Algebra I Semester Review Part 2

Front

Solve for x and y: 3x + 2y = 16; 7x + y = 19

Back

(2, 5)

Front

Which equations could be used to determine the cost of the coffee? Joe bought 10 cups of coffee and 5 doughnuts for $16.50 on Monday and 5 cups of coffee and 10 doughnuts for $14.25 on Tuesday.

Back

10c + 5d = 16.50; 5c + 10d = 14.25

Front

Solve the system of equations: y = 4x + 1; 3x + 2y = 13

Back

(1, 5)

Front

Which system of equations could be used to find the number of toppings when both companies cost the same? A large pizza at Palanzio’s costs $6.80 + $0.90 per topping; Guido’s costs $7.30 + $0.65 per topping.

Back

y = 6.80 + 0.90x; y = 7.30 + 0.65x

Front

What is the solution to the system?

Back

(1, 3)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for a variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.