Related Topics:

More Lessons for Heart of Algebra

More Lessons for SAT Math

More Resources for SAT

Algebra Tutorials

This video is for the redesigned SAT which is for you if you are taking the SAT in March 2016 and beyond.

Calculator: Not Permitted

Heart of Algebra

**Linear equation word problems**

Example:

In 2017, Celeste's income tax was $2,290. Her income tax rate was 10% for the first $13,000 of her income and 15% for her income in excess of $13,000. Which of the following best models x, Celeste's income in dollars in 2017?

a) (0.1 + 0.15)x - 13,000 = 2,290

b) 0.15 - (0.1)(13,000) = 2,290

c) (0.1)(13,000)(0.15x) = 2,290

d) (0.1)(13,000) + 0.15(x - 13,000) = 2,290

**Interpret Linear Equations**

Example:

The mean number of students per classroom, y, at Central High School can be estimated using the equation y = 0.8636x + 27.277, where x represents the number of years since 2004 and x ≤ 10. Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?

A) The estimated mean number of students per classroom in 2004

B) The estimated mean number of students per classroom in 2014

C) The estimated yearly decrease in the mean number of students per classroom

D) The estimated yearly increase in the mean number of students per classroom Go to next Question

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Heart of Algebra

More Lessons for SAT Math

More Resources for SAT

Algebra Tutorials

This video is for the redesigned SAT which is for you if you are taking the SAT in March 2016 and beyond.

Calculator: Not Permitted

Heart of Algebra

Example:

In 2017, Celeste's income tax was $2,290. Her income tax rate was 10% for the first $13,000 of her income and 15% for her income in excess of $13,000. Which of the following best models x, Celeste's income in dollars in 2017?

a) (0.1 + 0.15)x - 13,000 = 2,290

b) 0.15 - (0.1)(13,000) = 2,290

c) (0.1)(13,000)(0.15x) = 2,290

d) (0.1)(13,000) + 0.15(x - 13,000) = 2,290

Example:

The mean number of students per classroom, y, at Central High School can be estimated using the equation y = 0.8636x + 27.277, where x represents the number of years since 2004 and x ≤ 10. Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?

A) The estimated mean number of students per classroom in 2004

B) The estimated mean number of students per classroom in 2014

C) The estimated yearly decrease in the mean number of students per classroom

D) The estimated yearly increase in the mean number of students per classroom Go to next Question

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

[?] Subscribe To This Site