Understanding Square Roots and Extraneous Solutions

Front

The number under the radical sign or square root sign is called the ______.

Back

radicand

Front

Back

Divide both sides by 2

Front

To undo a square root in an equation, you need to...

Back

square both sides

Front

Solve the radical equation and check for extraneous solutions.

Back

C

Front

Why do we need to check for extraneous solutions?

Back

They make the equation untrue.

Front

System of equations for equal pizza cost: $9 + $0.50x = $12 + $0.25x

Back

y = 0.50x + 9, y = 0.25x + 12

Front

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

Back

t + n = 54 t = 3n + 8

Front

Nancy went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

Back

4x + 6y = 13, 3x + 7y = 13.5

Front

Solve each system by substitution.

Back

A

Front

What is the solution to this system of equations? Options: (4, -1), (-1, 4), (-4, 1), (-4, -1)

Back

(4, -1)