Unit 4 Review

What is the solution to the following system of equations?

• (4, -6)

• (3, 2)

• (0, 5)

• (-6, 4)

Samantha went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each frozen dinner has 700 mg of sodium. Samantha purchased a total of 9 cans of soup and frozen dinners which collectively contain 3850 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

• 7 cans of soup and 2 frozen dinners

• 4 cans of soup and 5 frozen dinners

• 6 cans of soup and 3 frozen dinners

• 3 cans of soup and 6 frozen dinners

• (-6, 3)

• (-12, 4)

• (0, -1)

• (-10, 7)

Tags

A.REI.6

• The graph that shows the solid line y = -2x - 5 with shading above it.

• The graph that shows the dotted line

  y = 2x + 5 with shading below it.

• The graph that shows the dotted line

  y = -2x + 5 with shading above it.

• The graph that shows the solid line y = 2x - 5 with shading below it.

Arianys has p pennies and n nickels. She has no more than $1 worth of coins altogether.

Write this situation as an inequality.

• 0.01p + 0.05n < 1

• 0.01p + 0.05n ≥ 1

• 0.01p + 0.05n ≤ 1

• 0.01p + 0.05n = 1

• (2, 10)
• (0, -3)
• (6, 0)
• (4, 5)

• y > -3x + 3
• y < -3x + 3
• y ≥ -3x + 3
• y ≤ -3x + 3

Gabriella and her children went into a bakery that sells cupcakes for $3 each and donuts for $1.50 each. Gabriella has $30 to spend and must buy at least 13 cupcakes and donuts altogether.

If x represents the number of cupcakes purchased and y represents the number of donuts purchased, write and solve a system of inequalities graphically and determine one possible solution.

• (3, 11)

• (7, 5)

• (10, 2)

• (1, 11)