SAT Math Algebra

Which of the following represents the equation of the line with an x-intercept of 5 and y intercept of 6?

• y - 6 = (-6/5)(x - 5)

• y - 6 = (-5/6)(x - 5)

• y - 6 = (-6/5)x

• y - 6 = (-5/6)x

Which of the following statements is equivalent to the statement -4 < x ≤ 2

• x > -2 and x ≤ 1

• x < -2 and x ≥ 1

• x ≥ -2 and x < 1

• x ≤ -2 and x > 1

On a real number line, a number, x, is more than 4 times as far from 10 as it is from 40. Which of the following statements describes all possible values of x?

• x < 34 or x > 50

• x > 40

• 34 < x < 50

• 32.5 < x < 160

Which of the following is equivalent to the statement

|x - 2| < 1

• x < 3

• x < -1

• 1 < x < 3

• -1 < x < 3

5x - y = 11

2x - 2y = 9

Based on the system above, what is the value of 3x + y?

• -2

• 0

• 2

• 4

It costs Emma P dollars to make each of her custom bracelets, which she sells for m dollars a piece. She makes a profit of $60 if she makes and sells 5 of these bracelets, but she only makes a profit of $10 if she makes 5 bracelets but only sells 4 of them. How much does it cost Emma to make each bracelet?

• $36

• $38

• $48

• $50

If y varies inversely as the square of x, then when x is multiplied by 4, y will be

• divided by 16

• divided by 2

• multiplied by 16

• multiplied by 2

If y varies inversely as the square of x, and y = 4 when x = 2, then what is the value of y when x = 3?

• 16/9

• 8/3

• 3

• 9

T = 0.25q + 87

Manon's statistics professor puts a bonus question on every test, which adds 0.25 points to a student's overall grade at the end of the term. The above equation gives Manon's current overall grade, T, after taking into account q extra credit questions answered correctly. What does the 87 mean in this equation?

• Manon must get an 87 or above to pass.

• Manon's average is an 87 before adding the extra credit.

• After adding in her extra credit, Manon's average is an 87.

• Manon's professor gave 87 opportunities for extra credit this term.

Zhan Lei Spent $20.00 during his last outing at the bowling alley. This included a one time show rental fee of $3.50. He spent the rest of the money on bowling a number of games. If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, how much did it cost per game?

• $3.00

• $5.50

• $6.67

• $7.34