WorksheetsAlgebraic Expressions
Total questions: 55
Worksheet time: 13hrs 5mins
Name
Class
Date
1.
Identify the terms, coefficients, and constants of the expression. 3r2+4r+8
a)
Terms: 3r2, 4r, 8 Coefficient: 3, 4 Constant 8, 3
b)
Terms: 3r2, 4r, 8 Coefficient: r2 Constant: 8
c)
Terms: 3r2 Coefficient: 3, 4, r2 Constant: 8
d)
Terms: 3r2, 4r, 8 Coefficient: 3, 4 Constant: 8
2.
Identify the terms, coefficients, and constants of the expression. 6q+1
a)
Terms: 6q, 1 Coefficient: 6 Constant: 1
b)
Terms: 6 Coefficient: 1 Constant: q
c)
Terms: 6q Coefficients: 6, 1 Constant: 1
d)
Terms: 1 Coefficient: 6 Constant: 1, q
3.
How many terms are in the following expression?
2x+4y+8-2
2x+4y+8-2
a)
1
b)
2
c)
3
d)
4
4.
Identify the variables in the following expression: 4x + 2y - 6
a)
4, 2, -6
b)
-4 and x
c)
X and Y
d)
-6
5.
Simplify the following expression:
a - 8 - 10
a - 8 - 10
a)
2a - 18
b)
a - 18
c)
a - 2
d)
a + 18
6.
Simplify the following expression:
-10x + 15 - 3x + 2
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
7.
Simplify the following expression:
3 + 5x + 8 - 2x
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
8.
Simplify the following expression:
-8x + 4x
-8x + 4x
a)
-12x
b)
-4x
c)
4x
d)
12x
9.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
63x2
b)
-16x2
c)
-16x
d)
-15x
10.
Simplify the following expression:
19 - ( 3 - 5b)
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
11.
n -10 +9n -3
a)
-3
b)
9n-3
c)
n
d)
10n -13
12.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
13.
Simplify:
11x + 12y + 1y + 10x - 2
11x + 12y + 1y + 10x - 2
a)
13y + 21x - 2
b)
-13y + 21x - 2
c)
-1y - 2x
d)
13x + 21y - 2
14.
Simplify:
1y + 2x + 3y + 4x
a)
1y + 6x + 3y
b)
-4y + 6x
c)
4y + 6x
d)
4x + 6y
15.
Simplify:
10x + 6x + 9x + (-11y)
10x + 6x + 9x + (-11y)
a)
-1y + 15x
b)
-11y + 25x
c)
-11y - 15x
d)
-1y - 15x
16.
Simplify 6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
17.
Simplify 5(2 - 7n)
a)
52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
18.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
19.
Simplify the expression: 7+3(1 - 2x)
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
20.
-12n - (-13n)
a)
-25n
b)
25n
c)
n
d)
-n
21.
6w - 6w + 6w + 9w
a)
w
b)
15w
c)
9w
d)
6w
22.
−x2+2−1+6x2−4x2
a)
x 2 -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
23.
4a + 9 + a
a)
5a + 9
b)
14a
c)
3a + 9
d)
5a - 9
24.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
25.
w + w + w could be simplified as?
a)
3w
b)
3
c)
w
d)
0
26.
What is the simplified form of this expression
3x+4+5x+3
3x+4+5x+3
a)
15x
b)
8x+7
c)
7x+8
27.
Simplify:6b + 7b - 10
a)
3b
b)
13b - 10
c)
13b2 - 10
d)
3b2
28.
If b = 4 and c = 5, what is the value of bc + b - c?
a)
20
b)
16
c)
18
d)
19
29.
3x + 8 if x = 2
a)
13
b)
14
c)
15
d)
16
30.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
31.
Evaluate the expression for n = 2 and p = 7.
np =
np =
a)
9
b)
5
c)
15
d)
14
32.
Evaluate the expression for v = 3 and w = 3.
vw + w =
vw + w =
a)
14
b)
12
c)
6
d)
9
33.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
34.
Evaluate x ÷ 4 for x=48
a)
12
b)
44
c)
52
d)
192
35.
Evaluate n + 5² for n=3
a)
13
b)
8
c)
25
d)
28
36.
b2 + 4
when b = 3
when b = 3
a)
10
b)
12
c)
13
d)
11
37.
Evaluate when a = 15:
2(a - 5) + 2
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
38.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
39.
a2 - b2
Evaluate if a=4 and b =2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
40.
Evaluate the expression for the given values. 5x - 3y + 2z
a)
17
b)
19
c)
13
d)
29
41.
Evaluate the expression for the given values. 5xy - z2
a)
14
b)
-46
c)
-14
d)
46
42.
Evaluate the expression for the given values.
x3 + 5y2 - yz
a)
37
b)
15
c)
39
d)
55
43.
Find the Sum:
(5 - t) + (3t +2)
(5 - t) + (3t +2)
a)
2t + 7
b)
2t + 3
c)
-2t + 3
d)
-2t + 7
44.
Find the difference:
(8 - u) - (5u + 1)
(8 - u) - (5u + 1)
a)
6u + 7
b)
-4u + 7
c)
-6u + 7
d)
4u - 7
45.
Find the sum:
(7k + 9) + (4k - 3)
(7k + 9) + (4k - 3)
a)
3k + 6
b)
11k + 6
c)
-11k + 6
d)
- 3k + 6
46.
Find the difference:
2(x - 2) - 3(x - 4)
2(x - 2) - 3(x - 4)
a)
-x - 8
b)
x + 8
c)
5x + 8
d)
-x + 8
47.
Find the difference:
(2x + 7) - 3(5x - 4)
(2x + 7) - 3(5x - 4)
a)
-13x - 5
b)
17x + 5
c)
17x + 5
d)
-13x + 19
48.
Find the sum:
2(x + 3) + 3(3x - 2)
2(x + 3) + 3(3x - 2)
a)
11x
b)
11x - 12
c)
11x + 12
d)
0
49.
(3x + 5) + (2x + 1)
a)
5x + 5
b)
5x + 6
c)
x + 4
d)
6x + 5
50.
Add these expressions
(3x+15) + (4x+13)
(3x+15) + (4x+13)
a)
7x+ 28
b)
35x
c)
x+2
d)
7x - 2
51.
The expression (8x + 4) inches represents the perimeter of a rectangle whose width is (3x − 4) inches. Find the length of the rectangle if x = 2.
a)
7 in.
b)
9 in.
c)
8 in.
d)
10 in.
52.
Write and simplify an expression to represent the perimeter of the triangle shown.
a)
(4x + 3) ft
b)
(6x + 5) ft
c)
(5x - 3) ft
d)
(6x + 3) ft
53.
Simplify (5x + 3) - (2x - 5)
a)
3x + 8
b)
3x - 2
c)
7x + 8
d)
7x - 2
54.
Find the difference:
(x - 3) - 2(0.5x - 2)
(x - 3) - 2(0.5x - 2)
a)
-1
b)
2x - 1
c)
2x + 1
d)
1
55.
2(x - 2) - 3(x - 4)
a)
-x - 8
b)
x + 8
c)
5x + 8
d)
-x + 8
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