Combining Like-Terms
Combine the following Like-Terms:
2x+5+3x-1
5x+4
Distribute:
3(2x+1)
6x+3
Factor the following expression:
8x+4
4(2x+1)
Solve for x:
3x+2=11
x=3
Angel and Kairi went to Milton's Yogurt Shop for frozen yogurt. Angel got 8.6 ounces of strawberry frozen yogurt, and Kairi got 8.2 ounces of chocolate frozen yogurt. Their frozen yogurt cost $0.50 per ounce. How much did they pay in all?
Combine the following Like-Terms:
7x+4-2x-6
5x-2
Distribute:
4(4x-2)
16x-8
Factor the following expression:
12x-3
3(4x-1)
Solve for x:
5x-4=41
x=9
Khyber helped design a magician costume for a school play. He used 5.75 feet of ribbon for the magician's wand. He used 11.75 feet of the same ribbon to decorate the magician's robe. If Khyber used $10.50 of ribbon in all, how much did the ribbon cost per foot?
$0.60 per foot
Combine the following Like-Terms:
-3x+2-4x-3
-7x-1
1/2(8x-14)
4x-7
Factor the following expression:
24x+20
4(6x+5)
Solve for x:
x/2 - 4 =3
x=14
Riley invited some friends to dinner, and she plans to make fajitas. At the grocery store, she spends $2.56 on red bell peppers and $1.92 on green bell peppers. If both types of bell peppers cost $1.60 per pound, how many total pounds of bell peppers does she buy?
2.8 pounds
Combine the following Like-Terms:
3x-2z+4-6x+3z-2-2x-5z+8
-5x-4z+10
Distribute:
0.25(12x-20)
3x-5
Factor the following expression:
56x+24z-32
8(7x+3z-4)
Solve for x:
x/7 +3 = 2
x =-7
Kevin goes to a skate shop with his friend Kareem. Kareem buys a helmet that costs $28.75. Kevin finds a helmet that is 3/5 of the cost of Kareem's helmet. If Kevin gives the cashier a $20 bill, how much change will he receive?
$2.75
Combine the following Like-Terms and Simplify:
3(-7x-3+4x+1)
-9x-6
Distribute:
1.25(3x-2+x+10)
5x+10
Factor the following expression:
6x2+9x
3x(2x+3)
Solve for x:
x2+4=29
x=5
James is at the lake with his friends. It costs $8.50 to rent a paddleboat for a 1/2-hour ride. Together, James and his friends have $25.50. How long can they ride in a paddleboat if they spend all of their money?
1.5 hours