Evaluating Equations
Warm-Up
The variable x represents the number of
The party planning committee has to determine the
number of tables needed for an upcoming event. If a
square table can fit 8 people and a round table can fit 6
people, the equation 150 = 8x + 6y represents the
number of each type of table needed for 150 people.
The variable y represents the number of
If y = 9, find the value of x. The committee needs
square tables.

To finance her community college education, sarah takes out a loan for $2900. after a year sarah decides to pay off the interest, which is 4% of $2900. how much will she pay

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Which verbal expression best describes the algebraic expression 3x ÷ 5? the quotient of three times some number and five the product of some number and five divided by three the quotient of three and some number times five the sum of three and some number divided by five