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MATH 2 ALGEBRA: EVALUATE, TRANSLATE AND SIMPLIFY LIKE TERMS

Total questions: 35

Worksheet time: 35mins

Name
Class
Date
1.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
2.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
3.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
4.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
5.

Evaluate when x = 2 and y = 5:

2 + (12 - 5x) ⋅ 2y

a)

22

b)

40

c)

142

d)

-86

6.
a2 - b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
7.
c2 + a; for a = 9 and c = 10
a)
109
b)
29
8.
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
9.

If c = 8, what is

48c\frac{48}{c}  ?

4 lines
10.

If x = 2 and y = 3, what is 5x + 2y?

4 lines
11.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
12.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
13.
Six divided by the product of -7 and b.
a)
6/b-7
b)
6/(-7b)
c)
-7b/6
d)
b-7/6
14.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

15.

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g + 57

c)

3g − 57

d)

57 + 3g

16.

The difference of a number and 7

a)

7 − x

b)

x + 7

c)

x/7

d)

x − 7

17.
w increased by 5
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
18.

the quotient of a number n and 4

a)

n ÷ 4

b)

n - 4

c)

n + 4

d)

4n

19.
the product of x and sixteen
a)
x + 16
b)
x - 16
c)
16x
d)
x/16
20.
Write a verbal expression for:
4q
a)
Four q
b)
Four times q
c)
Four plus q
21.

Simplify: n -10 +9n -3

a)

-3

b)

9n-3

c)

n

d)

10n -13

22.

Simplify: x + y + y + x+ y

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

23.

Simplify: -2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

24.

Simplify this expression....

a)

12x2

b)

12x4

c)

104x2

d)

20x2

25.

Simplify this expression....

a)

5y2

b)

6

c)

5

d)

6y

26.

How many terms are in this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

1

c)

4

d)

2

27.

What is the constant of this polynomial?

2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

28.

Simplify this polynomial:

3x2 - x + 2 - 5x2 + 8x - 5

a)

8x2 + 9x + 7

b)

-2x2 + 7x - 3

c)

2x2 + 7x - 3

d)

5x2 - 3

29.
Simplify the expression:
-2x2 - x + 1 - x2 + 3x - 5
a)
-2x2 + 2x - 6
b)
-3x2 + 2x - 4
c)
2x2 + 2x + 4
d)
-3x2 + 4x - 4
30.

Simplify the expression.

4a3 - 8a - 4a2 + 7a3 - 7 - 6a

a)

11a3 - 4a2 - 14a - 7

b)

5a3 - 4a2 - 14a - 7

c)

5a3 - 4a2 - 20a - 7

d)

5a3 - 9a2 - 20a - 7

31.
–4d8 – 3 + 5d4– 8d8 + 7
a)
4 + 5d4 - 12d8
b)
4 + 5d4 - 4d8
c)
4 - 5d4 - 12d8
32.
2c – 12c3 – 5c4 + 7c + 10c4
a)
9c – 12c3 + 5c4
b)
-9c – 12c3 + 5c4
c)
9c + 12c3 + 5c4
33.
9m3 + m + 2m2 – 3m3
a)
m + 2m2 - 6m3
b)
m + 2m2 + 11m3
c)
m + 2m2 + 6m3
34.
If a = 4 and b = 6, what is the value of 3a + 5b?
a)
40
b)
42
c)
44
d)
46
35.
Which of the following is the correct expansion of:
5(r - 2)?
a)
5r - 2
b)
5r +2
c)
5r + 10
d)
5r - 10

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