Review for Test 4

Nathaniel received $200 for his birthday and his friend, Mike, received $250 for his birthday. Nathaniel earns $15 every week for walking the neighbor's dog. Mike earns $12 every week for watering the garden. Nathaniel and Mike are saving money. Which inequality can be used to find "w", the number of weeks it will take Nathaniel to have saved more than Mike?

• 200 + 15w > 250 + 12w

• 200 + 15w ≤ 250 + 12w

• 15w + 12w > 200 + 250

• 200 + 15w < 250 + 12w

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7.10.A

The length of the rectangle, 2x + 5 is greater than the width, 3x - 2.

Which inequality represents this situation?

• 2x+ 5 < 3x - 2

• 2x + 5 > 3x - 2

• 5x > 3

• 5x < 3

Mallory bought pizza and soda for a party; she pays $12.57 on the sodas and $10.95 for each pizza. Rose also bought pizza and sodas; she pays $10 on the sodas and $12 for each pizza. Which inequality can be used to find "p", the minimum number of pizzas that can be order so that the total Mallory pays is less than the total Rose pays?

• 12.57 + 10.95p < 10 + 12p

• 12.57p + 10.95 < 10p + 12

• 12.57 + 12p > 10 + 10.95p

• 12.57p + 10.95 > 10p + 12

Uber charges $8.00 to get into the car and $0.75 per mile. Lyft charges $6.00 to get into the car and $1.25 per mile. How many miles would your trip need to be for Uber and Lyft to cost you the same amount?

• 0.75 + 8x = 1.25 + 6x

• 6 + 0.75x = 8 + 1.25x

• 1.25x + 0.75x = 14

• 8 + 0.75x = 6 + 1.25x

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

• 25 + 5x = 30 + 4x
• 25 - 5x = 30 - 4x
• 30 - 25 = 4x + 5x
• 25x + 5 = 30x + 4

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x
• 80+9.50x < 120+7.50x
• 80x+9.50 > 120x+7.50
• 80x+9.50 < 120x+7.50

The perimeter of triangle FGH is 25x units. The dimensions of the triangle are given in units.

Which equation can be used to find the value of x?

• 12x - 17 = 25x

• 12x + 17 = 25x

• 12x + 25x = -17

• 25x - 17 = 12x

WRITE AN EQUATION TO REPRESENT THE SITUATION

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day.

• 400 - 75x = 1,000 + 25x

• 400 + 75x = 1,000 – 25x

• 400x - 75 = 1,000x + 25

• 400x + 75 = 1,000x – 25

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10
• 3.33v + 10 > 2v 
• 3.33v < 2v + 10
• 3.33v + 10 < 2v

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x
• 80+9.50x < 120+7.50x
• 80x+9.50 > 120x+7.50
• 80x+9.50 < 120x+7.50