Linear Equation
Function
Word Problems
Solving Equations
Miscellaneous
100
Find the slope of a line that goes through the points (-2, 3) and (1, 0)
-1
100
Is this a function? x y _________ -2 3 -1 15 0 3 1 -17
Yes
100
To rent a car, it costs a user fee of $40 and then $0.20 per mile. Write an equation to represent how much it costs to rent a car.
C = 0.2m + 40
100
Solve the equation: 4n + 1 = 12 + 5n
n = - 11
100
In a negative correlation, as x _____, y_____.
As x increases, y decreases. OR As x decreases, y increases.
200
Find the slope and y-intercept of the line 3y-4=12x
Slope: 3 y-intercept:4/3
200
f(x)= -2x + 3 Find the range of this function when the domain is {-4, -2, 0, 2.5, 5}.
{-7, -2, 3, 7, 11}
200
The local ice skating rink costs $5 to rent skates and $3 per hour. Jean has $45. How many full hours can she skate? Write an equation to represent the situation and answer the question.
45 = 3h + 5; h = 13.33333; Jean can skate for 13 hours and she will have $1 left.
200
Solve the equation: 3(2r - 1) + 5 = 5(r + 1)
r = 3
200
What is the difference between an expression and an equation?
Equation has an = sign. Usually you have to solve an equation and simplify an expression.
300
Write an equation with undefined slope.
Answer varies x=3
300
If f(x) = 2x - 3 and g(x) = - x +1, what is f(3) - g(-1)
1
300
Tina has $220 in her account. Cliff has $10 in his account. Every month Tina withdraws $12, while Cliff adds $18. Write an equation to model this situation when they have the same amount of money in the account.
220-12m=10+18m
300
Solve the equation: 2(8y - 7) = 2(3 + 8y)
No solution.
300
4 percent of what number equals 20?
500
400
Write an equation perpendicular to 3x-y=-9, and goes through point (2, -6)
y+6=-1/3 (x-2)
400
How are the two graph differ? y=|x| y=|x| -3
The second graph is shifted three unit down compare to the first graph.
400
You have 28 coins that are all nickles (n) and dimes (d). The value of the coins is $2.05. What system of equations can be used to find the number of nickles and the number of dimes?
n+d=28 0.1n+0.05d=2.05
400
Solve the system of equation: y = -3 x + 11 y = 5 x + 3
(1, 8)
400
Solve for the inequality: - 2(x - 5) + 2 < 7.4
x > 2.3
500
Long Reach High School's soccer team is purchasing shirts that cost $21 each. They also have to pay a $10 shipping fee. Make a table to represent how much it costs for 1 shirt, 2 shirts, and 3 shirts. Use the table to find a pattern and write an equation to represent the situation. How many shirts can they get if they have raised $325?
Equation: C = 21s + 10; They can buy 15 shirts.
500
If f(x) = x - 3 and g(x) = 2x^2, what is f(3g(-2))?
21
500
A volleyball team with 26 students is going to the game. There will also be five coaches that will each drive a van or a car. Each van seats 7 persons, including the driver. Each car seats 5 persons, including the driver. How many vans and cars will be needed?
3 vans and 2 cars
500
Solve the system of equation: 3 x - 4 y = 10 - 2 x + 9 y = -13
(2, -1)
500
If you can ride your bike 45 feet/sec, how many miles/hour is that? Round to the nearest tenth.
30.7
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