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2. Quadratic Functions
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Algebra 2

2.03 Quadratic equations with real solutions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

A number multiplied by $7$7 is equal to $8$8 less than the square of that number.

If the unknown number is $y$y, which of the following equations represents this situation?

$7y=y^2-8$7y=y2−8

A

$y^2-7=8y$y2−7=8y

B

$7y+y^2-8=0$7y+y2−8=0

C

$7y=8-y^2$7y=8−y2

D
Easy
< 1min

The altitude of a particular triangle is twice the length of the base $b$b.

If the area of the triangle is $196$196 square inches, write an equation to represent the situation.

Do not solve for $b$b.

Easy
< 1min

The side length of a square tile is $a$a centimeters. A rectangle with an area of $324$324 square centimeters is formed by placing $4$4 of these tiles in a row.

Which of the following equations represents this situation?

Medium
< 1min

Three more than a number is multiplied by three less than the same number, and the result is $72$72.

If the number is given by $x$x, which of the following equations represents this situation?

Medium
< 1min
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Outcomes

A2.EI.2

The student will represent, solve, and interpret the solution to quadratic equations in one variable over the set of complex numbers and solve quadratic inequalities in one variable.

A2.EI.2a

Create a quadratic equation or inequality in one variable to model a contextual situation.

A2.EI.2b

Solve a quadratic equation in one variable over the set of complex numbers algebraically.

A2.EI.2d

Verify possible solution(s) to quadratic equations or inequalities in one variable algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

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