Simple Equations
Solving Multi-Step Equations
Accuracy and Measurements
Absolute Value
Rewriting Literal Equations
100
w+3=-4
w=-7
100
3w+7=19
w=4
100
You use a tape measure to measure the dimensions of a canvas as 50.8 cm by 40.6 cm. Estimate the area of the canvas.
2060 cm2
100
|x|=13.4
x=13.4 and -13.4
100
Solve 2y-18x=-26 for y
y=-13-9x
200
5.2=a-0.4
a=5.6
200
12v+10v+14=80
v=3
200
The circumference of Mercury is about 15,329 kilometers. The circumference of Jupiter is about 439,263 kilometers. Which is larger, Jupiter or Mercury? About how many times larger?
Jupiter, about 29 times larger.
200
|-3.5d|=15.4
d=-4.4 and 4.4
200
Solve
11-1/2y=3+6x
for y
y=16-12x
300
-8r=64
r=-8
300
-9(t-2)=4(t-15)
t=6
300
You measure the dimensions of a gift box as 8.75 inches, 4.75 inches, and 2.5 inches. Which of the following is not an approximation of the volume of the gift box?
A) 103 in3
B) 100 in3
C) 103.9 in3
D) 103.906 in3
D
300
|t/2|=6
t=12 and -12
300
Solve y=3bx-7x for x
x=y/(3b-7)
400
3/2+t=1/2
t=-1
400
(d-8)/-2=12
d=-16
400
A substance weighs exactly 1 pound. You use three different scales to measure the weight of the substance. The results are shown below. Which measurement is the most accurate?
Scale 1 measured 1.019 lbs
Scale 2 measured 0.9 lbs
Scale 3 measured 1.01 lbs
Scale 3; 1.01 lbs
400
|x-1|+5=2
No solution
400
Area of A trapezoid is A=1/2h(b2+b1)
Solve the equation for b2
b2=2A/h-b1
500
-3 1/6=k-2/3
k=-2 1/2
500
7/10c-8-1/2c=-16
C=-40
500
You want to install an in-ground basketball post. You dig a hole with the dimensions shown for the concrete. An 80-pound bag of concrete mix yields 0.6 cubic feet. How many bags do you need to install the basketball post?
10 bags
500
|1/3y-2|-7=3
y=-24 and 36
500
The total cost C (in dollars) to participate in a ski club is given by C = 85x + 60, where x is the number of ski trips you take.
Solve the equation for x.
x=(C-60)/85