Equations in 1 Variable
Formula's & Literal Equations
Word Problems
Inequalities in 1 Variable
Systems of Equations
100
What is wrong with the approach -2x=6, x=6/2=3
Divided by 2 instead of -2, answer shouldn't be 3, should be -3
100
What is the solution to -13.421 + (5/4) x 2.431?
-10.38225
100
Barb's income is $600 less than eight times her weekly spending while it is $900 more than five times her weekly spending. How much is her weekly spending?
Barb's weekly spending is $500
100
1.What happens when you divide or multiply by a negative when solving inequalities? 2.How do I graph a solution that contains a less than symbol.
1. Flip inequality symbol. 2. Use closed circle, shade left
100
What are the three methods for solving systems of equations
Elimination and Substitution Graphing we don't learn in this class.
200
Explain how you would solve 5(3x-4) = 10x-30.
Multiply 5(3x) & 5(-4). Then subtract 10x on both sides, add 20 on both sides. Divide both sides by 5, answer is -2.
200
Explain how you would solve the lateral equation 9l-7w = 95
Add 7w on both sides, then divide both sides by 9. Answer is (95 + 7w)/9
200
Mike is five years younger than his friend Paul. How old is each if the sum of their ages is 37?
Paul is 16yrs old and Mike is 21yrs old.
200
Solve -5x <= - 105
x >= 21
200
System: 4x - 3y = 7 -2x + 5y = 6 What is wrong with the approach? 4x - 3y = 7 4x - 3y = 7 2 * (-2x + 5y = 6 ) -4x + 10y = 6 ----------------- 7y = 13
2 was not multiplied by every term in the second equation, missed the 6.
300
Set up an equation needed to figure out the age of Melissa, where Sarah is 20 yrs old, and her age is four years less than twice Melissa's age.
Let x = Melissa's age. Then 2x-4 = Sarah's age. Equation is x + 2x-4 = 20
300
Explain what is wrong with the approach. 8x + 4y = 2x - 5; specified variable x -4y -4y --------------------- 8x = 2x - 5 -4y x = (2x-5-4y)/8
Approach did not isolate x, it is on both sides of the equation.
300
The perimeter of a rectangle is 82ft, and the width is 29ft less than its length. Find the dimensions of the rectangle.
2l + 2(l-29) = 82 l=35ft w = 6
300
Explain how you would solve -8x - 4 < 45
Add three to both sides, then divide by -8 and flip the symbol. Answer is x > -6
300
Solve the system. 5x + 3y = -27 y = x - 1
(-3, -4)
400
Solve the equation 6x - 4(x+2) = -3
x = 5/2
400
Rental car company uses the formula C=0.15M + 16D. C is total rental charge, M is miles and is number of days car is rented. Solve for M when C= $305.
M=(305-16D)/0.15
400
Tom is five years older than Melissa, and three times the sum of their ages is two years more than five times the age of Tom, how old is each?
Melissa 12yrs old Tom is 17yrs old.
400
A students has to earn 280 points on four test to pass a class. If she earned 190 points on the first three test, Find the minimum number of points she must earn on the fourth test to pass.
x>or = 93 points
400
Solve the system. 5x - 12y = (39/4) 8x - 15y = (27/2)
(0.75, -0.5)
500
The perimeter of a triangle is 43ft. The second side is 8ft shorter than the first side, the third side is three times as long as the second side. Find all sides.
1st=15ft, 2nd= 7ft and 3rd=21ft
500
What is the solution to the literal equation 5l + 2(3x + 4) = 2l - 2 when solving for w?
w=(-3l - 10)/6
500
A store mixes two types of coffee, one type sells for $8/lb., the other sells for $15/lb. to make a 25 lb. mixture that sells at $9.96 lb. How many lb. of each coffee are mixed?
$8 coffee, 18lb $15 coffee, 7lb.
500
Solve the inequality 6x - 3(x-2) <= 4x + 5 and graph(explain how the graph would be).
x>=1
500
Solve the system. 8x + 6y = 44 3x + 4y = 13
(7, -2)