PSAT Prep - Math Section; No Calculator

Which of the following is equivalent to 10 + 2(x-7)?

• -14x + 10

• 2x + 24

• 2x + 3

• 2x - 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

3x - y/3 = 21

x = y + 7

Which ordered pair (x, y) satisfies the system of equations shown above?

• (0, -7)

• (4, 27)

• (7, 0)

• (9, -16)

Tags

CCSS.HSA.REI.C.6

a + b = 15

The equation above relates the number of hours, a, Kevin spends doing homework each week and the number of hours he spends watching television each week. If Kevin spends a total of 15 hours doing homework and watching television each week, what does the variable b represent?

• The number of hours spent watching television for each hour spent doing homework

• The number of hours spent watching television each week

• The number of hours spent doing homework each week

• The total number of hours spent doing homework and watching television each week

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Josephine purchases a computer for $4, 590. The computer decreases in value at a constant rate for 9 years, after which it is considered not to have any monetary value. How much is the computer worth 6 years after it is purchased?

• $1,530

• $2,295

• $3,060

• $4,080

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

• -11 + 7i

• -3 + 13i

• 3 - 13i

• 11 - 7i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

• -3

• -1

• 1

• 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Heinrich must buy at least 100 shares of stock for his portfolio. The shares he buys will be from Stock X, which costs $22 per share, and Stock Y, which costs $35 per share. His budget for buying stock is no more than $4,500. He must buy at least 20 shares of Stock X and 15 shares of Stock Y. Which of the following represents the situation described if a is the number of shares of Stock X purchased and b is the number of shares of Stock Y purchased?

• 22a + 35b < 4,500

  a + b > 100

  a < 20

  b < 15

• 22a + 35b < 4,500

  a + b < 100

  a < 20

  b < 15

• 22a + 35b < 4,500

  a + b < 100

  a > 20

  b > 15

• 22a + 35b < 4,500

  a + b > 100

  a > 20

  b > 15

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

x² - 8x + 5

Which of the following is equivalent to the expression above?

• (x - 4)² - 11

• (x - 4)² + 11

• (x + 4)² - 11

• (x + 4)² + 11

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for $10 each. Because the first 20 photographs sold so quickly, she raised the price of the photographs to $15 each for the rest of the project. After her expenses, Juliet earns a profit of 80% of the revenues from her sales. What is the least number of photographs she must sell for the rest of the project to earn a profit of at least $400?

• 18

• 20

• 24

• 32

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2