Math 8 Unit 4b: Writing & Solving Systems of Equations

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4a + 6b = 3

  13.5a - 13b = 6

• a + b = 4

  a - b = 6

• 4a + 6b = 13

  3a + 7b = 13.5

• 4a - 6b = 13

  3a - 7b = 13.5

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Solve the system to find the price of each kind of fruit.

• $0.50 per apple and $1.00 per banana

• $1.50 per apple and $0.50 per banana

• $1.00 per apple and $1.50 per banana

• apples and bananas cost $1.00 each

The sum of two numbers is 236. The difference of the numbers is 100. Which system of equations could be used to find the numbers?

• x + y = 100 and x - y = 236

• x + y = 136 and x - y = 100

• x + y = 236 and x - y = 100

• None of the above

The sum of two numbers is 236. The difference of the numbers is 100. Find the numbers.

• 100 and 136

• 118 and 118

• 68 and 100

• 68 and 168

The perimeter of a rectangle is 60 cm. The length of the rectangle is equal to six more than the width. Find the length of the rectangle.

• 12 in

• 18 in

• 24 in

• 36 in

Beth went to Target and bought 3 rolls of paper towels and 2 bottles of cleaner for $9.33 before tax. Jen went the next day and bought 5 rolls of paper towels and 1 bottle of cleaner for $8.84. Find the cost of a roll of paper towels.

• $2.89

• $1.78

• $2.25

• $1.19

The sum of two numbers is 317. The difference of the two numbers is 43. What is the LARGEST of the two numbers.

The length of a rectangle is four more than twice the width. The perimeter of the rectangle is 128 yds. Find the WIDTH of the rectangle. (no label needed)

Jake went to QT and bought three BlowPops and two sodas for $2.95. Liv went to QT and bought a BlowPop and four sodas and spent $4.15.

Find the TOTAL cost for you to buy one of each.

The sum of two numbers is 120. The difference between the numbers is 24. Find the SMALLEST of the two numbers.