Distributing/Factoring/ Combining Expressions
Which of the following expression is equivalent to (x+20)/ 5 ?
A. 4
B. 1/5x + 4
C. (x + 4)/ 5
D. 5x + 4
B
1/2x - 20 = 50
140
Katie wants to collect at a maximum 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, ddd, it will take Katie to collect over 100 seashells. Solve it.
12x + 34 < 100
x<5.5
The product of a number and -10, divided by 4, is 80
-10x/ 4 = 80
x = -32
Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on? A. Write an inequality that represents Daniel’s situation. B. How many rides can Daniel go on?
4 + 1.5r <(less or equal to) 25
r <(less than or equal to) 14
Twenty-two less than four-fifths of a number is -20
x = 2 1/2
Brennan and Seth ate ramen during math class. Brennan has 7 less than double the packages of ramen that Seth has. If Brennan has 25 packages, how many packages of ramen does Seth have?
2p - 7= 25
p= 16
Seth has 16 packages of ramen.
Which of the following expressions is equivalent to 12x+ 4y - 5(5y- 3x)?
A. 27x - 21y
B. 3(9x-7y)
C. - 21y - 27x
D. 12x + 4y - 25y + 15x
E. 7(3x -3y)
A, B, D
The difference of twice a number and 12 is under 14. Translate the inequality and solve it.
2x - 12 < 14
x < 13
Natalie played volleyball this weekend. She had 10 aces. If she plays in more games and averages 6 aces per game, how many games will it take for her achieve her goal of 118 aces in the season?
10 + 6a = 118
a= 18
-5xy - 12x - 7xy +11y
-12xy-12x+11y
The product of -7 and a number plus 30 is at a maximum 56
-7x + 28 <(or equal to) 56
x > (or equal to) -4
The seventh grade class is putting on a variety show to raise money. It cost $750 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $3000? Write an inequality that represents the situation. How many tickets do they need to sell?
15t + 750>(or equal to)3000
t >(or equal to) 150