Systems of Equation and Inequalities- Emily Gilligan

Which expression could be substituted for y in the second equation.

3x+y=14

x+4y=3

• 3-4y

• 3-x

  4

• 14-y

  3

• 14-3x

Your teacher is giving a test that has 12 more three-point questions than five-point questions. The test is worth 100 points. Which system represents this information?

• x+y=12

  3x+5=100

• x+y=12

  5x+3y+100

• x-y=12

  3x+5y=100

• x-y=12

  5x+3y=100

What is one point that lies in the solution set of the inequalities (each box is worth 1/2)

• (1,-1)

• (1,2)

• (1,-2)

• (1,1)

Tags

CCSS.HSA.REI.D.12

Solve Algebraically and Simplify

5/4 x - 2/3 y=-2

x/2 - 4y/5=1

• ( -34/10,27/8)

• (-17/5,-7/8)

• (-17/5,-27/8)

• (-34/10,-54/16)

Regina has $2.35 in nickles and dimes. If she has 33 coins in all, find the number of nickles and dimes.

• Regina has 19 nickles and 14 dimes

• Regina has 7 nickles and 14 dimes

• Regina had 14 nickles and 7 dimes

• Regina has 14 nickles and 19 dimes

If x=5y-1 and 2x+5y= -32, what is the value of y

• -1

• 1

• 2

• -2

An airport shuttle company owns sedans that have a maximum capacity of 3 passengers and vans that have a maximum capacity of 8 passengers. Their 12 vehicles have a combined maximum capacity of 61 passengers. How many vans does the company own.

• 5

• 8

• 12

• 7

Select the correct graph for each inequality: y> 1/3 x=2

• A

• B

• C

• D

Is (0,0) a solution to the system?

• Solution
• Not a solution

Tags

CCSS.HSA.REI.D.12

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 3
• y > 3x   and  y < -2x + 4

Tags

CCSS.HSA.REI.D.12