Linear Systems and Equations

Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages.

Which two equations below form a system of equations to represent the situation, using d for days and p for pages.

• p = d + 6

• p = 6d

• p = d + 5 + 15

• p = 5d + 15

How many solutions does the system of equations have?

• No solution

• One solution at x = 0, y = 0

• One solution at x = 0, y = 5

• Infinitely many solutions

Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a fee of $1.25, plus $2.00 per mile. At what distance would the taxis cost the same?

• 2 miles

• 5 miles

• 9 miles

• 15 miles

Solve the system of equations. How many solutions does the system have?

• No solutions

• One solution at x = 2, y = 4

• One solution at x = 3, y = 2

• Infinitely many solutions

Solve the system of equations using elimination.

• f = -2, g = 1

• f = -1, g = 2

• f = 1, g = -2

• f = 2, g = -1

What is the solution to the system of equations?

• No solution

• One solution at x = 1, y = 12

• One solution at x = 0, y = 4

• Infinitely many solutions

Use substitution. What is the solution to the system of equations?

• No solution

• One solution at x = 4, y = 8

• One solution at x = 0, y = 4

• Infinitely many solutions

Nia sells pizzas. Large pizzas cost $8 each, and small pizzas cost $6 each. She sold 12 pizzas for $84. How many of each size pizza did Nia sell?

• 4 small and 8 large pizzas

• 5 small and 7 large pizzas

• 6 small and 6 large pizzas

• 10 small and 2 large pizzas

A 40-question test has 132 possible points. There are m 5-point questions and n 1-point questions. How many of each type of question is on the test?

• m = 23, n = 17

• m = 25, n = 25

• m = 30, n = 20

• m = 35, n = 15