SAT Algebra No Calculator

5x − y = 11

2x − 2y = 9

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

• −2

• 0

• 2

• 4

Tags

CCSS.HSA.REI.C.9

Two numbers have a difference of 4 and a sum of −7. What is their product?

• −33

• −10.25

• 8.25

• 10.25

It cost Emmy p dollars to make each of her custom bracelets, which sell 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 Emmy to make each bracelet?

• $36

• $38

• $48

• $60

Tags

CCSS.8.EE.C.7B

If the lines 4x + 5y = 12 and 6y − kx = 6 are perpendicular, what is the value of k?

• 3.5

• 5.5

• 7.5

• 9.5

Tags

CCSS.8.EE.B.6

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

• x > −2 and x ≤ 1

• x < −2 and x ≥ 1

• x ≥ −2 and x < 1

• x ≤ −2 and x > 1

The annual profit from the sales of an item is equal to the annual revenue minus the annual cost for that item. The revenue from that item is equal to the number of units sold times the price per unit. If n units of a portable heart monitor were sold in 2012 at a price of $65 each and the annual cost to produce in units was $(20,000 + 10n), then which of the following statements indicates the total profit for the heart monitor in 2012 was greater than $500,000?

• 500,000 < 55n − 20,000

• 500,000 > 55n − 20,000

• 500,000 < 55n + 20,000n

• 500,000 < 75n − 20,000n

Colin can read a maximum of 25 Pages an hour. If he has been reading a 250-page book for H hours, where H < 10, and has P pages left to read, which of the following expresses the relationship between P and H?

• 
• 
• 
• 

On the real number line, a number, x, is more than four 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

If a factory can manufacture b computer screens in n days at a cost of c dollars per screen, then which of the following represents the total cost, in dollars, of the computer screens that can be manufactured, at that rate, in m days.

• 
• 
• 
• 

Which of the following is equivalent to 5x(2x × 3) - 5x² for all real values of x?

• 5x² + 15x

• 25x²

• 5x² - 15x

• 10x² × 15x - 5x²

Tags

CCSS.6.EE.A.3