.

5+1

a)

6

b)

3

c)

2

d)

8

91.

8+2

a)

11

b)

4

c)

10

d)

6

92.

6+3

a)

12

b)

9

c)

7

d)

0

93.

2+9

a)

11

b)

4

c)

6

d)

600

94.

Noah has 5 markers. He found 3 more in his desk. His mother gave him 12 more. How many markers does Noah have?

a)

8

b)

10

c)

15

d)

20

95.

Elias has 14 Hoppy Cards. London has 4 fewer Hoppy Cards. How many Hoppy Cards does London have?

a)

10

b)

18

c)

0

d)

4

96.

Graham had 10 cookies. He gave 2 to Dawson. Then he gave 3 to Zuri. How many cookies does Graham have now?

a)

None - Mrs. Campbell ate them all!

b)

8

c)

5

d)

7

97.

Caleigha found 62 on the Hundreds Chart. She said that by moving down 1 row, she would land on 72. Is she correct?

a)

No

b)

Yes

98.

Mrs. Campbell looked at the clock and thought it was 6:00. Adjoa told her she was incorrect because it is actually 12:30. Who is correct?

a)

Mrs. Campbell

b)

Adjoa

99.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

100.

f(x) = x-5 find f(9)

a)

4

b)

14

c)

9

d)

13

101.

If f(x) = -4x - 5

what is f(1)?

a)

9

b)

-7

c)

-9

d)

-10

102.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

103.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

104.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

105.

Evaluate f(-2) if f(x) = -1/2x + 3

a)

2

b)

-2

c)

4

d)

-1

106.

Function notation

If f(t) = t2 - t,find f(-8)

a)

-72

b)

-56

c)

56

d)

72