Combining Like Terms
6x + 4 + 3x
What is the new expression with all like terms combined?
9x + 4
5 (3x + 7)
Simplify this expression.
15x + 35
Solve algebraically.
2.5r + 12 = 62
r = 20
Solve and graph on your whiteboard.
6x - 32 > 50
x > 3
Paige bought c concert tickets for $45 each and paid a processing fee of $20. If she spent $380, how many concert tickets did she buy?
45x + 20 = 380
x = 8
Claim: Paige bought 8 concert tickets.
Rewrite the following expression with all like terms combined.
9x - 3 + 8x + 11
17x + 8
100 (5x + 10)
Simplify this expression.
500x + 1000
Solve algebraically.
2x + 22 = 60
x = 19
Solve and graph on your whiteboard.
2x - 14 <= -29
x <= -7.5
Sebastian paid $8 to see the midnight showing of the newest Marvel movie release. He bought c boxes of candy for $5.50 a piece. If he spent $24.50, how many boxes of candy did he buy?
5.50c + 8 = 24.50
c = 3
Claim: Sebastian bought 3 boxes of candy.
7x + 33 + 2x + 10 -7x
What is the simplified expression?
2x + 43
3 (9x - 3)
Simplify this expression.
27x - 9
Solve algebraically.
5t + 26 = 61
t = 7
Solve and graph on your white board.
118 + 2/3(t) >= 160
x >= 63
Kristi made 12 friendship bracelets and 10 scrunchies. She sold the friendship bracelets for $5.25 each at the craft fair and the scrunchies for x dollars a piece. She made a profit of $95.50. How much did she sell the scrunchies for at the craft fair?
10x + 63 = 95.50
x = 3.25
Claim: Kristi sold each scrunchie for $3.25.
Simplify the expression.
5(2x - 3) + 17 - 3x
7x + 2
15 ( 2x - 3 )
Simplify this expression.
30x - 45
Solve algebraically.
-2(x + 9) = -8
x = -5
Solve and graph on your whiteboard.
-0.5x + 6 < 10
x > -8
Bianca has $20 for cab fare. The cab fare is $3 per mile plus a flat fee of $2.50. How many miles can Bianca travel in the cab?
3x + 2.50 <= 20
x <= 5.83333
Claim: Bianca can travel up to 5.83 miles.
Combine all like terms in the following expression.
8x + 2y - 2x + 7 + 3y - 2
6x + 5y + 5
9 (X + 35x - 30)
Simplify this expression.
324x - 270
Solve algebraically.
250c + 500 = 1500
c = 4
Solve and graph on your whiteboard.
54 < 19 - 7x
x < -5
Kenneth received at total of $120 for his birthday. At the mall, he bought a pair of jeans for $72. He finds t-shirts on sale for $12. How many t-shirts can he buy?
12x + 72 <= 120
x <= 4
Claim: Kenneth can buy up to 4 t-shirts.