Topic 4 Review

Solve the system by graphing. Enter your answer as an ordered pair.

y = x + 2

y=-x-2

Does the system of equations have one solution, no solution, or infinitely many solutions?

2x + y = 2

​ y = -2x - 1

​ (a)  

• infinitely many solutions
• one solution
• no solution

Aaron starts walking at a rate of 3 mi/h on a road toward a store 10 mi away. Zhang leaves the store when Aaron starts walking, and he walks toward Aaron along the same road at 2 mi/h. How many hours will pass before they meet?

• 1.5 h

• 10 h

• 2 h

• 3 h

Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his expenses?

• 140

• 9

• 10

• 14

What is the solution of the system of equations? Enter your answer as an ordered pair.

5x - 4y = -10

3x + 2y = 16

Which system has the same solution as the system of equations shown?

8x + 3y = 5

4x + 2y = 3

• 8x + 3y = 5

  -8x - 4y = -6

• 8x + 3y = 5

  −8x − 4y = −6

• 16x + 6y = 5

  12x − 6y = 9

• 8x + 3y = 5

  8x + 4y = 3

What is the solution of the system of equations? Enter your answer as an ordered pair.

The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

• $5.30

• $3.50

• $4.50

• $6.50

Which inequality does the graph represent?

• y < −x − 3

• y > −x − 3

• y ≤ −x − 3

• y ≥ −x − 3

In the graph of an inequality, the area above a solid line through the points (-5, 2) and (3, 2) is shaded. Which inequality does this graph represent?

• y ≥ 2

• y ≤ 2

• y < 2

• x > 2