One-Steps/ Absolute Value
Multi-Step
Conversions/ Solving for a Variable
Proportions
Percents
100
x+5=-12
x = -17
100
(k/4)y - 6 = 2
y = 32
100
Write 0.42 as a percent.
42%
100
(n/5) = (2/10)
n = 1
100
Find 40% of 25.
x = 10
200
-3a = 39
a = -13
200
4 + 3a - 6 =43
a = 15
200
Write 3/4 as a decimal.
0.75
200
(10/k) = (9/15)
9 k = 150 k = 150/ 9 --> 50/3
200
What percent of 400 is 640?
160%
300
(4/5)x = 8
x = 10
300
4x + 2 =3x
x = -2
300
Write 56% as a fraction.
56/100 --> 23/50
300
(1/3) = (x/x-6)
3x = x - 6 2x = -6 x=-3
300
Find the percent increase or decrease: 200 to 80
60% Decrease
400
|x+2| - 4 = -1
x + 2 = 3 --> x = 1 OR x + 2 = -3 --> x = -5
400
- ( x - 4 ) = 2x + 6
x = -2/3
400
Solve for n. C = 360/n
n = 360/C
400
A tree casts a shadow that is 14 ft long at the same time that a nearby 2-foot-tall pole casts a shadow that is 1.75 ft long. How tall is the tree?
14/x = 1.75/2 1.75x = 28 x = 16
400
Estimate the total amount of a bill of $69.99 with a 15% tip
$80.50
500
|x+3| + 4 = 4
x = -3
500
(2/3)n = 4n(10/3) - (1/2)
no solution
500
Solve for r. A = P + Prt
r = (A - P)/Pt
500
Every dimension of a 2-by-4 inch rectangle is multiplied by 1.5 to form a similar rectangle. What is the ratio of the perimeters? What is the ratio of the areas?
Ratio of perimeters - 1.5 or 3/2 Ratio of areas - 9/4
500
Peter earns $32,000 per year plus a 2.5% commission on his jewelry sales. Find Peter's total salary for the year when his sales are valued at $420,000.
420,000(0.025) = 10,500 32,000 + 10,500 = 42,500