y=mx+b
Rate Problems
Algebra and a little y=mx+b
Systems of Equations
Miscellaneous
100
What is the slope in this equation? y=-3x+4
-3
100
Lisa has 270 Riyals saved. Each week, she receives an allowance of 45 QAR from her parents. How much money will Lisa have in 94 weeks?
Answer: 4,500 QAR y=270+45(94)
100
Write an equation where the slope and y-intercept are both positive.
Example: y=2x+2 No negative numbers in the equation.
100
Solve for x: x-2=1-3x
x=3/4
100
How many colors are in a rainbow?
7
200
What is the y-intercept in this equation? y=1/2x+2
(0,2)
200
Nicole is starting a babysitting business and decides to charge a $10 flat fee just to show up and then $8 an hour thereafter. If Nicole earned $82, how many hours did she babysit for?
Answer: 9 hours 82=10+8x
200
Is the line descending or ascending? y=6-2/3x
Descending
200
Solve for x: 3x-5=5x-8
x=3/2
200
Solve this problem: 4/5 x 3/4
12/20=3/5 Answer: 3/5 Always simplify
300
What is the slope of this equation? y=-x+2
-1
300
Ahmad is having a birthday party that starts at 5:00. At 5:00, 2 people arrive every 3 minutes. When the party starts, Ahmad and his 4 brothers are already at the party. Write an equation that represents the number of people at the party at any given time.
y=2/3x+5
300
Solve for x: 6-2x=2
x=2
300
Solve the system of Equation. y=-4x+5 y=x+10
(-1,9)
300
2/3 + 1/4
11/12
400
What is the y intercept for this line? y=3x
(0,0)
400
Lisa has a collection of 110 dolls. Each month, she receives 3 new dolls from her grandparents as a gift. How many dolls will she have after 3 years?
Answer: 218 dolls y=110+3x y=110+3(36)
400
Solve for x: -8x=-7-9x
x=-7
400
Solve the system of equation. y=2x+3 y=2x-2
No solution; the lines do not intersect
400
How many planets are in our solar system?
8
500
What is the slope AND y-intercept of this line? y=5-4x
The slope is -4. The y-intercept is (0,5).
500
Ahmad is having a birthday party that starts at 5:00. At 5:00, 2 people arrive every 3 minutes. When the party starts, Ahmad and his 4 brothers are already at the party. How many people will be at the party at 6:45?
Answer: 75 people y=2/3x+5 Time:5:00 to 6:45 is 1 hr 45 minutes = 105 minutes total. y=2/3(105)+5
500
Solve for x: 2/3x+1=16
x=45/2 or 22.5
500
Solve the system of equation. y=1.5x+5 y=2/3x+1
(-24/5, -11/5)
500
What is the largest number you can get from using just two digits? Hint: It's not 99.
9 raised to the 9th power
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