Distributive Property and combining like terms
2(x + 5) = 14
x = 2
Solve. 6p - 18 -2p ≤ -2
p ≤ 4
Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister? Write and solve an equation to answer.
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
Bella earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120? Write and solve an inequality to answer.
x ≥ 16
Solve. −3x + 1 < 7
x > -2
*remember to flip the sign when you divide or multiply by a negative
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box? Write and solve an equation to answer.
b = 28
-6 = -3y + 4 + 5y
y = -5
2
Math_RCT 4_ACC 7_Unit 4
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99.
She also wants to use the gift card to buy some songs. Each song costs $1.29.
Which of these inequalities describes this situation, where n is the number of songs Lin wants to buy?
A 9.99 + 1.29n ≥ 50
B 9.99 + 1.29n ≤ 50
C 9.99 − 1.29n ≥ 50
D 9.99 − 1.29n ≤ 50
Ali is collecting signatures for a petition.
He currently has 520 signatures.
He has 6 more weeks to collect the remaining signatures he needs.
He needs a total of at least 1,000 signatures before he can submit the petition.
Ali wants to collect the same number of signatures each week.
Draw a number line that represents all possible numbers of signatures Ali could collect in each of the remaining weeks so that he will have enough signatures to submit the petition?
x > 80
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87
78 = 3c + 12 - c + 4
c = 31
4/5(15x + 45) ≥ -6x
x ≥ -2
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99.
She also wants to use the gift card to buy some songs. Each song costs $1.29.
Write and solve an inequality to describe this situation. Explain what your answer means in the context of the problem and give a realistic expectation of how many songs Lin can buy.
9.99 + 1.29n ≤ 50
n ≤ 31.02
At most, Lin can buy 31 songs because you can not buy part of a song.