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Foundations of Algebra
Foundations of Algebra
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Basics of algebra: integer operations, real number properties, factoring, solving equations
Flashcards
15 cards
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Questions
15
Answers
1
Using properties to combine like terms, fill in the blank below to make the equation true.
4
-2b
4b
2b
2
A phone plan costs $100, then $20 per month. Which equation represents the cost for
m
months.
C = 120
C = 100m + 20m
C = 100m + 20
C = 20m + 100
3
Solve the equation: 2(4
x
+ 4) = -16
x = 1
x = -1
x = 3
x = -3
4
Rearrange the slope-intercept formula to solve for x. The formula is:
y = mx + b
x = y - b - m
x = b - my
x = (y - m) / b
x = (y - b) / m
5
Solve the equation for
h
, the height of a cylinder:
V =
π
r
2
h
h = V / πr 2
h = V π/r 2
h = V - πr 2
h = πr 2 / V
6
Evaluate the expression following the order of operations: 4(-8 + -2) - 20
4
-44
-60
20
7
Rearrange the distance formula to solve for time,
t.
The formula is:
d = rt
t = dr
t = d - r
t = d/r
t = r/d
8
Evaluate the expression: 3(-5) + 11
4
26
8
-4
9
Evaluate the expression: 18 - (-32/4)
10
26
-10
-26
10
Solve the equation: 8
r
+ 11 = 35
r = 3
r = 4
r = -3
r = 35
11
Solve the equation: (
s
- 9)/5 = -4
s = 11
s = -65
s = 65
s = -11
12
Which Property of Addition is used to justify that 19 - a = -a + 19
Identity
Distributive
Commutative
Associative
13
Which expression below is equal to -3d + 15
3(d + 5)
-3(d + 5)
3(d - 5)
-3(d - 5)
14
If Sam is 32 years old, and is 8 years older than twice his son's age, then how old is his son?
72 years old
6 years old
12 years old
8 years old
15
Factor the expression completely: 24c + 42
6(4c + 7)
7(4c + 6)
2(12c+ 21)
6(4c + 42)