One-Step Equations
One-Step Inequalities
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Formulas
100
k + (-9) = -53
k + (-9) = -53 - (-9) -(-9) k = -53 - (-9) k = -53 + 9 k = -44
100
b + 10 < 18
b + 10 < 18 - 10 -10 b < 18 - 10 b < 8
100
x > 12
> (open circle) ----------------------------->
100
Linda spent $1.40 at the school store. Pencils cost $0.25 and gum erasers cost $0.10. How many of each did she buy if she bought the same number of pencils and erasers?
$1.40 = .10x + .25x OR $1.40 = .35x
100
D=RT D = 150 miles T = 6 hours Find R
150 = r(6) ----- ----- 6 6 25 mph = r
200
n ÷ 5 = -12
n ÷ 5 = -12 (5) (5) n = -12(5) n = -60
200
12v < - 48
12v < - 48 ---- ----- 12 12 v < - 4
200
c ≤ -67
≤ (Closed Circle) <--------------------------
200
Ryan bought some special markers for $0.75 each. She did not have to pay any taxes. She had $5.00 in her wallet. What is the maximum number of markers that she could buy?
.75g = 5.00
200
V = LWH length = 10cm, width = 3cm, height = 4cm
V = LWH V = (10)(3)(4) V = 30(4) V = 120 cm cubed
300
y - 7 = -23
y - 7 = -23 + 7 +7 y = -23 + 7 y = -16
300
30 < a ÷ 2
30 < a ÷ 2 (2) (2) 60 < a
300
h ≥ 17
≥ (Closed Circle) ----------------------->
300
Kelly wants to spend no more than $1094 on his trip to Disney World. The air fare is $421. What is the most Kelly can spend on other things?
421 + s ≤ 1094
300
A = 1/2 bh base = 14in height = 5in
A = 1/2 bh A = 1/2 (14)(5) A = 7(5) A = 35 in sq
400
18 + d = 6
18 + d = 6 -18 -18 d = 6 - 18 d = 6 + - 18 d = -12
400
-7f ≥ 56
-7f ≥ 56 ---- ---- -7 -7 f ≤ -8 (the symbol flips because you divide by a negative)
400
Q < -36
< (Open Circle) <----------------------
400
At Springfield High School, a student must receive at least 240 votes to win the election for senior class president. As of Wednesday afternoon, Dominique had already received 130 votes. Write an inequality to represent the number of votes, v, needed by Dominique to become senior class president.
130 + v ≥ 240
400
The surface area of a rectangular prism can be determined using the formula S = 2LW + 2LH + 2WH where L is the length, W is the width, and H is the height. Find the surface area of a rectangular prism with a length of 2 cm, a width of 6 cm, and a height of 8 cm.
S = 2LW + 2LH + 2WH S = 2(2)(6) + 2(2)(8) + 2(6)(8) S = 2(12) + 2(16) + 2(48) S = 24 + 36 + 96 S = 156 cm sq
500
-96 = -12a
-96 = -12a ---- ----- -12 -12 8 = a
500
k - (-5) > 26
k - (-5) > 26 + (-5) + (-5) k > 26 +(-5) k > 21
500
11 < w
11 < w w > 11 (VARIABLE COMES FIRST) > (Open Circle) -------------------->
500
At Target, shorts are on sale for $12 each. If you want to spend no more than $52, how many shorts can you buy?
12s ≤ 52
500
Ohm’s Law states that the relationship between the current in amperes, I , the voltage in volts, V, and the resistance in ohms, R, in the electrical circuit is I = V ÷ R. A 120 volt television has a resistance of 10 ohms. What is the current of the television?
I = V÷R I = (120)÷(10) I = 12 amperes
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