One-Step Equations
4 = -8 + x
x= 12
6x – 13 = 11
x= 4
Solving Equations
4x + 3 = 7
x = 1
2b = b + 12
b = 12
Caden and his little sister, Nina, went blackberry picking. Caden helped Nina get started until she had 42 berries. When Caden started picking his own berries, he picked 11 berries per minute while Nina continued to pick 5 berries per minute. After how many minutes will Caden have the same number of berries as Nina?
7 minutes
x + 12 = 0
x= -12
3x + 5 = 14
x= 3
Solving Equations
4 + 5x = 29
x = 5
5c = 20 + c
c = 5
Jeanette and Carlos are participating in a novel-writing challenge. Jeanette has already started her novel and has written 48 pages so far. She will write an additional 4 pages each week. Carlos is just getting started, and he will write 10 pages each week. After how many weeks will they have written the same amount of pages?
8 weeks
3 = -2 – x
x= -5
x/2 + 13 =-8
x= -42
Solving Equations
-45 = x + 4
x = -49
a + 5 = 2a - 4
a = 9
Coach Liz and Coach Joseph were stocking up on snacks for their soccer teams. Liz bought some juice boxes along with some oranges that cost $10.98. Joseph bought three times as many juice boxes as Liz, but he didn't buy any oranges. He spent the same amount of money as Liz. How much did Coach Joseph spend on Juice Boxes?
$16.47
5x = -80
x= -16
x/2 + 5 =10
x= 10
Solving Equations
14 = 3a + 6 + 2
a=2
4y−5=2y+9
y = 7
Liz is comparing two options to go zip-lining with some friends. The zip line at Blackberry Lake costs $30 per person, plus a $40 charge to rent equipment for the group. The zip line at Mount Oak costs $45 per person, with no additional charge for equipment. Liz also has a coupon for $20 off the total price at Mount Oak. How many people can go zip lining for the prices to be the same?
4 people
-16 = x+2
x= -18
x/3 - 6 = -3
x= 9
Solving Equations
-21 = 7(5k - 8)
k = 1
5z+8 = 2z+20
z = 4
One morning in Austin, Texas, the temperature was 80°F and rose by 2°F per hour until midafternoon. At the same time in Little Rock, Arkansas, the temperature was 72°F and rose by 4°F per hour. How many hours until they are the same temperature?
4 hours