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Writing Equations
One and Multi-Step Equations
Variables on Both Sides
Absolute Value Equations
Literal Equations
100
Two added to three times a number m is the same as 18.
What is 2+3m=18 or 3m+2=18?
100
-13z = -39
What is z= 3?
100
3(6+5y)=2(-5+4y)
What is y= -4?
100
If a=2 and b = -5 what is the absolute value of a+b, minus c.
What is 5?
100
solve for m. d=mv
What is d/v=m?
200
Twice "a" increased by the cube of "a" equals b.
What is 2a+a^3=b?
200
9 = (-6p-(-3))/(-8)
What is p=12.5?
200
-5x-10=2-(x+4)
What is x= -2?
200
Solve the equation and then graph the solutions. the absolute value of t+6 equal to 4.
What is {-10,-2}?
200
Solve for w. P= 2l+2w
What is P-2l/2=w?
300
Translate into a sentence using words. 4(a+b)=9a
What is answers will vary?
300
A number is multiplied by 2, and the product is added to 9. The result is 49. What is the number?
What is 20?
300
Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.
What is -45?
300
Write an absolute value equation for the following graph.
What is (see Miss Jeffers' picture)?
300
Solve for P. (I/Pt)=r
What is (I/rt)=P?
400
Translate into a sentence. 8-6x=4+2x
What is answers will vary?
400
Find three consecutive integers whose sum is 36.
What is 11, 12, 13?
400
In the 2010 Winter Olympic Games in Vancouver, Canada, the United States athletes won 1 more than 4 times the number of gold medals won by the French athletes. The United States won 7 more gold medals than the French. How many gold medals did the French win? Write and solve an equation for the scenario.
What is 7+F=4F+1 and F=2?
400
Tolerance in Engineering is an allowance made for imperfections in a manufactured object. The manufacturer of an oven specifies a temperature tolerance of 15 more or less. This means that the temperature inside will be within 15 degrees of the temperature. Write an absolute value equation for the following scenario if the oven thermostat is at 400 degrees.
What is the absolute value of t-400 equal to 15?
400
Solve for m. 10m-p= -n
What is m=(-n+p)/10?
500
Write a word problem based on the given information. c=cost per pound of plain coffee beans c+3= cost per pound of flavored coffee beans 2c+(c+3)=21
What is the cost of two pounds of plain coffee beans and one pound of flavored coffee beans is $21. How much does one pound of plain coffee beans cost?
500
After Ricardo received an allowance for the week he went to the mall with some friends. He spent half his allowance on a paperback book. Then he bought himself a snack for $1.25. When he arrived home he had $5 left. How much was his allowance?
What is $12.50?
500
Tripling the greater of two consecutive integers gives the same result as subtracting ten from the lesser even integer. What are the integers? Write and equation and solve.
What is 3(n+2)=n-10 and -8 and -6?
500
The most familiar statistical measure is the arithmetic mean, or average. A second important statistical measure is the standard deviation, which is the measure of how far the individual scores are from the mean. For example, the mean score on the Wechsler IQ test is 100 and the standard deviation is 15. This means that people within one deviation have an IQ that is 15 points higher or lower than the average. a) Write an absolute value equation for the maximum and minimum test scores within one standard deviation if the mean was 80 and the standard deviation was 12. b) What are the scores?
What is a) the absolute value of x-80 is equal to 12. b) 68 and 92
500
The formula to compute a person's body mass index is B= 703 times (w/h^2). B represents the body mass index, w is the person's weight in pounds, and h represents the person's height in inches. a) solve the formula for w. b)What is the weight to the nearest pound of a person who is 64 inches tall and has a body mass index of 21.45?
What is a) w=(b times h^2)/703 b) 125 lb.