Solving Multistep Inequalities Practice

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. Write an inequality to determine the number of weeks ,x, Keith can withdraw money from his account.

Tags

CCSS.7.EE.B.4B

UPS charges $7 for the first pound, and $0.20 for each additional pound.

FedEx charges $5 for the first pound and $0.30 for each additional pound.

Write an inequality that would determine the number of pounds, p, where UPS is less expensive than FedEx.

• 7 + 0.20p < 5 + 0.30p

• 7 + 0.20p > 5 + 0.30p

• 7p + 0.20 < 5p + 0.30

• 7p + 0.20 > 5p + 0.30

Tags

CCSS.7.EE.B.4B

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. When will Store B cost less than Store A?

• x > 1.2

• x < 60

• x > 60

• x < 1.2

Susie makes and sells cupcakes. Susie purchased supplies for $80 and ingredients to make the cupcakes cost $40.  She sells each cupcake for $3.  How many cupcakes does Susie  need to sell to make a profit?

The sides of a square are represented by x.

The sides of a triangle are represented by 3x, 2x - 3, and x + 12

Write an inequality that would determine the values of x such that the perimeter of the square is at most the perimeter of the triangle.