PSAT Math (no calculator)

A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time.  If the babysitter gets the children to bed on time, what expression could be used to determine how much the babysitter earned?

• 8x+3 where x is the number of hours
• 3x+8 where x is the number of hours
• x(8+2) + 3 where x is the number of children
• 3x+(8+2) where x is the number of children

Tags

CCSS.7.NS.A.3

3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y ?

• -4/3
• -2/3
• 1/3
• 2/3

Tags

CCSS.7.EE.B.3

• (-112, -264)

• (64,88)

• (232/3, 224/3)

• (288,536)

• 12
• 20
• 24
• 28

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

In a certain game, a player can solve easy or hard puzzles.  A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle.  Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all.  How many hard puzzles did Tina solve?

• 10
• 15
• 25
• 35

Tags

CCSS.7.EE.B.3

2x² + 7x - 15 = 0

If r and s are two solutions of the equation above and r > s, which of the following is the value of r - s?

• 15/2

• 13/2

• 11/2

• 3/2

To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn. if x represents the number of hours spent cutting a lawn, what are the value of x for which Taylor's total charge is greater than Allan's total charge?

• x > 4

• 
• 
• x < 3

• A
• B
• C
• D

Tags

CCSS.7.RP.A.2B

• A
• B
• C
• D

Tags

CCSS.7.EE.B.3

CCSS.7.EE.A.1

CCSS.7.EE.A.2

CCSS.7.EE.B.4

If f(x-1)=2x+3 for all values of x, what is the value of f(-3)

• -7
• -5
• -3
• -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2