Math 11 Semester I Final

Front

What is the next term in the sequence: -2, 1, 4, 7, ...?

Back

10

Front

What does it mean when the final step of a system of equations is -8 = -8?

Back

The system has infinite solutions.

Front

Solve for x: |x+3| = 7

Back

x = 4 or x = -10

Front

What system of equations represents the total sales of nachos and sodas if nachos cost $1.50 each and sodas cost $0.50 each, with a total of $78.50 from 87 items sold?

Back

1.5x + 0.5y = 78.5 and x + y = 87

Front

What shape does the graph of an absolute value function have?

Back

A V shape.

Front

Define a sequence in mathematics.

Back

A sequence is an ordered list of numbers following a specific pattern.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the difference between a system of equations with one solution and one with no solution?

Back

One solution means the lines intersect at one point; no solution means the lines are parallel.

Front

What does the absolute value of a number represent?

Back

The distance of that number from zero on the number line.

Front

How do you solve a system of equations graphically?

Back

By plotting the equations on a graph and finding the intersection point.