Algebra Test Systems of Equations 3

Question 1

Two numbers have a sum of 20 and a difference of 6. What are the numbers?

Accepted Answer

13 and 7

Answer

14 and 6

Answer

15 and 5

Answer

12 and 8

Question 2

Solve: 2x + y = 8 and x + 2y = 7

Accepted Answer

x = 3, y = 2

Answer

x = 2, y = 4

Answer

x = 1, y = 6

Answer

x = 4, y = 0

Question 3

If two equations are identical, the system has:

Accepted Answer

Infinitely many solutions

Answer

No solution

Answer

One solution

Answer

Two solutions

Question 4

Solve: 5x + 2y = 20 and y = 5

Accepted Answer

x = 2

Answer

x = 1

Answer

x = 3

Answer

x = 4

Question 5

Which method is most efficient when one equation is already solved for a variable?

Accepted Answer

Substitution

Answer

Graphing

Answer

Elimination

Answer

Matrices

Question 6

A store sells pens for $1 and notebooks for $3. If someone buys 10 items for $18, how many pens were bought?

Accepted Answer

6

Answer

4

Answer

5

Answer

7