Unit 7 Test Review Multiple Choice

Which of the following sets of values is a solution to the system shown below?

a + b = 18

b = 2a

• a = 6 and b = 10

• a = 6 and b = 12

• a = 5 and b = 10

• a = 12 and b = 6

Which value of n below is a solution to the system shown?

m + 2n = 11

-2m + n = 23

• n = - 9

• n = -7

• n = 9

• m = 9

A local restaurant has tables that sit two people and tables that sit four people. The restaurant has a total of 17 tables and can sit a total of 54 people. If x is the number of two person tables and y is the number of four person tables, then which system of equations below models the information given in this problem?

• x + y = 54

  2x + 4y = 17

• 2(x + y) = 54

  4x - 2y = 17

• 2x + 2y = 17

  4x + 4y = 54

• x + y = 17

  2x + 4y = 54

Which system of inequalities is shown graphed?

• y ≤ 6

  y > x + 1

• x ≤ 6

  y < x + 1

• y < 6

  y ≥ x + 1

• x > 6

  y ≤ x + 1

Solve the following system of equations using the method of substitution.

4x - 7y = 18

y = x - 6

• x = 8 , y = 2

• x = -2 , y = 8

• x = 8, y = 0

• x = 8, y = -2

When solved graphically, which system of equations will have exactly one point of intersection?

• y = - x - 20

  y = x + 17

• y = . 5 x + 30

  y = . 5 x - 30

• y = x + 5

  • -y + x = - 5

What is the value of the y-coordinate of the solution to the system of equations

2x + y = 8

x - 3y = - 3

• -2

• 2

• 3

• -3

The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert ticket sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

• $20

• $10

• $8

• $4

Which inequality is represented in the graph below?

Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?

• 1.60 x +1.75 y < 10