MATHCP Algebra I
-
Unit 03: Integers and Equations
Comparing Integers
1) Select the correct missing symbol.
A) <
B) >
C) =
2) Fill in the missing symbol.
A) <
B) >
C) =
3) Fill in the missing symbol.
A) <
B) >
C) =
4) Fill in the missing symbol.
A) <
B) >
C) =
5) Fill in the missing symbol.
A) <
B) >
C) =
6) Fill in the missing symbol.
A) <
B) >
C) =
Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click
here
to view the practice worksheet.
Adding and Subtracting Integers
For the next ten problems, simplify each expression.
7) Find the sum: 18 + (–5)
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8) Find the difference: –23 + (–43)
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9) Find the difference: –13 – 4
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10) 31 – (–6)
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11) Simplify: 47 + 32 + (–16)
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12) Find the difference: –28 – 35
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click
here
to view the practice worksheet.
Multiplying and Dividing Integers
13) Find the product: (–7)(–2)
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14) Find the quotient:
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15) Find the quotient:
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16) Find the product: 11(–4)(7)
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click
here
to view the practice worksheet.
Real Number Properties of Equality
17) Which property of equality is applied in the second step?
A) Division Property of Equality
B) Symmetric Property of Equality
C) Subtraction Property of Equality
D) Reflexive Property of Equality
18) Which property of equality can be used to solve the equation?
A) Division Property of Equality
B) Symmetric Property of Equality
C) Subtraction Property of Equality
D) Reflexive Property of Equality
Solving Basic Equations
19) Solve for
x
: 8
x
+ 4 = 68
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20) Solve for
x
: –7
x
– 24 = –129
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21) Solve for
x
: 5(3
x
– 2) = 35
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22) Solve for
y
: 3(2
y
– 3) = 27
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Literal Equations / Formulas
23) Solve the literal equation
ax
+
b
=
c
for the variable
x
?
A) Choice A
B) Choice B
C) Choice C
D) Choice D
24) For the formula given below, solve the literal equation for
F
, and then use this formula to convert 25 degrees Celsius to Fahrenheit.
A) Choice A
B) Choice B
C) Choice C
D) Choice D
Solving Equations with Variables on Both Sides
25) Solve for
x
: 5
x
– 2 = 6 +
x
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26) Solve 10 – 3
x
= 2
x
– 8
x
+ 40 for
x
and construct a viable argument to justify each step of the solution.
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27) Solve the equation for
y
: 9(
y
+ 2) = 3(
y
– 2)
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28) Solve the equation for
x
: 2(
x
+ 1) = 3
x
– 3
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29) Solve the equation for
m
: 2(8
m
– 7) = 2(3 + 4
m
)
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30) Solve the equation for
y
:
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31) Bob is going to have his house painted. Henry’s Painting LLC charges $250 plus $14 per hour. Crewtop’s Creations charges $22 per hour with no additional charges. Which equation can be used to determine the number of hours when both offers are equal?
A) 250x + 14 = 250 + 22x
B) 250 + 14x = 22x
C) 14(x + 250) = 22x
D) not enough information given
32) For the previous problem, what is the least number of hours needed for the job to make Henry's offer the better deal? State the answer as a whole number.
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click
here
to view the practice worksheet.
More Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click
here
to view the practice worksheet.
33) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form.
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