Equations Level 1
Solve:
3x + 20 = 119
x = 39
8x - 40 = 24
x = 8
Just set up the equation!
Lyft charges $4 plus $0.10 per mile. Uber charges $3 plus $0.25 per mile. How many miles will it take for both companies to be equal?
0.10x + 4 = 0.25x + 3
How many solutions?
2x + 20 = 20
1 solution
x = 0
REVIEW: Brian is driving at a rate of 65 miles per hour. How many miles will he travel after driving for 5 hours?
325 miles
22(10x + 4) = 4048
x = 18
3v + 2 = 4v + 4
v = 2
At one store, a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, each letter costs $0.25 and the trophy costs $14.75. How many letters, will it take to be the same?
15 letters
How many solutions?
3(4x + 100) = 6x + 300 + 6x
ALL REAL #s
What TV show features the characters Rachel, Ross, Chandler, Monica, and Joey?
Friends
x / 3 + 8 = 44
x = 108
8x + 6x = 8x + 4x + 12
x = 6
A town’s population is 14,000, and it is increasing by 160 people every year. A nearby town has a population of 4,000 and it is increases by 800 every year. In about how many years will the populations of the towns be equal.
answer will be a decimal
15.625
15.62 or 15.63 years
How many solutions?
8x + 20 = -8x + 12
1 solution
-0.5 or -1/2
REVIEW:
7x2 (4x5)
28x7
-22 + 8v = 7(4v − 6)
x = 1
-5(2x - 5) = 10x + 50
x = -3.75
Company A makes $2400 plus $420 per sale. Company B makes $2000 plus $500 per sale. How many sales do they need to make to have the same profit?
50 sales
Fill in the blanks to make infinite solutions.
4(12x + 15) + 3x + 8 = ____x + ____
51x + 68
Fill in the blanks to create a no solution.
-2(x + 5) + 7x = ____x + ______
5x + any number other than -10
−13 + 6n = −7(5n − 4)
x = 1
2/5x - 15 = 5/8x - 16
answer will be a fraction or decimal.
x = 5 5/9
20 balls
How many solutions?
-12(3x + 3) + 5x - 10 = -3(10x + 15) -x - 1
-31x - 46 = -31x - 46
All Real #'s
What is the next letter in this sequence?
A, C, F, J, O, ____
U