**Q17: **

Suppose a system of equations has fewer equations than variables. Must such a system be consistent?

- ANo
- BYes

**Q18: **

A food drive collected two different types of canned goods: green beans and kidney beans. Overall, they collected 350 cans whose total weight was 348 lbβ12 oz. If you know that the green bean cans weigh 2 oz less than the kidney bean cans, is it possible to find how many of each can was donated?

- AYes, the system is independent.
- BNo, the system is inconsistent.
- CNo, there are multiple solutions.

**Q19: **

What property, in two dimensions, is true for two lines represented by two linear equations that do NOT simultaneously have a solution?

- AThey are coincident.
- BThey are perpendicular.
- CThey are skew.
- DThey are parallel.
- EThey are neither parallel nor perpendicular.

**Q20: **

What is the value of for which the simultaneous equations and do not have a unique solution?

**Q21: **

What is true, in two dimensions, for two linear equations that simultaneously have infinitely many solutions?

- ABoth equations represent perpendicular lines.
- BBoth equations represent parallel lines.
- CBoth equations represent intersecting lines.
- DBoth equations represent the same line.
- EBoth equations represent horizontal lines.

**Q22: **

Consider the three equations

- ,
- ,
- .

Which equations have the same solution set?

- Anone
- B(A), (B), and (C)
- C(A) and (B) only
- D(A) and (C) only
- E(B) and (C) only

**Q23: **

Admission into an amusement park for 4 children and 2 adults is $116.90. For 6 children and 3 adults, the total price is $175.35. Assuming the price for children and adults is different, what type of system of equations does the scenario create?

- Aindependent system of equations
- Binconsistent system of equations
- Cdependent system of equations

**Q24: **

Your friend is thinking of two numbers. She tells you that the numbers add up to 104. Also, two times the first number plus two times the second number is 208. Is it possible to work out the numbers your friend chose?

- AYes, the system of equations is independent.
- BNo, the system of equations is inconsistent.
- CNo, there are infinitely many solutions.

**Q25: **

The simultaneous equations represented by the straight lines and have an infinite number of solutions. Which of the following describes the relationship between the lines and ?

- AThey are perpendicular.
- BThey are parallel.
- CThey intersect in one point.
- DThey are coincident.