Interpret Linear Equations
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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
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
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.
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