United States of AmericaPA
High School Core Standards - Algebra I Assessment Anchors

# 3.05 Practical problems with equations

## Interactive practice questions

When a number is added to both the numerator and denominator of $\frac{1}{5}$15, the result is $\frac{3}{7}$37.

Let $n$n represent the number. Solve for $n$n.

Easy
Approx 3 minutes

The perimeter of the trapezoid below is $27$27 centimeters.

Valentina tries to guess how many people are at a concert, but she guesses $400$400 too many. Kenneth guesses $150$150 too few. The average of their guesses is $3625$3625. Solve for $x$x, the exact number of people at the concert.

$4$4 divided by the sum of $x$x and $6$6 equals the quotient of $2$2 and the difference of $x$x and $6$6.

Solve for $x$x.

### Outcomes

#### A1.1.2.1.1

Write, solve, and/or apply a linear equation (including problem situations).

#### A1.1.2.1.3

Interpret solutions to problems in the context of the problem situation. Note: Linear equations only.