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Translating Equations
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Absolute Value
Ratios and Proportions
Percentages
100
The translation for the following sentence into an equation 3 times a number h minus 5 equals the difference of h and 10
What is 3h-5=h-10
100
The solution for y-15=-5
What is y=10
100
Absolute values will never be this
What is negative
100
We use cross multiplication to determine this about ratios
What is if the ratios are proportionate
100
If a student answered 35 items correctly on a 40 item test, what percent did he/she answer correctly?
What is 35 divided by 40 = 87.5%
200
The sum of twice a number x and 20 is 5 more than 3 times x
What is 2x +20=5+3x
200
The solution for p in: 3p=27
What is p=9
200
An actual definition for absolute value
What is the distance a number is from zero on a number line.
200
15 to 30 and 20 to 40 are
What is proportionate ratios
200
70 is what percent of 300
What is 23.3%
300
x+3=2(8+x)
What is The number x and 3 is two times the sum of 8 and x
300
Solve 8y +2=3
What is y= 1/8
300
Solving for the absolute value of [3r-6]=21 requires that I set up two equations for two possible solutions. The two equations are
What is 3r-6= 21 and 3r-6=-21
300
Machine A can produce 325 widgets in 5 hours. At this rate, how many widgets can Machine A produce in 7 hours?
What is 455 widgets in 7 hours
300
35 is 28% of what number?
What is 125 Solve by 35=.28x where x is the unknown
400
An equation that can be written for Julie and Holly are traveling opposite directions, but leave the store at the same time. Julie drives 50 miles per hour and Holly drives 45 miles per hour. In how many hours will they be 410 miles apart?
What is 50X +45 X=410
400
Solve bx-8=y , for b
What is b=(y+8)/x
400
The absolute value of [y-8]=10 has two possible solutions they are
What is y= 18 or y=2
400
Mat typically makes 85% of hits shots from the free throw line. If he attempts 40, he will likely make this amount
What is 34 shots
500
Solve 2(3x + 8), for x=2
What is 28
500
A friend is trying to figure out the reason why two equations are needed to solve absolute value problems. Your explanation would be...
What is the reason we need to solve for both positive and negative values is that there are two actual solutions. Then I would demonstrate the concept using the two solutions to prove it.