Combining Like Terms Expressions
-6k + 7k
k
5(6x + 9)
5 = 2x +8
x = -3/2
5y - 2y + 2 = 23
y = 7
Kelly makes $7.50 an hour at her job. This month she earned a bonus of $150. If her paycheck was $360, how many hours did she work?
Equation: 7.50+150 = 360
Solution: h=28
12𝑟 − 8 − 12
12r - 20
1.6 (6d + 2)
9.6d + 3.2
3x + 5 = 14
x = 3
12(2-x) = 12
x = 1
The art club sold crafts for $4 each at a fundraiser. The total expenses to make all of the crafts was $200. If they made a profit of $500, how many crafts did they sell?
Equation: 4c - 200 = 500
Solution: h=175
𝑛 − 10 + 9𝑛 − 3
10n - 13
-2g - 10
4 + 1/5r = = -1
r = -25
5x + 3(x+4) = 28
x = 2
Angie bought tickets for her and her friends to go to the movies. Tickets cost $8. She also spent $6 on food. She spent a total of $46. Write and solve an equation to determine how many tickets Angie bought. Let “t” represent the number of tickets.
Equation : 8t + 6 = 46
Solution: t = 5
0.5h + 2h + 1.5h -1
4h - 1
8(p + 7 +2q)
8p + 56 + 16q
x/3 - 18 = -11
x = 21
4(-x + 2) - 4x = -40
x = 6
Christian is saving money to buy a bike that costs $189. He has saved $99 so far. He plans on saving $10 each week. In how many weeks will he have enough money to buy the bike? Write and solve an equation.
Equation: 10w + 99 = 189
Solution: w = 90
2x + 3y - 4x - 7y + 9xy - 7xy
-2x - 4y + 2xy
12a + 6
-2 + 2/3w = 10
x = 18
-5(x - 3) - 2x - 2 = - 43
x = 8
Jacob collected pledges for a charity walk-a-ton. He will receive contributions of $65.50 plus $21.75 for every mile that he walks. How many miles will he need to walk to raise $370? Write and solve an equation.
Equation: 21.75m + 65.50 = 370
Solution: m = 14