Linear Equations and Functions Practice

Ajay Singh from Summit Tutoring discusses key algebra topics for the SAT, including graphing linear equations, interpreting linear functions, and solving systems of linear equations. The video covers practical applications and problem-solving strategies, emphasizing the importance of understanding linear equations and their components. Ajay provides examples and encourages viewers to practice these concepts to improve their SAT scores.

What is the main focus of the 'Heart of Algebra' section in the SAT?

• Geometry and Trigonometry

• Linear equations and inequalities

• Data analysis and statistics

• Complex numbers and functions

To find a line perpendicular to another, what must you determine?

• The y-intercept

• The same slope

• The x-intercept

• The negative inverse of the slope

In the equation V = 3450 + 65t, what does the number 65 represent?

• The number of days the drive lasts

• The number of voters registered each day

• The total number of voters

• The initial number of voters

Miguel charges $50 for the first two hours and $20 per hour after. How would you express his total charge for x hours?

• $50 + $20(x-2)

• $50 + $20x

• $20x

• $50x + $20

What is the first step in solving the equation 3(1/2 - y) = 3/5 + 15?

• Subtract 15 from both sides

• Distribute the 3

• Add 3 to both sides

• Multiply both sides by 2

John jogs at 6 mph and bikes at 12 mph. What inequality represents his goal to cover at least 9 miles in no more than 1 hour?

• 6J + 12B ≥ 9

• 6J + 12B ≤ 9

• J + B ≥ 9

• J/6 + B/12 ≤ 1

If two linear equations have the same slope but different y-intercepts, what does this imply?

• They are the same line

• They are parallel and have no solutions

• They intersect at multiple points

• They intersect at one point

Martha bought pants and a briefcase for $130 before tax. If the briefcase had a 9% tax, what was the price of the pants?

• $65

• $75

• $55

• $85

Country X had 783 miles of roads in 2014 and builds 8 miles each year. How many miles will it have in 2030?

• 850 miles

• 911 miles

• 1000 miles

• 800 miles