Tests Uncovered: Heart of Algebra Questions in Redesigned SAT Math

This week we are taking a closer look at the Heart of Algebra Questions on the redesigned SAT Math section.

What does this question look like?

The redesigned SAT will contain a number of questions that the College Board now calls the “Heart of Algebra.” These questions will ask you to solve for a variable, create equations out of word problems, or interpret formulas.

Examples:

3a + 2b = 33
a – 5b = -2a – 9

1. Based on the system of equations above, what is the sum of a and b?

A) -1
B) 5
C) 7
D) 13

2. Each month, Kayla’s phone company charges her $29 dollars for her mobile phone, which includes 100 free texts. The company then adds 10 cents for every text she sends after the first 100. Which of the following expresses the amount in dollars, D, of Kayla’s phone bill in a month when she sends x texts, where x > 100?

A) D = .10x
B) D = 29 + .10x
C) D = 29 + 10(x – 100)
D) D = 29 + .10(x –100)

How often does this question appear?

Each test will contain 19 Heart of Algebra Questions (33% of the total Math score). A slightly larger percentage of the No Calculator section is made up of these questions (40% of the No Calculator section vs. 29% of the Calculator section).

How does this compare to the current SAT?

The current SAT also tests algebra, but it will now make up a larger part of the redesigned test. This rise of importance is because the redesigned SAT contains less geometry. Instead, the College Board now thinks algebra is more important for college and real-life. The Heart of Algebra Questions on the new test also include many more systems of equations (see example #1 above) and ask students to prove they truly understand how equations work.

What does this mean for students?

Brush up on those algebra skills. For some juniors and seniors, Algebra 1 was a class they took years ago. For others, Algebra 2 may be a class they haven’t finished yet. Students will not only have to review how to solve for a variable but also how to carefully translate words into equations (see example #2 above).

The heavy emphasis on algebra in the No Calculator section means that students need to know how to quickly solve algebraic expression AND that some of the traditional test prep tricks—like plugging in numbers—may be time consuming and not as helpful. A strong foundation in algebra is now key!

Will this question be on the PSAT?

Yes, and it will make up the same percentage of the test as on the SAT.

Megan Stubbendeck

About Megan Stubbendeck

Dr. Megan Stubbendeck is an eight-year veteran of the test prep industry with ten years of teaching experience. She earned her PhD in History from the University of Virginia, where she taught for three years in the History Department. She has been part of the test prep industry since 2007 and has earned perfect scores on the SAT, ACT, GRE, and multiple AP exams. As the CEO of ArborBridge, Megan oversees all aspects of ArborBridge operations and helped to create our innovative curriculum.

You also might like: