Systems of Equations Review Quiz

Solve the following system of equations by graphing: y = 2x - 3 and y = -x + 5

• The point of intersection is (2, 1).

• The point of intersection is (4, 3).

• The point of intersection is (0, 5).

• The point of intersection is (3, 2).

Graph the system of equations: 2x + y = 7 and 3x - y = 4

• Option A: The graph will show two parallel lines.

• Option B: The graph will show two intersecting lines at the point (0, 7).

• Option A: The graph will show two lines intersecting at the point (3, 1).

• Option C: The graph will show two intersecting lines at the point (4, 3).

Solve the following system of equations by substitution: 3x - 2y = 8 and 2x + y = 4

• x = 3, y = 1

• x = 4, y = 2

• x = 1, y = 3

• x = 2, y = 0

Use substitution to solve the system of equations: 4x - 3y = 5 and 2x + y = 7

• x = 6, y = 3

• x = 2, y = 4

• x = 5, y = 2

• x = 3, y = 1

Solve the following system of equations by elimination: 2x + 3y = 11 and 4x - 3y = 7

• x = 5

• y = 4

• x = 2

• x = 3

Use elimination to solve the system of equations: 3x - 2y = 5 and 2x + 4y = 10

• x = 4, y = 1

• x = 5, y = 2

• x = 3, y = -2

• x = -2, y = 3

Find the number of solutions to the system of equations: 3x - 2y = 8 and 6x - 4y = 16

• No solution

• Two solutions

• One solution

• infinitely many solutions

Determine the number of solutions to the system of equations: 2x + 3y = 7 and 4x + 6y = 14

• No solution

• One solution

• Two solutions

• Infinitely many solutions

Solve the word problem using systems of equations: The sum of two numbers is 10. One number is 2 more than the other. Find the numbers.

• The numbers are 3 and 7.

• The numbers are 4 and 6.

• The numbers are 8 and 2.

• The numbers are 5 and 5.

A fruit vendor sells apples for $2 each and oranges for $3 each. If he sells a total of 15 fruits for $40, how many apples and oranges did he sell?

• The fruit vendor sold 12 apples and 3 oranges.

• The fruit vendor sold 10 apples and 5 oranges.

• The fruit vendor sold 6 apples and 9 oranges.

• The fruit vendor sold 8 apples and 7 oranges.