Solving Equations & Checking Work
24 + 2x = 3x + 2(3 x 4)
Solve for x. Is there more than one solution?
x = 0
one solution
2x + 5 < 3
x < -1
Write an expression to represent the following situation:
A bowling alley charges $7 for a pair of shoes and 18 per game that is played
18x + 7
4 + -3x = 2
How many solutions for x? What are they if possible?
One answer = 2/3
24 + 3x = 3x + 3(7 - 1)
How many solutions for x? What are they if possible?
No solutions
2x + 3 + -1 > x + 5
x > 3
Write an algebraic equation for the following situation:
I am thinking of a number. If you add two to the number then triple that, you get nine.
3(x + 2) = 9
3x + 3 = 4 + x + (-1)
How many solutions for x? What are they if possible?
None
2(12 + x) = 2x + 24
How many solutions for x? What are they if possible?
Infinite answers
6 > 2x + 2
2 > x
Write and solve an algebraic equation for the following situation:
When you double my number and subtract 9, you get my original number. What is my number?
9
3x + 7 + (-x) + -2 = 2x + 5
How many solutions for x? What are they if possible?
Infinite solutions
For 3x + 2 = x - 2, does x = 0?
No
3x - 1 is less than or equal to 2x
x is less than or equal to 1
Write and solve an algebraic equation to represent the following situation:
In the first three football games of the season, Carlos gained three times as many yards as Alston. Travis gained ten yards more than Carlos. Altogether, the three players gained a total of 430 yards.
3x + x + 3x + 10 = 430
x = 60
3(x - 2) = 30 + x - 2 - x + 2
How many solutions for x? What are they if possible?
x = 12
one solution
5(x - 2) = 30
Solve and check your solution.
x = 8
4(x - 6) is greater than or equal to 4 - 2x
x is greater than or equal to 14
Come up with a scenario to represent the following expression:
4x + 10
answers will vary
7(x + 1) - 7 = x2
one solution
x = 0