WorksheetsAlgebra Practice 1
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
You have 12 coins (dimes and quarters). Their value is $2.25. Write the system of equations that can represent this situation.
a)
x - y = 12
.10x + .25y = 2.25
.10x + .25y = 2.25
b)
10x + 25y = 2.25
x + y = 12
x + y = 12
c)
x + y = 2.25
x + y = 12
x + y = 12
d)
x + y = 12
.10x + .25y = 2.25
.10x + .25y = 2.25
2.
You have four times as many pencils as your tablemate. If you have p pencils, how many does your tablemate have?
a)
4p
b)
p + 4
c)
p ÷ 4
d)
p - 4
3.
Sue is three times older than Mark. Jack is 4 years older than Mark. Their total age is 54. How old is Mark?
a)
10
b)
14
c)
30
d)
24
4.
Your cell phone costs a fixed $40 per month and an additional $3 per minute. Write an expression to represent your total cell phone bill if you have used m minutes.
a)
40 + m + 3
b)
40m + 3
c)
40 + 3m
d)
3m - 40
5.
Simplify a3(ab2)-2
a)
a3a-2b-4
b)
a/b4
c)
a4b0
d)
a4b-4
6.
Simplify (x+3)/4 + (4x - 5)/7
Hint: Think Common Denominator (and Distributive Property)
Hint: Think Common Denominator (and Distributive Property)
a)
(23x + 1)/28
b)
(5x - 2)/11
c)
(19x + 1)
d)
(23x + 41)/28
7.
If x2 + y2 = 3 and xy = -5 what is the value of (x-y)2?
Hint: First expand (x-y)2 by using FOIL. Then rearrange and substitute.
Hint: First expand (x-y)2 by using FOIL. Then rearrange and substitute.
a)
-4
b)
13
c)
-2
d)
-7
8.
Simplify (x2/y) ÷ (x/y3)
a)
x3/y4
b)
xy/x2y3
c)
x2/y3
d)
xy2
9.
Simplify (4x3 + 12x2 + 8x) ÷ (2x + 4)
Hint: Use FOIL with (2x + 4) and your answer choices.
Hint: Use FOIL with (2x + 4) and your answer choices.
a)
(2x - 2)
b)
(2x2 + 2)
c)
(2x2 + 2x)
d)
(2x2 - 2x)
10.
Solve the equation (x-4)/3 - x/4 = 3.
Hint: Find a common denominator and zoom in on the top.
Hint: Find a common denominator and zoom in on the top.
a)
19
b)
20
c)
52
d)
54
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