Linear Equation
Word Problems
Solving Equations
Miscellaneous
100
Find the slope of a line that goes through the points (-2, 3) and (1, 0)
-1
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
Simplify by combining like terms: (4y - 5) + (-3y +2)
y - 3
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
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: 4n + 1 = 12 + 5n
n = -11
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
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: 3(2r - 1) + 5 = 5(r + 1)
r = 3
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
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 equation: 2(8y - 7) = 2(3 + 8y)
No solution
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
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 equation: (Answer in simplest form) 6 - (t/4) = 8 + (t/2)
t = -8/3
500
If you can ride your bike 45 feet/sec, how many miles/hour is that? Round to the nearest tenth.
30.7
M
e
n
u